Stability of Strong Solutions to the Full Compressible Magnetohydrodynamic System with Non-Conservative Boundary Conditions

We define a dissipative measure-valued (DMV) solution to the system of equations governing the motion of a general compressible, viscous, electrically and heat conducting fluid driven by non-conservative boundary conditions. We show the stability of strong solutions to the full compressible magnetoh...

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Bibliographic Details
Published inJournal of mathematical fluid mechanics Vol. 27; no. 4
Main Author Mizerová, Hana
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.11.2025
Springer Nature B.V
Subjects
Boundary conditions
Classical and Continuum Physics
Compressibility
Conducting fluids
Fluid- and Aerodynamics
Heat transmission
Magnetohydrodynamics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Stability
Dissipative systems
Non-conservative boundary conditions
Compressible magnetohydrodynamics
Dissipative measure-valued solution
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Summary:We define a dissipative measure-valued (DMV) solution to the system of equations governing the motion of a general compressible, viscous, electrically and heat conducting fluid driven by non-conservative boundary conditions. We show the stability of strong solutions to the full compressible magnetohydrodynamic system in a large class of these DMV solutions. In other words, we prove a DMV-strong uniqueness principle: a DMV solution coincides with the strong solution emanating from the same initial data as long as the latter exists.
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ISSN:1422-6928
1422-6952
DOI:10.1007/s00021-025-00967-7