1
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Trakhinin Y.
Stabilizing effect of surface tension for the linearized MHD–Maxwell free interface problem
Journal of Differential Equations. 2025.
V.427. P.143-162. DOI: 10.1016/j.jde.2025.01.086
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2
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Трахинин Ю.Л.
О локальной корректности задач с характеристическими свободными границами для гиперболических систем законов сохранения
Успехи математических наук. 2024.
Т.79. №2(476). С.145-182. DOI: 10.4213/rm10150
РИНЦ
OpenAlex
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3
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Morando A.
, Secchi P.
, Trakhinin Y.
, Trebeschi P.
, Yuan D.
Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem
Archive for Rational Mechanics and Analysis. 2024.
V.248. N4. 56
:1-45. DOI: 10.1007/s00205-024-02001-y
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РИНЦ
OpenAlex
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4
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Trakhinin Y.L.
On local well-posedness of problems with characteristic free boundary for hyperbolic systems of conservation laws
Russian Mathematical Surveys. 2024.
V.79. N2. P.325-360. DOI: 10.4213/rm10150e
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РИНЦ
OpenAlex
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5
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Trakhinin Y.
On Well-posedness of the Two-dimensional MHD–Maxwell Free Interface Problem
Lobachevskii Journal of Mathematics. 2024.
V.45. N4. P.1511-1523. DOI: 10.1134/s1995080224601267
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РИНЦ
OpenAlex
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6
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Trakhinin Y.
Stabilizing effect of surface tension for the linearized MHD-Maxwell free interface problem
arXiv.org. 2024.
DOI: 10.48550/arxiv.2409.14758
OpenAlex
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7
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Secchi P.
, Trakhinin Y.
, Wang T.
On vacuum free boundary problems in ideal compressible magnetohydrodynamics
Bulletin of the London Mathematical Society. 2023.
V.55. N5. P.2087-2111. DOI: 10.1112/blms.12913
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8
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Trakhinin Y.
Well-posedness for moving interfaces in anisotropic plasmas
Zeitschrift fur Angewandte Mathematik und Physik. 2023.
V.74. N4. 142
:1-12. DOI: 10.1007/s00033-023-02035-4
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РИНЦ
OpenAlex
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9
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Trakhinin Y.
, Wang T.
Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension
Mathematische Annalen. 2022.
V.383. N1-2. P.761-808. DOI: 10.1007/s00208-021-02180-z
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РИНЦ
OpenAlex
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10
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Trakhinin Y.
, Wang T.
Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD
SIAM Journal on Mathematical Analysis. 2022.
V.54. N6. P.5888-5921. DOI: 10.1137/22m1488429
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РИНЦ
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11
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Trakhinin Y.
On weak stability of shock waves in 2D compressible elastodynamics
Journal of Hyperbolic Differential Equations. 2022.
V.19. N1. P.157-173. DOI: 10.1142/S0219891622500035
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РИНЦ
OpenAlex
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12
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Trakhinin Y.
, Wang T.
Nonlinear Stability of MHD Contact Discontinuities with Surface Tension
Archive for Rational Mechanics and Analysis. 2022.
V.243. N2. P.1091-1149. DOI: 10.1007/s00205-021-01740-6
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РИНЦ
OpenAlex
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13
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Trakhinin Y.L.
LOCAL SOLVABILITY OF FREE BOUNDARY PROBLEMS IN IDEAL COMPRESSIBLE MAGNETOHYDRODYNAMICS WITH AND WITHOUT SURFACE TENSION
Journal of Applied Mechanics and Technical Physics. 2021.
V.62. N4. P.684-691. DOI: 10.1134/S0021894421040180
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14
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Trakhinin Y.
, Wang T.
Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics
Archive for Rational Mechanics and Analysis. 2021.
V.239. N2. P.1131-1176. DOI: 10.1007/s00205-020-01592-6
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15
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Трахинин Ю.Л.
О локальной разрешимости задач со свободными границами в магнитной гидродинамике идеальной сжимаемой жидкости без учета и с учетом поверхностного натяжения
Прикладная механика и техническая физика. 2021.
Т.62. №4. С.181-190. DOI: 10.15372/PMTF20210418
OpenAlex
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16
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Trakhinin Y.
On violent instability of a plasma-vacuum interface for an incompressible plasma flow and a nonzero displacement current in vacuum
Communications in Mathematical Sciences. 2020.
V.18. N2. P.321-337. DOI: 10.4310/CMS.2020.v18.n2.a2
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17
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Trakhinin Y.L.
Local Existence of Contact Discontinuities in Relativistic Magnetohydrodynamics
Siberian Advances in Mathematics. 2020.
V.30. N1. P.55-76. DOI: 10.3103/s1055134420010058
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18
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Morando A.
, Secchi P.
, Trakhinin Y.
, Trebeschi P.
Stability of an incompressible plasma–vacuum interface with displacement current in vacuum
Mathematical Methods in the Applied Sciences. 2020.
V.43. N12. P.7465-7483. DOI: 10.1002/mma.6488
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19
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Trakhinin Y.
Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics
Zeitschrift fur Angewandte Mathematik und Physik. 2020.
V.71. 118
. DOI: 10.1007/s00033-020-01344-2
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20
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Morando A.
, Secchi P.
, Trakhinin Y.
, Trebeschi P.
On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum
Journal of Physics: Conference Series. 2020.
V.1666. 012053
. DOI: 10.1088/1742-6596/1666/1/012053
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OpenAlex
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21
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Morando A.
, Trakhinin Y.
, Trebeschi P.
Structural stability of shock waves in 2D compressible elastodynamics
Mathematische Annalen. 2020.
V.378. P.1471-1504. DOI: 10.1007/s00208-019-01920-6
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22
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Трахинин Ю.Л.
Локальное существование контактных разрывов в релятивистской магнитной гидродинамике
Математические труды. 2020.
Т.22. №2. С.175-209.
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23
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Ruan L.
, Trakhinin Y.
Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD
Zeitschrift fur Angewandte Mathematik und Physik. 2019.
V.70. 17
. DOI: 10.1007/s00033-018-1063-1
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24
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Ruan L.
, Trakhinin Y.
Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results
Physica D: Nonlinear Phenomena. 2019.
V.391. P.66-71. DOI: 10.1016/j.physd.2018.11.008
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25
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Morando A.
, Trakhinin Y.
, Trebeschi P.
Local Existence of MHD Contact Discontinuities
Archive for Rational Mechanics and Analysis. 2018.
V.228. N2. P.691-742. DOI: 10.1007/s00205-017-1203-3
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OpenAlex
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26
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Trakhinin Y.
Well-posedness of the free boundary problem in compressible elastodynamics
Journal of Differential Equations. 2018.
V.264. N3. P.1661-1715. DOI: 10.1016/j.jde.2017.10.005
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