arXiv:0904.3587 Abstract | arXiv Analytics

arXiv:0904.3587 [math.AP]Abstract References Reviews Resources

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

Published 2009-04-23Version 1

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 $\gamma>\frac32$ and constant viscosity coefficients.

DOI: 10.1007/s00205-010-0295-9

Categories: math.AP, math-ph, math.MP

Subjects: 35Q36, 35D05, 76W05

Keywords: compressible magnetohydrodynamic flows, large-time behavior, three-dimensional equations, global existence, constant viscosity coefficients

Tags: journal article

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