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August 13, 2021 09:30–10:20, Пленарные доклады, Sochi
 


Локальная разрешимость задачи со свободной границей для магнитогидродинамического контактного разрыва

Yu. L. Trakhininab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University

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Website: https://talantiuspeh.webex.com/talantiuspeh-ru/j.php?MTID=m55570f44dd449faf2b424bad81fd836c

References
  1. Y. Trakhinin, “The existence of current-vortex sheets in ideal compressible magnetohydrodynamics”, Arch. Ration. Mech. Anal., 191 (2009), 245–310
  2. Y. Trakhinin, “Local existence for the free boundary problem for nonrelativistic and relativistic compressible Euler equations with a vacuum boundary condition”, Comm. Pure Appl. Math., 62 (2009), 1551-1594
  3. A. Morando, Y. Trakhinin, P. Trebeschi, “Local existence of MHD contact discontinuities”, Arch. Ration. Mech. Anal., 228 (2018), 691-742
  4. Y. Trakhinin, T. Wang, “Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics”, Arch. Rational Mech. Anal., 239 (2021), 1131-1176
  5. Y. Trakhinin, T. Wang, “Nonlinear stability of MHD contact discontinuities with surface tension”
 
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