Stability of strong solutions to the full compressible magnetohydrodynamic system with non-conservative boundary conditions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00638247" target="_blank" >RIV/67985840:_____/25:00638247 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00021-025-00967-7" target="_blank" >https://doi.org/10.1007/s00021-025-00967-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-025-00967-7" target="_blank" >10.1007/s00021-025-00967-7</a>

Result language
angličtina
Original language name
Stability of strong solutions to the full compressible magnetohydrodynamic system with non-conservative boundary conditions
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA24-11034S" target="_blank" >GA24-11034S: Dissipative systems in fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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