All Stories

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. 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

  13. 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

  14. 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

  15. 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

  16. 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

  17. 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

  18. 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

  19. 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

  20. 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

  21. A generalized Milne-Thomson theorem

    Article • Applied Mathematics Letters, June 2006, Elsevier

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

  22. 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

  23. 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

  24. 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

  25. 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

  26. 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

  27. Analytical Determination of Seeping Soil Slopes of a Constant Exit Gradient

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, June 2002, Wiley

    Professor Yurii Victorovich Obnosov

  28. 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

  29. 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

  30. 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

  31. 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

  32. 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

  33. 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

  34. 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

  35. 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

  36. 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

  37. 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

  38. Seepage refraction in a semicircular lens located at the boundary of two porous massifs

    Article • Journal of Applied Mathematics and Mechanics, January 1998, Elsevier

    Professor Yurii Victorovich Obnosov

  39. Explicit, rigorous solutions to two-dimensional heat transfer: two-component media and optimization of cooling fins

    Article • International Journal of Heat and Mass Transfer, March 1997, Elsevier

    Professor Yurii Victorovich Obnosov

  40. 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

  41. Electric forces in a dielectric two-layer cylinder with nonconcentric arrangement of layers

    Article • Journal of Applied Mechanics and Technical Physics, January 1996, Springer Science + Business Media

    Professor Yurii Victorovich Obnosov

  42. 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

  43. 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