Compactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations

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dc.creatorHu, Xianpeng
dc.creatorWang, Dehua
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:07:51Z
dc.date.available2026-07-07T13:07:51Z
dc.descriptionThe compactness of weak solutions to the magnetohydrodynamic equations for the viscous, compressible, heat conducting fluids is considered in both the three-dimensional space $\R^3$ and the three-dimensional periodic domains. The viscosities, the heat conductivity as well as the magnetic coefficient are allowed to depend on the density, and may vanish on the vacuum. This paper provides a new idea to show the compactness of solutions of viscous, compressible, heat conducting magnetohydrodynamic flows, derives a new entropy identity, and shows that the limit of a sequence of weak solutions is still a weak solution to the compressible magnetohydrodynamic equations.
dc.identifierhttps://arxiv.org/abs/0904.3589
dc.identifierhttp://arxiv.org/abs/0904.3589
dc.identifierJ. Differential Equations 245 (2008), 2176-2198
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228227
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q36, 35D05, 76W05
dc.titleCompactness of weak solutions to the three-dimensional compressible magnetohydrodynamic equations
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