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  1. 2024

  2. Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem

    Morando, A., Secchi, P., Trakhinin, Y., Trebeschi, P. & Yuan, D., Aug 2024, In: Archive for Rational Mechanics and Analysis. 248, 4, 45 p., 56.

    Research output: Contribution to journal › Article › peer-review

  3. 2023

  4. On vacuum free boundary problems in ideal compressible magnetohydrodynamics

    Secchi, P., Trakhinin, Y. & Wang, T., Oct 2023, In: Bulletin of the London Mathematical Society. 55, 5, p. 2087-2111 25 p.

    Research output: Contribution to journal › Article › peer-review

  5. 2022

  6. Well-Posedness for Moving Interfaces with Surface Tension in Ideal Compressible MHD

    Trakhinin, Y. & Wang, T., 1 Dec 2022, In: SIAM Journal on Mathematical Analysis. 54, 6, p. 5888-5921 34 p.

    Research output: Contribution to journal › Article › peer-review

  7. Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension

    Trakhinin, Y. & Wang, T., Jun 2022, In: Mathematische Annalen. 383, 1-2, p. 761-808 48 p.

    Research output: Contribution to journal › Article › peer-review

  8. On weak stability of shock waves in 2D compressible elastodynamics

    Trakhinin, Y., 1 Mar 2022, In: Journal of Hyperbolic Differential Equations. 19, 1, p. 157-173 17 p.

    Research output: Contribution to journal › Article › peer-review

  9. Nonlinear Stability of MHD Contact Discontinuities with Surface Tension

    Trakhinin, Y. & Wang, T., Feb 2022, In: Archive for Rational Mechanics and Analysis. 243, 2, p. 1091-1149 59 p.

    Research output: Contribution to journal › Article › peer-review

  10. 2021

  11. Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics

    Trakhinin, Y. & Wang, T., Feb 2021, In: Archive for Rational Mechanics and Analysis. 239, 2, p. 1131-1176 46 p.

    Research output: Contribution to journal › Article › peer-review

  12. 2020

  13. Structural stability of shock waves in 2D compressible elastodynamics

    Morando, A., Trakhinin, Y. & Trebeschi, P., 1 Dec 2020, In: Mathematische Annalen. 378, 3-4, p. 1471-1504 34 p.

    Research output: Contribution to journal › Article › peer-review

  14. On well-posedness of the plasma-vacuum interface problem with displacement current in vacuum

    Morando, A., Secchi, P., Trakhinin, Y. & Trebeschi, P., 20 Nov 2020, In: Journal of Physics: Conference Series. 1666, 1, 012053.

    Research output: Contribution to journal › Conference article › peer-review

  15. Stability of an incompressible plasma–vacuum interface with displacement current in vacuum

    Morando, A., Secchi, P., Trakhinin, Y. & Trebeschi, P., 1 Aug 2020, In: Mathematical Methods in the Applied Sciences. 43, 12, p. 7465-7483 19 p.

    Research output: Contribution to journal › Article › peer-review

  16. Structural stability of shock waves and current-vortex sheets in shallow water magnetohydrodynamics

    Trakhinin, Y., 1 Jul 2020, In: Zeitschrift fur Angewandte Mathematik und Physik. 71, 4, 13 p., 118.

    Research output: Contribution to journal › Article › peer-review

  17. Local Existence of Contact Discontinuities in Relativistic Magnetohydrodynamics

    Trakhinin, Y. L., 17 Mar 2020, In: Siberian Advances in Mathematics. 30, 1, p. 55-76 22 p.

    Research output: Contribution to journal › Article › peer-review

  18. On violent instability of a plasma-vacuum interface for an incompressible plasma flow and a nonzero displacement current in vacuum

    Trakhinin, Y., 1 Feb 2020, In: Communications in Mathematical Sciences. 18, 2, p. 321-337 17 p.

    Research output: Contribution to journal › Article › peer-review

  19. 2019

  20. Elementary symmetrization of inviscid two-fluid flow equations giving a number of instant results

    Ruan, L. & Trakhinin, Y., 1 Apr 2019, In: Physica D: Nonlinear Phenomena. 391, p. 66-71 6 p.

    Research output: Contribution to journal › Article › peer-review

  21. Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD

    Ruan, L. & Trakhinin, Y., 1 Feb 2019, In: Zeitschrift fur Angewandte Mathematik und Physik. 70, 1, 12 p., 17.

    Research output: Contribution to journal › Article › peer-review

  22. 2018

  23. Local Existence of MHD Contact Discontinuities

    Morando, A., Trakhinin, Y. & Trebeschi, P., 1 May 2018, In: Archive for Rational Mechanics and Analysis. 228, 2, p. 691-742 52 p.

    Research output: Contribution to journal › Article › peer-review

  24. Well-posedness of the free boundary problem in compressible elastodynamics

    Trakhinin, Y., 5 Feb 2018, In: Journal of Differential Equations. 264, 3, p. 1661-1715 55 p.

    Research output: Contribution to journal › Article › peer-review

ID: 3438817