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Compressible magnetohydrodynamics as a dissipative system
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- Březina Jan
- Faculty of Arts and Science, Kyushu University
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- Feireisl Eduard
- Institute of Mathematics of the Academy of Sciences of the Czech Republic
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Description
<p>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.</p>
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 77 (3), 763-795, 2025
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390586444065083392
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 034225726
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
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- Abstract License Flag
- Disallowed