Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 47, Issue 4, Pages 2630-2656Publisher
SIAM PUBLICATIONS
DOI: 10.1137/140985445
Keywords
MHD equations; global existence; velocity damping
Categories
Funding
- NSF [DMS1209153]
- NSFC [11101042, 11371059]
- BNSF [2112023]
- Fundamental Research Funds for the Central Universities of China
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This paper studies the global well-posedness of the incompressible magnetohydrodynamic (MHD) system with a velocity damping term. We establish the global existence and uniqueness of smooth solutions when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various Sobolev norms of the solutions are also given.
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