Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows

2009/04/23 by Xianpeng Hu, Dehua Wang · 1 citation
Mathematics · Physics and Astronomy · #math.AP #math-ph #math.MP #msc:35Q36 #msc:35D05 #msc:76W05

paper · pdf · doi:10.1007/s00205-010-0295-9

arxiv created 2009/04/23 · arxiv updated 2015/05/13

Abstract

The three-dimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of global weak solutions are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent γ>\frac32 and constant viscosity coefficients.

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• On a compressible non-isothermal model for nematic liquid crystals

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