Compressible magnetohydrodynamics as a dissipative system

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公開日
2025
DOI
  • 10.2969/jmsj/92789278
公開者
一般社団法人 日本数学会

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<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>

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