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Large global well‐posedness of the three‐dimensional magneto‐hydrodynamic equations with the initial data of the type ‘ v + w ’
Author(s) -
Han Jinsheng
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2634
Subject(s) - mathematics , initial value problem , compressibility , type (biology) , magneto , dissipation , space (punctuation) , mathematical analysis , diffusion , cauchy problem , mathematical physics , physics , mechanics , geology , thermodynamics , computer science , paleontology , power (physics) , operating system
We study the Cauchy problem of the three‐dimensional, incompressible magneto‐hydrodynamic equations with full velocity dissipation and magnetic diffusion. We prove the global well‐posedness of the magneto‐hydrodynamic equations due to some particular initial data of the type ‘ v + w ’, which may be large in the corresponding critical space. We provide two kinds of results, and they do not contain each other. Copyright © 2012 John Wiley & Sons, Ltd.