Compressible magnetohydrodynamics as a dissipative system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00638245" target="_blank" >RIV/67985840:_____/25:00638245 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.2969/jmsj/92789278" target="_blank" >https://doi.org/10.2969/jmsj/92789278</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2969/jmsj/92789278" target="_blank" >10.2969/jmsj/92789278</a>

Result language
angličtina
Original language name
Compressible magnetohydrodynamics as a dissipative system
Original language description
We consider the complete system of equations governing the motion of a general compressible, viscous, electrically and heat conductive fluid driven by non-conservative boundary conditions. We show the existence of a bounded absorbing set in the energy space and asymptotic compactness of trajectories. As a corollary, the set of all entire globally bounded solutions is identified as a natural attractor. Examples of boundary conditions giving rise to unbounded solutions are also discussed.
Czech name
—
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/GA21-02411S" target="_blank" >GA21-02411S: Solving ill posed problems in the dynamics of compressible fluids</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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