Панкратов Леонид Сергеевич
доцент
ст. научный сотрудник
доктор физ.-мат. наук
Мат. анализ 1, 2 курсы, включая англоязычных студентов
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Задачи многофазной фильтрации в пористых средах
1. Pankratov L., Konyukhov A., Voloshin A., Non-equilibrium two-phase flow in porous media: Homogenization and numerical simulation, Lambert Academic Publishing, Saarbrűcken, 2016, 72p.
2. Konyukhov A., Pankratov L., Voloshin A., Homogenized non-equilibrium models of two-phase flow in fractured porous media, Физматкнига, Москва, 2017, 188p .
3. Pankratov L., Homogenization in variable Sobolev spaces, Физматкнига, Москва, 2018, 194p.
1) Jurak M., Pankratov L., Vrbaški A., A fully homogenized model for incompressible two-phase flow in double porosity media, Applicable Analysis, 95 (2016), 2280-2299.
2) Konyukhov A., Pankratov L., Upscaling of an immiscible non-equilibrium two-phase fow in double porosity media, Applicable Analysis, 95 (2016), 2300-2322.
3) Amaziane B., Pankratov L., Two-scale convergence of a model for water-gas flow through double porosity media, Mathematical Methods in the Applied Sciences, 39 (2016), 425-451
4) Amaziane B., Pankratov L., Two-scale homogenization of compressible two-phase two-component flow in porous media, Non-linear Analysis : Real World Applications, 30 (2016), 213-235.
5) Ait Mahiout L., Amaziane B., Mokrane A., Pankratov L., Homogenization of immiscible compressible two-phase flow in double porosity media, Electronic Journal of Differential Equations, 2016:52 (2016), 1-28.
6) Konyukhov A., Pankratov L., New non-equilibrium matrix imbibition equation for double porosity model, Comptes Rendus Mécanique, 344:7 (2016), 510-520.
7) Волошин А. С., Мазепов В. А., Панкратов Л. С., Скалько Ю.И., Усреднение и численное моделирование однофазного течения слабосжимаемой жидкости в трещиновато-пористых коллекторах, ТРУДЫ МФТИ, 8:1 (2016) , 153-162.
8) Amaziane B., Panfilov M., Pankratov L., Homogenized model of two-phase ow with local non-equilibrium in double porosity media, Advances in Mathematical Physics, 2016, ID 3058710, 1-13.
9) Amaziane B., JurakM., Pankratov L., Piatnitski A., An existence result for non-isothermal immiscible incompressible two-phase flow in porous media, Mathematical Methods in the Applied Sciences, 40:18 (2017), 7510–7539.
10) Pankratov L., Konyukhov A., Voloshin A., General non-equilibrium matrix imbibition equation for Kondaurov's double porosity model, In : Proceedings of BIOT-2017, Poromechanics VI, 2017, pp.531-538.
11) Amaziane B., Pankratov L., Piatnitski A., An improved homogenization result for immiscible compressible two-phase flow in porous media, Networks and Heterogeneous Media, 12 :1 (2017), 147-171.
12) Amaziane B., Jurak M., Pankratov L., Vrbaški A, Some remarks on the homogenization of immiscible incompressible two-phase flow in double porosity media, DCDS-B, 23:2 (2018), 629-665 .
13) Chechkin G., Chepyzhov V., Pankratov L., Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms, Special issue of DCDS-B (Dedicated to the memory of I.Chueshov), 23:3 (2018), 1133-1154.
14) Amaziane B., Jurak M., Pankratov L., Piatnitski A., Homogenization of nonisothermal immiscible incompressible flow in porous media, Nonlinear Analysis : Real World Applications, 43 (2018), 192-212.
15) Konyukhov A., Pankratov L., Voloshin A., The homogenized Kondaurov type non-equilibrium model of two-phase flow in multiscale non-homogeneous media, Physica Scripta, 94 (2019), 054002, 1-15.
16) Voloshin A., Pankratov L., A. Konyukhov A., Homogenization of Kondaurov's non-equilibri-um two-phase flow in double porosity media, Applicable Analysis, 98:8, 1429-1450, 2019.
17) Koldoba A., Konyukhov A., Pankratov L., Upscaling of two-phase flow with chemical reactions in double porosity media, Recueil des Actes, 24 Congres Francais de Mecanique, 26 au 30 aout 2019, Brest, 2455-2474.
18) Mladen J., Koldoba A., Konyukhov A., Pankratov L., Nonisothermal immiscible compressible thermodynamically consistent two-phase flow in porous media, CRAS Mecanique, 347, 920-929, 2019.
19) Amaziane B., Pankratov L., Homogenization of coupled immiscible compressible two-phase flow with kinetics in porous media, Applicable Analysis, 2020, https://doi.org/10.1080/00036811.2020.1738398.
20) Konyukhov A., Pankratov L., Voloshin A., Appearance of the instability from the inhomogeneity in two-phase flow with gas-producing reaction in fractured porous medium, Physics of Fluids, 33, 016604-1 - 016604-12, 2021.
Асимптотическое поведение решений вариационных задач в областях со сложной границей, 1991.
Усреднение нелинейных задач математической физики, 2014.
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