Trakhinin Yuri Leonidovich

Employee

Science activity

Articles - 24 , Conference theses - 1 , Conference attendances - 6

Articles (24) 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	Shafeev A. , Trakhinin Y. Three-dimensional structural stability of shock waves in elastodynamics Zeitschrift fur Angewandte Mathematik und Physik. 2025. V.76. N5. 188 :1-18. DOI: 10.1007/s00033-025-02569-9 WOS Scopus OpenAlex
3	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
4	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
5	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
6	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
7	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
8	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
9	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
10	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
11	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
12	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
13	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
14	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
15	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
16	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
17	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
18	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
19	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
20	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
21	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
22	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
23	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
24	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.