All Stories

  1. MIXED BOUNDARY VALUE PROBLEM IN MICROFLUIDICS: THE AVER’YANOV–BLUNT MODEL REVISITED

    Article • The ANZIAM Journal, January 2025, Cambridge University Press

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  2. Clogging of toe drain drastically affects phreatic seepage in earth dams

    Article • Advances in Water Resources, August 2024, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  3. Analytical and HYDRUS solutions for exfiltration through inclined seepage faces

    Article • Advances in Water Resources, September 2023, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  4. Is the Thermal Diffusivity of Unsaturated Soils a Mono-Maximum Function of their Moisture Content?

    Article • Journal of Engineering Physics and Thermophysics, September 2023, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  5. Phreatic seepage around a rectilinear cutoff wall: The Zhukovsky-Vedernikov-Polubarinova-Kochina dispute revisited

    Article • Advances in Water Resources, March 2023, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  6. Analytical Evaluation of the Effective Electric Resistivity and Hall Coefficient in the Rectangular and Triangular Checkerboard Composites

    Article • Lobachevskii Journal of Mathematics, October 2022, Pleiades Publishing Ltd

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  7. Profiling ponded soil surface in saturated seepage into drain-line sink: Kalashnikov’s method of lateral leaching revisited

    Article • European Journal of Applied Mathematics, July 2022, Cambridge University Press

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  8. Seepage to staggered tunnels and subterranean cavities: Analytical and HYDRUS modeling

    Article • Advances in Water Resources, June 2022, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  9. Drawdown of urban drain trenches triggering 2-D transient seepage in soil massifs subject to managed aquifer discharge: sandbox experiments, analytical and HYDRUS2D modeling

    Article • Urban Water Journal, January 2022, Taylor & Francis

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  10. Seepage-evaporation controlled depletion of initially water-filled reservoirs on Earth and Mars: Analytic versus HYDRUS modeling

    Article • Icarus, January 2022, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  11. Water table rise in arid urban area soils due to evaporation impedance and its mitigation by intelligently designed capillary chimney siphons

    Article • Environmental Earth Sciences, August 2021, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov, Prof. Osman Abdalla

  12. Infiltration-induced phreatic surface flow to periodic drains: Vedernikov–Engelund–Vasil’ev’s legacy revisited

    Article • Applied Mathematical Modelling, March 2021, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  13. Seepage to ditches and topographic depressions in saturated and unsaturated soils

    Article • Advances in Water Resources, November 2020, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  14. Modelling of 2-D seepage from aquifer towards stream via clogged bed: The toth-trefftz legacy conjugated

    Article • Advances in Water Resources, September 2019, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  15. Seepage through earth dam with clay core and toe drain: the Casagrande–Numerov analytical legacy revisited

    Article • ISH Journal of Hydraulic Engineering, July 2019, Taylor & Francis

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  16. Analytic solutions for fresh groundwater lenses floating on saline water under desert dunes: The Kunin-Van Der Veer legacy revisited

    Article • Journal of Hydrology, July 2019, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  17. Regular hexagonal three-phase checkerboard

    Article • Journal of Mathematical Analysis and Applications, June 2019, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  18. Evaporation-Induced Capillary Siphoning Through Hydraulically Connected Porous Domains: The Vedernikov–Bouwer Model Revisited

    Article • Transport in Porous Media, April 2019, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  19. Minimizing Evaporation by Optimal Layering of Topsoil: Revisiting Ovsinsky's Smart Mulching‐Tillage Technology via Gardner‐Warrick's Unsaturated Analytical Model and HYDRUS

    Article • Water Resources Research, March 2019, American Geophysical Union (AGU)

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  20. Hydraulically optimal porous liner around a porous lens: Strack’s problem revisited

    Article • ISH Journal of Hydraulic Engineering, September 2018, Taylor & Francis

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  21. 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

    Article • Hydrogeology Journal, September 2018, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  22. Nonlinear mixed Cherepanov boundary-value problem

    Article • Complex Variables and Elliptic Equations, July 2018, Taylor & Francis

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  23. Dipolic Flows Relevant to Aquifer Storage and Recovery: Strack’s Sink Solution Revisited

    Article • Transport in Porous Media, March 2018, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  24. Steady Darcian Flow in Subsurface Irrigation of Topsoil Impeded by a Substratum: Kornev-Riesenkampf-Philip Legacies Revisited

    Article • Irrigation and Drainage, February 2018, Wiley

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  25. Analytical Solution for Interface Flow to a Sink With an Upconed Saline Water Lens: Strack's Regimes Revisited

    Article • Water Resources Research, January 2018, American Geophysical Union (AGU)

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  26. Steady Flow from an Array of Subsurface Emitters: Kornev’s Irrigation Technology and Kidder’s Free Boundary Problems Revisited

    Article • Transport in Porous Media, December 2017, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  27. Analytical solution for tension-saturated and unsaturated flow from wicking porous pipes in subsurface irrigation: The Kornev-Philip legacies revisited

    Article • Water Resources Research, March 2017, American Geophysical Union (AGU)

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  28. Size and Shape of Steady Seawater Intrusion and Sharp-Interface Wedge: The Polubarinova-Kochina Analytical Solution to the Dam Problem Revisited

    Article • Journal of Hydrologic Engineering, August 2016, American Society of Civil Engineers (ASCE)

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  29. An exact analytical solution of an R-linear conjugation problem for a n -phased concentric circular heterogeneous structure

    Article • Applied Mathematical Modelling, May 2016, Elsevier

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  30. Tension-saturated and unsaturated flows from line sources in subsurface irrigation: Riesenkampf's and Philip's solutions revisited

    Article • Water Resources Research, March 2016, American Geophysical Union (AGU)

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  31. Analytical Solutions for Steady Phreatic Flow Appearing/Re-emerging Toward/from a Bedrock/Caprock Isobaric Breach: The Polubarinova-Kochina–Numerov and Pavlovsky Problems Revisited

    Article • Transport in Porous Media, June 2015, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  32. Groundwater flow in hillslopes: Analytical solutions by the theory of holomorphic functions and hydraulic theory

    Article • Applied Mathematical Modelling, June 2015, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov, Prof. Osman Abdalla

  33. An exact analytical solution for steady seepage from a perched Aquifer to a low-permeable sublayer: Kirkham-Brock's legacy revisited

    Article • Water Resources Research, May 2015, American Geophysical Union (AGU)

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  34. An ℝ-linear conjugation problem for two concentric annuli

    Article • Lobachevskii Journal of Mathematics, April 2015, Pleiades Publishing Ltd

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  35. Ant mound as an optimal shape in constructal design: Solar irradiation and circadian brood/fungi-warming sorties

    Article • Journal of Theoretical Biology, August 2014, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  36. New Analytical Solutions for Phreatic Darcian Flows Over Non-Planar Bedrocks

    Article • October 2013, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov, Prof. Osman Abdalla

  37. An R-linear conjugation problem for a plane two-component heterogeneous structure w...

    Article • Applied Mathematical Modelling, March 2013, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  38. Optimal shape of an anthill dome: Bejan's constructal law revisited

    Article • Ecological Modelling, February 2013, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  39. Pseudo-hysteretic double-front hiatus-stage soil water parcels supplying a plant–root continuum: the Green-Ampt-Youngs model revisited

    Article • Hydrological Sciences Journal, January 2013, Taylor & Francis

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  40. Accumulation of a light non-aqueous phase liquid on a flat barrier baffling a descending groundwater flow

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, August 2012, Royal Society Publishing

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  41. TOPOLOGY OF STEADY HEAT CONDUCTION IN A SOLID SLAB SUBJECT TO A NONUNIFORM BOUNDARY CONDITION: THE CARSLAW–JAEGER SOLUTION REVISITED

    Article • The ANZIAM Journal, April 2012, Cambridge University Press

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  42. Analytical solutions for seepage near material boundaries in dam cores: The Davison–Kalinin problems revisited

    Article • Applied Mathematical Modelling, March 2012, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  43. A generalised Milne-Thomson theorem for the case of an elliptical inclusion

    Article • European Journal of Applied Mathematics, February 2012, Cambridge University Press

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  44. How much floating light nonaqueous phase liquid can a phreatic surface sustain? Riesenkampf's scheme revisited

    Article • Water Resources Research, November 2011, American Geophysical Union (AGU)

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  45. Three–phase eccentric annulus subjected to a potential field induced by arbitrary singularities

    Article • Quarterly of Applied Mathematics, January 2011, American Mathematical Society (AMS)

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  46. A Well in a ‘Target’ Stratum of a Two-Layered Formation: The Muskat–Riesenkampf Solution Revisited

    Article • Transport in Porous Media, December 2010, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  47. Can heterogeneity of the near-wellbore rock cause extrema of the Darcian fluid inflow rate from the formation (the Polubarinova-Kochina problem revisited)?

    Article • Computers & Geosciences, October 2010, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  48. A generalized Milne–Thomson theorem for the case of parabolic inclusion

    Article • Applied Mathematical Modelling, April 2009, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  49. Analytic solution of an ℝ-linear conjugation problem in the case of hyperbolic interface

    Article • Lithuanian Mathematical Journal, July 2008, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  50. Leaky-layer seepage: the Verigin function revisited

    Article • Journal of Engineering Mathematics, March 2008, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  51. Analytical methods for heat conduction in composites

    Article • Mathematical Modelling and Analysis, January 2008, Vilnius Gediminas Technical University

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  52. Analytical solution to 2D problem for an anticline-diverted brine flow with a floating hydrocarbon trap

    Article • Transport in Porous Media, March 2007, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  53. Strip-focused phreatic surface flow driven by evaporation: Analytical solution by the Riesenkampf function

    Article • Advances in Water Resources, October 2006, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  54. A generalized Milne-Thomson theorem

    Article • Applied Mathematics Letters, June 2006, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  55. Analytical Solution to a Sea-water Intrusion Problem with a Fresh Water Zone Tapering to a Triple Point

    Article • Journal of Engineering Mathematics, March 2006, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  56. A Model four-phase square checkerboard structure

    Article • The Quarterly Journal of Mechanics and Applied Mathematics, November 2005, Oxford University Press (OUP)

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  57. Estimates for Integral Means of Hyperbolically Convex Functions

    Article • Siberian Mathematical Journal, November 2005, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov

  58. Polubarinova-Kochina Methods for Steady and Transient Systems Governed by the Laplace and Charny Equations

    Article • Journal of Mathematical Sciences, August 2005, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  59. Phreatic surface flow from a near-reservoir saturated tongue

    Article • Journal of Hydrology, August 2004, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  60. A three-phase tessellation: solution and effective properties

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, April 2004, Royal Society Publishing

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  61. Water exclusion from tunnel cavities in the saturated capillary fringe

    Article • Advances in Water Resources, March 2004, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  62. Analytical solution for a sharp interface problem in sea water intrusion into a coastal aquifer

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, December 2001, Royal Society Publishing

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  63. Analytical solutions by the hodograph method to hydrodynamic problems for oil and gas traps

    Article • Journal of Hydrology, December 2001, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  64. Checkerboard composites with separated phases

    Article • Journal of Mathematical Physics, November 2001, American Institute of Physics

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  65. Semipermeable Boundaries and Heterogeneities: Modeling by Singularities

    Article • Journal of Hydrologic Engineering, June 2001, American Society of Civil Engineers (ASCE)

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  66. Four-Phase Checkerboard Composites

    Article • SIAM Journal on Applied Mathematics, January 2001, Society for Industrial & Applied Mathematics (SIAM)

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  67. Steady water flow around parabolic cavities and through parabolic inclusions in unsaturated and saturated soils

    Article • Journal of Hydrology, November 2000, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  68. Two-dimensional seepage in porous media with heterogeneities

    Article • Journal of Geochemical Exploration, June 2000, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  69. Conduction through a grooved surface and Sierpinsky fractals

    Article • International Journal of Heat and Mass Transfer, February 2000, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  70. Groundwater flow in a medium with a parquet-type conductivity distribution

    Article • Journal of Hydrology, December 1999, Elsevier

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  71. Periodic Heterogeneous Structures: New Explicit Solutions and Effective Characteristics of Refraction of an Imposed Field

    Article • SIAM Journal on Applied Mathematics, January 1999, Society for Industrial & Applied Mathematics (SIAM)

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  72. HEAT CONDUCTION IN TWO-DIMENSIONAL PARQUETS AND OPTIMIZATION OF SPINE SHAPE

    Article • January 1997, Begell House

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  73. Groundwater flow in a medium with periodic inclusions

    Article • Fluid Dynamics, September 1995, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  74. Electric forces on a circular cylindrical inclusion at the surface separating two dielectrics

    Article • Journal of Applied Mechanics and Technical Physics, January 1994, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov, Doctor of Science, habilitate Yurii Victorovich Obnosov

  75. An accurately solvable problem of the mutual effect of inclusions in the theory of heterogeneous media

    Article • Journal of Applied Mechanics and Technical Physics, January 1990, Springer Science + Business Media

    Doctor of Science, habilitate Yurii Victorovich Obnosov