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On Existence, Uniqueness and Lr-Exponential Stability for Stationary Solutions to the MHD Equations in Three-Dimensional Domains
The ANZIAM Journal (2004)
  • Chunshan Zhao
  • Kaitai Li, Xi'an Jiaotong University
Abstract
The existence of stationary solutions to the MHD equations in three-dimensional bounded domains will be proved. At the same time if the assumption of smallness is made on external forces, uniqueness of the stationary solutions can be guaranteed and it can be shown that any Lr (r > 3) global bounded non-stationary solution to the MHD equations approaches the stationary solution under both L2 and Lr norms exponentially as time goes to infinity.
Keywords
  • Lr-exponential stability,
  • Stationary solutions
Disciplines
Publication Date
July, 2004
DOI
10.1017/S1446181100013705
Citation Information
Chunshan Zhao and Kaitai Li. "On Existence, Uniqueness and Lr-Exponential Stability for Stationary Solutions to the MHD Equations in Three-Dimensional Domains" The ANZIAM Journal Vol. 46 Iss. 1 (2004) p. 95 - 109 ISSN: 1446-8735
Available at: http://works.bepress.com/chunshan_zhao/47/