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Stability of weak solutions to equations of magnetohydrodynamics with Lebesgue initial data
Authors:Jishan Fan  Song Jiang
Affiliation:a Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, PR China
b Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, PR China
c Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan
Abstract:We prove the existence, the uniqueness and the Lipschitz continuous dependence on the initial data of global weak solutions to equations of magnetohydrodynamics (MHD) with the initial data in the Lebesgue spaces.
Keywords:35B40   76N10
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