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Trakhinin Yuri Leonidovich

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Science activity

Articles - 23 , Conference theses - 1 , Conference attendances - 6


Articles (23) More info

1 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 WOS Scopus РИНЦ OpenAlex
2 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 WOS Scopus РИНЦ OpenAlex
3 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 WOS Scopus РИНЦ OpenAlex
4 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 WOS Scopus РИНЦ OpenAlex
5 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
6 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 WOS Scopus РИНЦ OpenAlex
7 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 WOS Scopus РИНЦ OpenAlex
8 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 WOS Scopus РИНЦ OpenAlex
9 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 WOS Scopus РИНЦ OpenAlex
10 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 WOS Scopus РИНЦ OpenAlex
11 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 WOS Scopus РИНЦ OpenAlex
12 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 WOS Scopus OpenAlex
13 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 WOS Scopus OpenAlex
14 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 Scopus OpenAlex
15 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 Scopus OpenAlex
16 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 WOS Scopus OpenAlex
17 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 WOS Scopus OpenAlex
18 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 Scopus OpenAlex
19 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 WOS Scopus OpenAlex
20 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 WOS Scopus OpenAlex
21 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 WOS Scopus OpenAlex
22 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 WOS Scopus OpenAlex
23 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 WOS Scopus OpenAlex

Conference theses (1) More info

1 Trakhinin Y.
On well-posedness of the MHD-Maxwell free interface problem
In compilation International Conference «Nonlocal and Nonlinear Problems». Abstracts. Moscow, Russia, October 14–19, 2024.. – РУДН., 2024. – C.35-36. – ISBN 978-5-209-11889-3.

Conference attendances (6) More info

1 Trakhinin Y.
On well-posedness of the MHD-Maxwell free interface problem
Международная конференция «Нелокальные и нелинейные задачи» 14-19 Oct 2024
2 Trakhinin Y.
Well-posedness of the free boundary problem in ideal compressible MHD with surface tension
XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications 20-24 Jun 2022
3 Trakhinin Y.L.
Structural stability of shock waves and current-vortex sheets in the solar tachocline
Динамика в Сибири 24-29 Feb 2020
4 Trakhinin Y.L.
On local existence and violent instabilities of a plasma-vacuum interface
International conference “Dynamics in Siberia” 25 Feb - 2 Mar 2019
5 Trakhinin Y.L.
On application of the Nash – Moser method to weakly well-posed free boundary problems
International conference “Dynamics in Siberia” 26 Feb - 4 Mar 2018
6 Trakhinin Y.L.
Local well-posedness of the free boundary problems in compressible elastodynamics
International workshop “Nonlinear PDEs in Continuum Mechanics and Related Topics” 22-26 Jan 2018

Identifiers

ORCID: 0000-0001-8827-2630
Scopus ID: 55980402200
Elibrary ID: 7263
ResearcherID: D-2229-2009
ResearchGate ID: Yuri-Trakhinin
MathNet: 17822

Degrees

2006 - Dr.Sc.