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

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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 \({\gamma > \frac 32}\) and constant viscosity coefficients.

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Authors and Affiliations

  1. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    Xianpeng Hu & Dehua Wang

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  1. Xianpeng Hu
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  2. Dehua Wang
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Correspondence to Xianpeng Hu.

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Communicated by C. M. Dafermos

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Hu, X., Wang, D. Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows. Arch Rational Mech Anal 197, 203–238 (2010). https://doi.org/10.1007/s00205-010-0295-9

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  • DOI: https://doi.org/10.1007/s00205-010-0295-9

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