2026
2025
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Analytical and HYDRUS2D Modeling for Buried Peat-filled Trapezoidal Ditches as Subsurface Capillarity-Driven Irrigating Units. / Anvar Kacimov, Yurii Obnosov, Tatyana Nikonenkova, Andrey Smagin. // Modeling Earth Systems and Environment 11(2). — DOI: 10.1007/s40808-025-02301-6 (IF=4.27, Q1-Q2).
KacObNikSm.pdf -
Kacimov A., Obnosov Yu., Umarova A., Sadovnikova N., Al-Shukaili A., Smagin A. Saturated-unsaturated seepage from Kornev's subsurface element: comparison of analytic and numerical solutions. Proceedings of the XVII International Kazan School-Conference «Theory of Functions, Its Applications and Related Issues“, Kazan, August 24-28, 2025, Proceedings of the N.I.Lobachevsky Mathematical Centre, Kazan University, V.69, pp. 85-88.
KacimovObnosovltd_.pdf -
Kacimov A.R., Obnosov Yu.V. Mixed Boundary-Value Problem in Microfluidics: Aver'yanov-Blunt Model Revisited. ANZIAM J., v.67, e16 (2025) pp.1-14 (Cambridge University Press) (IF 0.9, Q3)
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Two-dimensional Capillarity-Driven Seepage From a Lined Buried Ditch: the Kornev Subsurface Irrigation “Absorptional” Method Revisited. / Anvar Kacimov, Yurii Obnosov, Tatyana Nikonenkova, Andrey Smagin. // Advances in Water Resources. — Vol. 199. — 2025. — DOI:https://doi.org/10.1016/j.advwatres.2025.104917 (IF=4.0, Q1).
F_ADWR_25.pdf
2024
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A.R.Kacimov, Yu.V.Obnosov, A.Smagin, S.Al-Yaqoubi, S. Al-Ismaily, Ali Al-Maktoumi.
Urban evapotranspiring green entities (parks and gardens) in hyperarid megalopolises of the Gulf countries: hydroecology in conditions of waterlogging and high salinity of the root zone. 4th International Conference “SMART AND SUSTAINABLE CITIES”, JULY 3 – 5, 2024, RUDN University, Moscow, Russia.
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Shahad A Al-Yaqoubi, Ali Al-Maktoumi, Yurii Obnosov, Anvar Kacimov. Clogging of toe drain drastically affects phreatic seepage in earth dams. Advances in Water Resources (Elsevier), 190 (2024) 104737 (WoS IF=4.51, Q1)
2023
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Anvar Kacimov, Yurii Obnosov Phreatic seepage around a rectilinear cutoff wall: the Zhukovsky-Vedernikov-Polubarinova-Kochina dispute revisited. Advances in Water Resources (Elsevier), 173(2023) 104367 (pp.1-12), DOI: 10.1016/j.advwatres.2023.104367 (WoS IF=4.51, Q1)
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A. R. Kacimov, Yu. V. Obnosov. Analytical and HYDRUS Solutions for Exfiltration Through Inclined Seepage Faces. Advances in Water Resources (Elsevier) 2023, https://doi.org/10.1016/j.advwatres.2023.104517 (WoS IF=5.361, Q1)
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A. R. Kacimov, Yu. V. Obnosov Is Thermal Diffusivity of Unsaturated Soils a Mono-Maximum Function of the Moisture Content? The Chudnovsky Legacy Revisited. Journal of Engineering Physics and Thermophysics. 2023, 96-5, pp. 1361-1371, DOI 10.1007/s10891-023-02801-1(IF=0.331, Q2)
- A. R. Kacimov, Yu. V. Obnosov. Analytical and numerical modeling of seepage in domains with a free boundary, tilted bedrock and seepage face: the Pavlovskii legacy revisited. В сб. «Теория функций, ее приложения и смежные вопросы». Материалы четырнадцатой международной Казанской научной школы - конференции (Казань, 22-27 августа 2023 года). Труды матем. центра им. Н.И. Лобачевского. 2023. - Т.66. - С.118-120.
2022
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Shahad A Al-Yaqoubi, Ali Al-Maktoumi, Yurii Obnosov, Anvar Kacimov, Drawdown of Urban Drain Trenches Triggering 2-D Transient Seepage in Soil Massifs Subject to Managed Aquifer Discharge: Sandbox Experiments, Analytical and HYDRUS2D Modeling. Urban Water Journal, Taylor & Francis , DOI: https://doi.org/10.1080/1573062X.2021.1999989 .(WoS IF=2.081, Q3, Scopus IF=2.675, Q1)
- Kacimov, A., Obnosov, Yu., V., and Šimůnek, J., 2022. Subterranean holes in the arid vadose zone as perturbations of descending pore water fluxes: J. R. Philip's legacy revisited. Abstracts of the International Conference “Water Resources Management and Sustainability: Solutions for Arid Regions”, Dubai, March, 22-24, 2022. Pp. 46-49. Edited by M.Sherif, M.A.Faiz and A. Sefelnasr.
- Yu.V. Obnosov Analytical evaluation of the effective electric resistivity and Hall coefficient in the rectangular and triangular checkerboard composites. Lobachevskii Journal of Mathematics. 2022, Vol.43 (10),2989-3004, DOI: 10.1134/S1995080222130352 (IF=0.969,Q3)
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Kacimov A.R, Obnosov Y.V, Šimůnek J., «Seepage-evaporation controlled depletion of initially water-filled reservoirs on Earth and Mars: Analytic versus HYDRUS modelin//Icarus. - 2022. - Vol.372, Is.. - Art. №114719.
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Kacimov A. R. Profiling Ponded Soil Surface in Saturated Seepage Into Drain-Line Sink: Kalashnikov's Method of Lateral Leaching Revisited / A. R.Kacimov, Yu. V. Obnosov // European Journal of Applied Mathematics. - 2022, doi:10.1017/S0956792522000171
F_EJAM2022.pdf -
A. R. Kacimov, Yu. V. Obnosov, and J. Šimůnek. Seepage to staggered tunnels and subterranean cavities: analytical and HYDRUS modeling. Advances in Water Resources (Elsevier) 2022, Volume 164, article id. 104182. DOI: https://doi.org/10.1016/j.advwatres.2022.104182 (WoS IF=4.51, Q1)
2021
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Anvar Kacimov, Ali Al-Maktoumi, Said Al-Ismaily, Ahmed Al-Mayahi, Afrah Al-Shukaili, Yurii Obnoso, Abdalla Osman, Water Table Rise in Arid Urban Area Soils Due to Evaporation Impedance and Its Mitigation by Intelligently Designed Capillary Chimney Siphons. Environmental Earth Sciences (Springer) DOI: 10.1007/s12665-021-09857-3 (IF=2.784, Q3 ,Q2)
_Dewatering_by_siphons.pdf -
Yu.V.Obnosov, A. Al-Maktoumi, A.R.Kacimov. Seepage through earth dam with clay core and toe drain: the Casagrande-Numerov analytical legacy revisited. ISH J. Hydraulic Eng. (Taylor & Francis), 2021 27, (S1),264-272. https://doi.org/10.1080/09715010.2019.1633694 (IF=0.56, Scopus Q2)
IS__J_E2019.pdf -
A. R. Kacimov, Yu. V. Obnosov , and J. Šimůnek Seepage-Evaporation Controlled Depletion of Initially Water-Filled Reservoirs on Earth and Mars: Analytic Versus HYDRUS Modeling. Icarus (Elsevier) https://doi.org/10.1016/j.icarus.2021.114719 (IF=3.516, Q2)
F_pagination_YICAR_114719obn.pdf
2020
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A. R. Kacimov, Yu. V. Obnosov, and J. Šimůnek. Seepage to Ditches and Topographic Depressions in Saturated and Unsaturated Soils. Advances in Water Resources (Elsevier), 2020, Volume 145, article id. 103732. DOI: 10.1016/j.advwatres.2020.103732 (IF=4.016, Q1)
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A. R. Kacimov, Yu. V. Obnosov, and J. Šimůnek. Seepage to Ditches and Topographic Depressions in Saturated and Unsaturated Soils. Advances in Water Resources (Elsevier), 2020. DOI: 10.1016/j.advwatres.2020.103732
ADWR_2020__Kacimov_Obnosov_Simunek.pdf
2019
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Obnosov Yurii, Zulkarnyaev Airat. Nonlinear mixed Cherepanov boundary value problem. Complex Variables and Elliptic Equations. V.64(6) 2019,p.979-996. DOI:10.1080/17476933.2018.1493465
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A. R. Kacimov, Yu. V. Obnosov and J. Šimůnek. Minimizing Evaporation by Optimal Layering of Topsoil: Revisiting Ovsinsky's Smart Mulching‐Tillage Technology Via Gardner‐Warrick's Unsaturated Analytical Model and HYDRUS. WRR (Wiley), 2019, 55(5), p. 3606-3618. DOI: 10.1029/2018WR024025
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A.R. Kacimov, Yu.V.Obnosov, D. Or. Evaporation Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: the Vedernokov-Bouwer Model Revisited. Transport in Porous Media (Springer), 2019, DOI: 10.1007/s11242-019-01285-z, accepted, TIPM-D-18-00549R1 (IF=2.205, Q2)
F_TiPM_2019.pdf -
Anvar Kacimov and Yurii Obnosov. Analytic Solutions for Infiltration-Evaporation Formed Fresh Groundwater Lenses Floating on Saline Water Table Under Desert Dunes: Kunin-Van Der Veer Legacy Revisited. J. of Hydrology (Elsevier), 2019, DOI: 10.1016/j.jhydrol.2019.04.065 (IF=3.727, Q1)
F_Journal_of__ydrology2019.pdf -
Obnosov Yu.V. Regular hexagonal three-phase checkerboard / Yu.V. Obnosov // Journal of Mathematical Analysis and Applications. - 2019. - DOI: 10.1016/j.jmaa.2019.06.007
F__exagon.pdf -
Kacimov, A.R., Obnosov, Yu. Al-Maktoumi,A., Dipolic MAR “bubble” inside confined brine formation or floating “lens” on top of unconfined saline aquifer. In Proceedings of the International Symposium on Managed Aquifer Recharge (ISMAR 10) “Managed Aquifer Recharge: Local solutions to the global water crisis”, Ed. Enrique Fernández Escalante, Madrid, Spain pp.333-340.
F_ISMAR_10_paper_Kacimov_et_al_.pdf -
Kacimov A.R, Obnosov Y, J. Šimůnek, Minimizing Evaporation by Optimal Layering of Topsoil: Revisiting Ovsinsky's Smart Mulching-Tillage Technology Via Gardner-Warrick's Unsaturated Analytical Model and HYDRUS//Water Resources Research. 2019, 55(5), p. 3606-3618. DOI: 10.1029/2018WR024025, http://dx.doi.org/10.1029/2018WR024025 (IF=4.397, Q1)
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Obnosov Y.V., Regular hexagonal three-phase checkerboard//Journal of Mathematical Analysis and Applications. - 2019. - Vol.478, p.1147 -1162 .
- Kacimov Anvar, Obnosov Yurii. Analytical Solution to Problem of 2-D Seepage From Aquifer Towards Stream via Clogged Bed: the Trefftz-Toth Legacy Conjugated. Advances in Water Resources (Elsevier), v.131 (2019) 103372, DOI: 10.1016/j.advwatres.2019.07.002 (IF=3.512, Q1)
- Обносов Ю.В. Решение задачи R-линейного сопряжения для 3-х фазного правильного гексагонального шахматного поля/Обносов Ю.В.// Теория функций, ее приложения и смежные вопросы. Материалы четырнадцатой международной Казанской научной школы - конференции (Казань, 7-12 сентября 2019 года). Труды матем. центра им. Н.И. Лобачевского. 2019. - Т.57. - С.258-260.
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Kacimov A., Obnosov Yu., Al-Maktoumi Ali. Dipolic MAR “Bubble” Inside Confined Brine Formation or Floating “Lens” on Top of Unconfined Saline Aquifer. In: Abstracts Book and Program of International Symposium on Managed Aquifer Recharge, Madrid, May,20-24, 2019. - Madrid, 2019. - P.25.
Madrid2019abstract.pdf
2018
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Yu.V.Obnosov, A.R.Kacimov. Steady Darcian Flow in Subsurface Irrigation of Topsoil Impeded by Substratum: Kornev-Riesenkampf-Philip Legacies Revisited. Irrigation and Drainage (Wiley), 2018.67(3),374-391 DOI: 10.1002/ird.2220
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Kacimov A., Obnosov Y. Analytical Solution for Sharp Interface Flow to a Sink With an Upconed “Hanging” Saline Water Lens: Strack's Regimes Revisited / A. Kacimov, Y. Obnosov // Water Resources Research. - 2018,- 54(1) - P. 609-620.
WRR2018.pdf -
A. R. Kacimov, Yu. V. Obnosov. Well Bore Clogging of a Pumping Well in Hydraulic Interference With an Ambient Groundwater Flow: the Strack-Kostitsina Refraction Problem in an Annular Composite Redux. Hydrogeology J., Springer.V.26(7), 2018, 2531-2541. DOI: 10.1007/s10040-018-1857-4
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Kacimov A.R, Obnosov Y.V, Simunek J., Steady Flow from an Array of Subsurface Emitters: Kornev?s Irrigation Technology and Kidder?s Free Boundary Problems Revisited//Transport in Porous Media. - 2018. - Vol.121, Is.3. - P.643-664.
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Kacimov A.R, Obnosov Y.V, Al-Maktoumi A., Dipolic Flows Relevant to Aquifer Storage and Recovery: Strack?s Sink Solution Revisited//Transport in Porous Media. - 2018. - Vol.123, Is.1. - P.21-44.DOI:10.1007/s11242-018-1025-2
2017
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Kacimov, A. R., and Y. V. Obnosov (2017), Analytical solution for tensionsaturated and unsaturated flow from wicking porous pipes in subsurface irrigation: The Kornev-Philip legacies revisited, Water Resour. Res., 53(3), p.2542-2552,doi:10.1002/2016WR019919.
WRR2017.pdf -
Kacimov, A.R., Al-Maktoumi, A., Al-Ismaily, S., Obnosov, Yu.V., Al-Busaidi, H. Evaporation and heat convection through a “smartly designed” structured topsoil. 3p. In “10th International Conference on Thermal Engineering: theory and Applications. February 26-28, Muscat, Oman.” Ed. Ziad Saghir. Ryerson University, 2017.
Thermal_Eng_Conf_February_2017i.pdf -
Kacimov, A.R., Al-Maktoumi, A., Obnosov, Yu. Al-Ismaily, S., Yakimov, N., Al-Shukaili, A. 2017. Analytical-Numerical Modeling of Transient 1-, 2-D Darcian Flows in Stratified Reservoir Beds and Embankments of Zoned Earth-Filled Dams Subject to Flash-Flood Induced Draw-ups and Draw-downs: Kalinin's Legacy Redux. In Abstracts of the Third International Symposium on Flash Floods in Wadi Systems “Disaster Risk Reduction and Water Harvesting in the Arab Region”, Muscat, Oman, Dec. 5-7, 2017, p.44.
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A. R. Kacimov, Yu. V. Obnosov, and J. Šimůnek. Steady Flow From an Array of Subsurface Emitters: Kornev's Irrigation Technology and Kidder's Free Boundary Problems Revisited, Transport in Porous Media, 2017, Springer DOI: 10.1007/s11242-017-0978-x
- A.R.Kacimov, A.Al-Maktoumi, Yu.V.Obnosov. Phreatic/Confined Flows in Polygons: Dupuit-Forchheimer Model Versus Potential Solutions. European Water, V.57, 2017, pp.489-496.
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A.R.Kacimov, A.Al-Maktoumi, Yu.V.Obnosov. Phreatic/Confined Flows in Polygons: Dupuit-Forchheimer Model Versus Potential Solutions// Proceedings of the 10th World Congress of EWRA 'Panta Rhei'; 5-9 July 2017, Athens, Greece, pp.1987-1994.
EWRA2017report.pdf
2016
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Kacimov A.R., Obnosov Yu.V. Size and Shape of Steady Seawater Intrusion, Sharp-Interface Wedge: the Polubarinova-Kochina Analytical Solution to the Dam Problem Revisited // J. Hydrologic Engineering. - 2016. - V.21(8). - URL: http://dx.doi.org/10.1061/(ASCE)HE.1943-5584.0001385.
Proofs___HEENG_2937_p1.pdf -
A.R.Kacimov, Yu.V.Obnosov. Tension-Saturated and Unsaturated Flows from Line Sources in Subsurface Irrigation: Riesenkampf's and Philip's Solutions Revisited // Water Resources Research. - 2016. - V.52(3). - P. 1866-1880.
Kacimov_Obnosov2016WRR.pdf -
Kacimov, A.R. Modelign of seepage through embankments of earth-filled recharge dams in Oman: steady and transient regimes / A.R. Kacimov, А. Al-Maktoumi, Yu.V. Obnosov // Abstracts of the International Conference on Water Resource in Arid areas: The Way Forward, Sultan Qaboos University, Oman March 13-16. - 2016. - Р.207.
KacMakObn_Oman2016.pdf - Kazarin Anatolii, Obnosov Yurii, An exact analytical solution of an R-linear conjugation problem for a n-phased concentric circular heterogeneous structure//APPLIED MATHEMATICAL MODELLING. - 2016. - Vol.40, Is.9-10. - P.5292-5300.
- А.Р, Зулькарняев, Ю.В.Обносов. К решению нелинейной смешанной краевой задачи Г.П.Черепанова. Международная конференция по алгебре, анализу и геометрии. 26.06.2016–2.07.2016, г. Казань: Казанский университет ; из-во Академии наук РТ, с.183-184
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R.Kasimova, I.R.Kayumov, Yu.Obnsov, A.Kacimov. New Explicit Analytical Solutions to Boundary-value Problem for Poisson?s Equations in Application to Groundwater Hydrology/Geomorphology// Absracts of SIAM Annual Meeting, 2 Boston, Massachusetts, July 11-15, 2016, p.17
Boston2016.pdf -
Kacimov, A.R. Control of Topology of Water Fluxes in Arid Agriculture: Amalgamation of Subsurface Irrigation, Managed Aquifer Recharge and Engineered Soil Substrate / A.R.Kacimov, A. Al-Maktoumi, S. Al-Ismaily, Yu.V.Obnosov // Toward Sustainable Groundwater in Agriculture / An International Conference Linking Science and Policy. June 28-30. San Francisco, California. 2016. - Р.96-97.
SanFrancisco2016.pdf
2015
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Obnosov Yu.V., Kacimov A.R., Castro-Orgaz O. An Exact Analytical Solution for Steady Phreatic Flow Disappearing/Re-emerging Towards/From a Bedrock/Caprock Isobaric Breach: the Polubarinova-Kochina-Numerov and Pavlovsky Problems Revisited // Transport in Porous Media (Springer) DOI 10.1007/s11242-015-0522-9
TiPM2015.pdf -
Kazarin A.Yu., Obnosov Yu.V. An R-linear conjugation problem for two concentric annuli // Lobachevskii Journal of Mathematics. - 2015. - V.36 (2). P. 215-224. DOI: 10.1134/S1995080215020201
LOJM215.pdf -
Kacimov A.R., Obnosov Yu.V. Exact Analytical Solution to Perched Aquifer Problem of Steady Seepage Devoured by a Low-Permeable Sublayer: Kirkham-Brock's Legacy Revisited // Water Resour. Res. - 2015. - V.51. P. 3093-3107. doi:10.1002/2014WR016304
WRR_15.pdf -
A. Kacimov, Y. Obnosov, O. Abdalla, O. Castro-Orgaz. Groundwater flow in hillslopes: Analytical solutions by the theory of holomorphic functions and hydraulic theory // Applied Mathematical Modelling. - 2015. - Vol. 39 (12). P. 3380-3397.
ViewPageProof_APM_10238.pdf - Kasimova R.G., Tishin D., Kacimov A., Obnosov Yu. Control of ant trajectories in geometrically impeded foraging. Abstracts of SIAM Conference on Control & Its Applications. Paris, France, July 8-10, p.129.
- Kacimov A. , Al-Maktoumi, A., Zlotnik, V., Obnosov Yu. Optimal control of managed aquifer recharge (MAR) from infiltration trenches with objective of minimal waterlogging: Revisiting the Polubarinova-Kochina and Pontryagin legacy. Abstracts of SIAM Conference on Control & Its Applications. Paris, France, July 8-10, p.80.
- Казарин А.Ю., Обносов Ю.В. Анaлитическое решение задачи R-линейного сопряжения для n-фазной концентрической круговой гетерогенной среды. Теория функций, ее приложения и смежные вопросы. Материалы Двенадцатой международной Казанской летней научной школы - конференции (Казань, 27 июня-4 июля 2015 года). Труды матем. центра им. Н.И. Лобачевского. 2015. - Т.51. - С.216-218.
- Kacimov A.R., Obnosov Yu. Hypergeometric functions and Chebyshev polynomials: Explicit solutions of 2-D free boundary problems in groundwater hydrology. Abstracts of 13-th International Symposium on Orthogonal Polynomials, Special Functions and Applications, June 1-5, 2015, National Institute of Standards and Technology, Gaithersburg, Maryland, USA, pp. 34-35
2014
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Kasimova R.G., Tishin D., Obnosov Yu.V., Dlussky G., Baksht F.B.,Kasimov A.R. Ant mound as an optimal shape in constructal design: solar irradiation and circadian brood/fungi-warming sorties //Journal of Theoretical Biology. (355) 2014. p. 21-32
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Kacimov A., Obnosov Yu. and Abdalla O. New analytical solutions for phreatic Darcian flows over non-planar bedrocks. In «Mathematics of Planet Earth. Proc. of the 15 th Annual Conference of the International Association for Mathematical Geosciences«. Ed. by E. Pardo-Iguzquiza, C. Guardiola-Albert, J. Heredia, L.Moreno-Murino, J.J.Duran and J.A.Vargas-Guzman. Lecture Notes in Earth System Sciences. Springer, Berlin, 2014, pp.411-414.
Article_pp.411_414.pdf - Kasimova R.G., Tishin D., Obnosov Yu.V., Kacimov A.R. Which Conical Ant Mound is Optimal in Collection of Solar Beams From Transient Sun? Abstracts of SIAM 2014 Annual Meeting, the Palmer House, Chicago, Illinois, USA, July 11-14, 2014, p.134.
- Anvar Kacimov,Yurii Obnosov, Dani Or. Juxtaposition of Evaporation, Gravity and Darcian Resistance in a Silt Block Adjacent to a Coarse Sand Compartment: Analytical Solutions Through Theory of Holomorphic Functions. Abstracts of SIAM 2014 Annual Meeting, the Palmer House, Chicago, Illinois, USA, July 11-14, 2014, p.30.
- Комплексные проблемы механики неоднородных сред: математические модели, методы и алгоритмы решения (Бюджет14-46)
2013
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Obnosov Yu.V. An R-linear conjugation problem for a plane two-component heterogeneous
structure with an array of periodically distributed sinks/sources. Applied Mathematical Modelling.2013, 37(5), 2830-2837,DOI: 10.1016/j.apm.2012.06.028
AMM_2012_Obn_.pdf -
Kacimov, A. and Obnosov, U., 2013. Pseudo-hysteretic double-front hiatus-stage soil water parcels supplying a plant-root continuum: the Green-Ampt-Youngs model revisited.Hydrological Sciences Journal, 58 (1), 237-248. DOI:10.1080/02626667.2012.743028
HSJ,2012.pdf - Kasimova R.G., Tishin D., Obnosov Yu.V, Kacimov A.R. Commonality and Difference in Intercepting of Solar Radiation by Flat Panels and 3-D Anthills: Lessons for Engineers// ICHT 2013 Third International conference on Harnessing Technology 2-3 december, Oman, 2013 p.36
- Kasimova R.G., Obnosov Yu.V, Baksht F.B., Kacimov A.R. Dynamics of insects as a factor in shape-size optimization of anthill. In Abstract Collection of International Conference MPDE'13 Models in Population Dynamics and Ecology, University of Osnabrück, Germany, 26-29 August 2013, p.44
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Kasimova R.G., Obnosov Yu.V., Baksht F.B., Kacimov A.R. Optimal shape of an anthill dome: Bejan's principle revisited. Ecological Modelling (Elsevier),250(2013),384-390:dx.doi.org/10.1016/j.ecolmodel.2012.11.021
EcMod,2013.pdf - Аналитические решения обобщенных краевых задач Римана и их приложения в теории гетерогенных сред (РФФИ-604)
2012
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Kacimov A.R., Obnosov Yu.V Analytical solutions for seepage near material boundaries in dam cores: the Davison-Kalinin problems revisited. Appl. Math. Modelling (2012), v.36(3), 1286-1301, DOI: 10.1016/j.apm.2011.07.088
AMM,36,2012.pdf -
Obnosov Yu.V., Fadeev A.V. A generalized Miln-Thomson theorem for the case of elliptical inclusion. Euro Jnl of Applied Mathematics:23 (4) , pp. 469-484 Doi:10.1017/S0956792512000058
EJAM,2012.pdf -
Kasimova R.G., Obnosov Yu.V. Topology of Heat Conduction in a Solid Slab Subject to a Non-uniform Boundary Condition: the Carslaw-Jaeger Solution Revisited. Australian and New Zealand Industrial and Applied Mathematics Journal (ANZIAM J), 53(04), 2012, 308 320. DOI: 10.1017/S1446181112000260
ANZIAM.J2013.pdf -
Obnosov Yu.V., Kacimov A.R. Fluid Dynamics of Nonaqueous Phase Contaminants in Groundwater: Analytical Solutions and Analogy with Zhukovsky"s Trochoid.. Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2012, WCE 2012, 4-6 July, 2012, London, U.K., v.1, pp.44-47
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Kasimova R.G., Obnosov Yu.V. Injection-Abstraction Well Pair in a Porous Formation with an Eccentric Skin Effect of a Gravel Pack and Damaged Zone. Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2012, WCE 2012, 4-6 July, 2012, London, U.K., v.1, pp.144-146.
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Kacimov A.R., Obnosov Yu.V. Accumulation of a light nonaqueous phase liquid on a flat barrier baffling a descending groundwater flow. Proc. Royal Society London, A, 2012,468(2147), pp.3667-3684, DOI:10.1098/rspa.2012.0317
PRLS,2012.pdf
2011
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Obnosov Yu.V., Kasimova R. G., Kacimov A.R.A well in a «target« stratum of a two-layered formation: the Muscat-Riesenkampf solution revisited. Transport in Porous Media. 2011, v.87, 437-457; DOI: 10.1007/s11242-010-9693-6
TPM2011.pdf -
Kacimov, A., Y. Obnosov, A. Al-Maktoumi, and M. Al-Balushi (2011), How much floating light nonaqueous phase liquid can a phreatic surface sustain" Riesenkampf's scheme revisited, Water Resour. Res., 47, W11521, doi:10.1029/2010WR010369
WRR2011.pdf -
Obnosov Yu.V. Three-phase eccentric annulus subjected to a potential field induced by arbitrary singularities. Quart. Appl. Math. 69 (2011), pp. 771-786. s0033-569x(2011)01242-8
QAM2011.pdf - Kasimova R.G., Obnosov Yu.V. Heat conduction in a solid substrate with a spatially-variable solar radiation input: Carslaw-Jaeger solution revisited. Proceedings of the 2011 Intern. Conference on Scientific Computing. July 18-21, 2011, Las Vegas Nevada, USA, CSREA Press, p.30-35.
2010
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A.R. Kacimov, A. Hildebrant, Y.V. Obnosov. Impact of the Dhofar cloud forest on subsurface hydrological fluxes: modelling on the scale of a near-root zone soil continuum. Вестник МарГТУ, сер. Лес.Экология. Природопользование. 2010, 2(9), 21-29.
ЛЭП2010.pdf -
Obnosov Yu.V., Kasimova R. G., Al-Maktoumi, A., Kacimov A.R.Can heterogeneity of the near-wellbore rock cause extrema of the Darcian fluid inflow rate from the formation" Computers & Geosciences, Elsevier. 2010, v.36, p.1252-1260; doi:10.1016/j.cageo.2010.01.014.
C&G2010.pdf
2009
2008
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Kacimov A.R., Obnosov Yu.V. Analytical solution to 2-D problem for an anticline-diverted brine flow with a floating hydrocarbon trap. Transport in Porous Media. 2008, 71, 39-52
DOI 10.1007/s 11242-007-9110-y.
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Obnosov Yu.V., Nikonenkova T.V. Solution of an R-linear conjugation problem on the case of hyperbolic interface. Lithuanian Mathematical Journal. 2008, 48 (3), 322-331.
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Kacimov A.R., Obnosov Yu.V. Leaky-layer seepage: the Verigin function revisited. Journal Engineering Mathematics. V.62(4) 2008, p. 345-354
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Mityushev V.V., Pesetskaya E.V., Obnosov Yu.V., Rogosin S.V. Complex analytic methods for heat conduction in composites. Mathematical Modelling and Analysis. 2008, v.13, №1, p.67-78.
2007
2006
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Kacimov A.R., Obnosov Yu.V., Sherif M.M., Perret, J.S. Analytical Solution to a Sea Water Intrusion Problem with a Fresh Water Zone Tapering to a Triple Point // J. Eng. Math.. - 2006, v.54, №3, p. 197-210.
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Craster R.V., Obnosov Yu.V. A model four-phase square checkerboard structure // QJMAM (Quarterly Journal of Mechanics and Applied Mathematics). - 2006 . - T.59. - P.1-27.
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Obnosov Yu.V. A Generalized Milne-Thomson theorem //Applied Mathematics Letters. - 2006. T.19. P.581-586.
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Kacimov A.R., Obnosov Yu.V. Strip-focused phreatic surface flow driven by evaporation: analytical solution by the Riesenkampf function // Advances in Water Resources (Elsevier). -2006. T.29. P.1565-1571.
2005
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Kacimov A.R., Obnosov Yu.V. Polubarinova-Kochina Methods for Steady and Transient Systems Governed by the Laplace and Charny Equations. Journal of Mathematical Sciences. 2005, v.129, №1, 3596 - 3602.
- Obnosov Yu.V., Craster R.V. Some regular composite structures: exact solutions and effective parameters. Conferences abstracts. 5th ISAAC Congress,July 25--30, 2005. University of Catania, Italy, p.160
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Каюмов И.Р., Обносов Ю.В. Оценки интегральных средних гиперболически выпуклых функций // Сибирский математический журнал. - 2005. - Т. 46, N 6. - С. 1316 - 1323
2004
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Youngs E.G, Kacimov A.R, Obnosov Y.V., Water exclusion from tunnel cavities in the saturated capillary fringe//Advances in Water Resources. - 2004. - Vol.27, Is.3. - P.237-243.
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Craster R.V., Obnosov Yu.V. A three-phase tessellation: solution and effective properties. Proc. Royal Society London, A, 2004, 460, 1017-1037. DOI: 10.1098/rspa.2003.1196.
PRLS2004.pdf - Obnosov Yu.V. Solution of a R-linear conjugation problem on the case of hyperbolic interface. Russian Mathematics. 2004, No 7, 53-62.
- Obnosov Yu.V. Effective characteristics of some periodical multiphase heterogeneous structures. Proc. of the Lobachevskij Math. Centre, “Algebra and Analysis -2004”, Kazan, 2004, v.23, 37-38
- Kacimov A.R., Obnosov Yu.V., Perret J. Phreatic surface flow from a near-reservoir saturated tongue. J. Hydrology (Elsevier), 2004, 296, 271-281. doi:10.1016/j.hydrol.2004.04.015
- Obnosov Yu.V., Kacimov A.R. Design of ultimately stable slopes of earthworks. Abstracts of the International Conference “Advanced Problems in Mechanics”. Institute of Applied Mechanics, Sanct-Petersburg, 2004, p.81
2003
2002
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Kacimov A.R, Obnosov Yu.V., Analytical determination of seeping soil slopes of a constant exit gradient//ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik. - 2002. - Vol.82, Is.6. - P.363-376.
- Kacimov A.R., Obnosov Yu.V. Advective and random walk transport in porous tessellations. Proceedings of the First Workshop on Mathematical Modelling of Environmental Problems, June 17-21, Bucharest, Romania, 2002. Ed. G.Marinoschi and S.Ion. Editura Academiee Romane, Bucuresti, 2002, 31-40
- Kacimov A.R., Obnosov Yu.V. The methods of Polubarinova- Kochina in steady and transient systems governed by the Laplace and Charny equations. In Abstracts of International Conf. on Differential Equations and Dynamic Systems. Vladimir University, 2002, p.173-175
- Kacimov A.R., Obnosov Yu.V. Advective and random walk transport in porous tessellations. Abstracts of the First Workshop on Mathematical Modelling of Environmental Problems. Bucharest, Romania, 17-21 June, 2002, 31-40
2001
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Kacimov A.R, Obnosov Yu.V., Analytical solutions by the hodograph method to hydrodynamic problems for oil and gas traps//Journal of Hydrology. - 2001. - Vol.254, Is.1-4. - P.33-46.
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Kacimov A.R, Obnosov Yu.V., Semipermeable boundaries and heterogeneities: Modeling by singularities//Journal of Hydrologic Engineering. - 2001. - Vol.6, Is.3. - P.217-224.
- Kacimov A.R., Obnosov Yu.V. Slumping, superpropagation, rotation, fingering and upconing in two-phase abrupt interface flows: from nonlinear ODE to mixed boundary value problems. In Abstracts of The Fifth Kazan Summer School on the Theory of Functions, Its Applications, and Related Topics, Kazan, June 29-July 3, 2001. Kazan, DAS Press, 2001, 247-248
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Craster R.V., Obnosov Yu.V. Four phase periodic composites. SIAM J. Appl. Math., 2001, 61, No 6, 1839-1856. DOI: 10.1137/S0036139900371825.
SIAM2001.pdf -
Kacimov A.R., Obnosov Yu.V. Analytical solution for a sharp interface problem in sea water intrusion into a coastal aquifer. Proceedings Royal Society London A, 2001, 457, 2016, 3023-3038. DOI: 10.1098/rspa.2001.0857.
PRLS2001.pdf -
Craster R.V., Obnosov Yu.V. Checkerboard composites with separated phases. Journal of Mathematical Physics, 2001, 42, No 11, 5379-5388. DOI: 10.1063/1.1398336
JMPh2001.pdf
2000
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Kacimov A.R, Obnosov Yu.V., Conduction through a grooved surface and Sierpinsky fractals//International Journal of Heat and Mass Transfer. - 2000. - Vol.43, Is.4. - P.623-628.
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Kacimov A.R, Obnosov Y.V., Steady water flow around parabolic cavities and through parabolic inclusions in unsaturated and saturated soils//Journal of Hydrology. - 2000. - Vol.238, Is.1-2. - P.65-77.
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Kacimov A.R., Obnosov Yu.V. Two-dimensional seepage in porous media with heterogeneities. Journal of Geochemical Exploration, 2000, 69-70, 251-255. DOI: 10.1016/S0375-6742(00)00131-X
- Kacimov A.R., Obnosov Yu.V. Convection and conduction in media with inclusions (analytic solutions). Proc. of the 4-th Minsk International Heat and Mass Transfer Forum, 22-26 May, 2000, Belorussia, Lykov Institute of Heat and Mass Transfer, NAS, Minsk, 2000, v.3, 352-354.
- Kacimov A.R., Obnosov Yu.V. Convection and conduction in media with inclusions (analytic solutions). Proc. of the 4-th Minsk International Heat and Mass Transfer Forum, 22-26 May, 2000, Belorussia, Lykov Institute of Heat and Mass Transfer, NAS, Minsk, 2000, v.3, 352-354.
- Kacimov A.R., Obnosov Yu.V. Analytic elements involving the Robin and refraction boundary conditions. Proc. of the 3-rd Intrntnl. Conf. “The Analytic Element Method in Modeling Groundwater Flow”, Brainred, MN, USA, 16-19 April, 2000, v.1. P.1-7
1999
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Obnosov Y.V., Periodic heterogeneous structures: New explicit solutions and effective characteristics of refraction of an imposed field//SIAM Journal on Applied Mathematics. - 1999. - Vol.59, Is.4. - P.1267-1287.
- Obnosov Yu.V. Solutions of R-linear boundary problem for a two-phase circular inclusion. Proc. of International Conf, Dedicated to P.Y.Polubarinova-Kochina. «Modern Approaches to Flows in Porous Media«. Moscow, RAN, IPM, RFBR.1999, II, P.2
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Kacimov A.R., Obnosov Yu.V., Yakimov N.D. Ground water flow in a medium with a parquet-type conductivity distribution. Journal Hydrology, 1999, 226, 242-249. DOI: 10.1016/S0022-1694(99)00151-1.
1998
1997
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Kacimov A.R, Obnosov Yu.V., Analytic Solution to a Problem of Seepage in a Chequer-Board Porous Massif//Transport in Porous Media. - 1997. - Vol.28, Is.1. - P.109-124.
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Kacimov A.R, Obnosov Yu.V., Explicit, rigorous solutions to two-dimensional heat transfer: Two-component media and optimization of cooling fins//International Journal of Heat and Mass Transfer. - 1997. - Vol.40, Is.5. - P.1191-1196.
- Kasimov A.R., Obnosov Yu.V. Exact values of efficiency for Muskat well arrays. Physics Doklady, 1997, 42, No 3, 155-157
- Kacimov A.R., Obnosov Yu.V. Steady temperature fields in 2-D parquet-type media. In Abstr. Int. Symposium «Advances in Computational Heat Transfer«, Cesme, Turkey, 26-30.05.97, Int. Centre for Heat and Mass Transfer, 326-327
- Kacimov A.R., Obnosov Yu. V., Yakimov N.D. Explicit analytic solutions to problems in ground water flow. In Proc. Conf. «Analytic-based Modeling of Groundwater Flow«., Netherlands Inst. of Applied Geoscience, TNO, 1997, v.2, 459-467
- Kacimov A.R., Obnosov Yu.V. Regional ground water flows: recharge, gravity, inhomogeneties, and interaction with reservoirs. In Int. Conf. «Regionalization in Hydrology«, FRG, Braunschweig, 10-14.03.97, Ed. B.Diekkruger and O.Richter, 117-120.
- Kacimov A.R., Obnosov Yu. V., Yakimov N.D. Ground water flow and advective contaminant transport: shaping, piping, and heterogeneity. In Saint-Venant Symposium «Multiple Scale Analyses and Coupled Physical Systems« Proceedings, Presses de lecole nationale des ponts et chaussees, Paris, 1997, P.113-118.
1996
| Work address: | 35 Kremlevskaya Str., Kazan, Building №14 (unit # 2) |
| Office number: | 707 |
| Phone: | (843) 233-73-60, 73-60 |
| Fax: | (007) 8432 382 209 |
| E-mail: | yobnosov@kpfu.ru |
| Google scholar: | https://scholar.google.ru/citations?user=3FJmSw4AAAAJ&hl=ru |
| Experience: |
| Scientific and pedagogical experience: |
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