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1
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Antontsev S.N.
, Kuznetsov I.V.
, Prokudin D.A.
, Sazhenkov S.A.
The impulsive Kelvin--Voigt equations for two-component mixtures of viscoelastic fluids
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2025.
V.22. N1. P.563-586. DOI: 10.33048/semi.2025.22.038
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2
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Mamontov A.
, Prokudin D.
Steady Solutions to Equations of Viscous Compressible Multifluids
Axioms. 2024.
V.13. N6. 362
:1-24. DOI: 10.3390/axioms13060362
WOS
РИНЦ
OpenAlex
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3
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Mamontov A.E.
, Prokudin D.A.
Asymptotic behavior of the solution to the Initial-boundary value problem for one-dimensional motions of a barotropic compressible viscous multifluid
Lobachevskii Journal of Mathematics. 2024.
V.45. N4. P.1463-1471. DOI: 10.1134/s1995080224601218
WOS
Scopus
OpenAlex
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4
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Prokudin D.
On the Stabilization of the Solution to the Initial Boundary Value Problem for One-Dimensional Isothermal Equations of Viscous Compressible Multicomponent Media Dynamics
Mathematics. 2023.
V.11. N14. 3065
:1-11. DOI: 10.3390/math11143065
WOS
Scopus
РИНЦ
OpenAlex
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5
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Mamontov A.E.
, Prokudin D.A.
Existence of Solutions of the Boundary Value Problem for the Equations of Barotropic Flows of a Multicomponent Medium. I. Statement of the Main Problem. Solvability of an Auxiliary Problem
Journal of Applied and Industrial Mathematics. 2023.
V.17. N4. P.802-814. DOI: 10.1134/s1990478923040105
Scopus
РИНЦ
OpenAlex
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6
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Mamontov A.E.
, Prokudin D.A.
Global unique solvability of an initial-boundary value problem for the one-dimensional barotropic equations of binary mixtures of viscous compressible fluids
Journal of Applied and Industrial Mathematics. 2021.
V.15. N1. P.50-61. DOI: 10.1134/S1990478921010051
Scopus
РИНЦ
OpenAlex
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7
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Mamontov A.E.
, Prokudin D.A.
Global Unique Solvability of an Initial-Boundary Value Problem for the One-Dimensional Barotropic Equations of Binary Mixtures of Viscous Compressible Fluids
Journal of Applied and Industrial Mathematics. 2021.
V.15. N1. P.50-61.
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8
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Mamontov A.E.
, Prokudin D.A.
Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids
Izvestiya Mathematics. 2021.
V.85. N4. P.755-812. DOI: 10.1070/im9019
WOS
Scopus
РИНЦ
OpenAlex
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9
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Mamontov A.E.
, Prokudin D.A.
Galerkin approximations in the problem of one-dimensional unsteady motion of a viscous compressible two-component fluid
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020.
V.17. P.406-415. DOI: 10.33048/semi.2020.17.026
WOS
Scopus
РИНЦ
OpenAlex
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10
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Mamontov A.
, Prokudin D.
One-dimensional hemodynamics in vessels with elastic walls, multicomponent approach
Journal of Physics: Conference Series. 2020.
V.1666. N1. 012031
:1-5. DOI: 10.1088/1742-6596/1666/1/012031
Scopus
РИНЦ
OpenAlex
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11
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Mamontov A.E.
, Prokudin D.A.
Global unique solvability of the initial-boundary value problem for one-dimensional barotropic equations of viscous compressible bifluids
Journal of Physics: Conference Series. 2020.
V.1666. N1. P.012032. DOI: 10.1088/1742-6596/1666/1/012032
Scopus
РИНЦ
OpenAlex
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12
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Mamontov A.E.
, Prokudin D.A.
On the global unique solvability of a problem for one-dimensional equations of dynamics of mixtures of viscous compressible heat-conducting fluids
Journal of Physics: Conference Series. 2020.
V.1666. N1. P.012033. DOI: 10.1088/1742-6596/1666/1/012033
Scopus
РИНЦ
OpenAlex
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13
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Mamontov A.E.
, Prokudin D.A.
Global Unique Solvability of the Initial-Boundary Value Problem for the Equations of One-Dimensional Polytropic Flows of Viscous Compressible Multifluids
Journal of Mathematical Fluid Mechanics. 2019.
V.21. N1. 9 (2019)
. DOI: 10.1007/s00021-019-0416-7
WOS
Scopus
РИНЦ
OpenAlex
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14
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Mamontov A.E.
, Prokudin D.A.
Solvability of a problem for the equations of dynamics of one-temperature mixtures of heat-conducting viscous compressible fluids
Doklady Akademii Nauk. 2019.
V.99. N3. P.273-276. DOI: 10.1134/S1064562419030074
Scopus
РИНЦ
OpenAlex
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15
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Mamontov A.
, Prokudin D.
Global solvability of the initial-boundary value problem for Navier–Stokes–Fourier type equations describing flows of viscous compressible heat-conducting multifluids
Journal of Physics: Conference Series. 2019.
V.1268. N1. P.012061. DOI: 10.1088/1742-6596/1268/1/012061
Scopus
РИНЦ
OpenAlex
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16
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Мамонтов А.Е.
, Прокудин Д.А.
Разрешимость нестационарных уравнений многокомпонентных вязких сжимаемых жидкостей
Известия РАН, серия математическая. 2018.
V.82. N1. P.151-197. DOI: 10.4213/im8507
РИНЦ
OpenAlex
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17
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Mamontov A.E.
, Prokudin D.A.
Unique solvability of initial-boundary value problem for one-dimensional equations of polytropic flows of multicomponent viscous compressible fluids
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2018.
V.15. P.631–649. DOI: 10.17377/semi.2018.15.050
WOS
Scopus
РИНЦ
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18
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Mamontov A.E.
, Prokudin D.A.
VISCOUS COMPRESSIBLE HOMOGENEOUS MULTI-FLUIDS WITH MULTIPLE VELOCITIES: BAROTROPIC EXISTENCE THEORY
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2017.
V.14. P.388-397. DOI: 10.17377/semi.2017.14.031
WOS
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