Large time behavior for the incompressible magnetohydrodynamic equations in half‐spaces | Zendy

Liu Zhaoxia | Zendy; Yu Xingjiang | Zendy

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Large time behavior for the incompressible magnetohydrodynamic equations in half‐spaces

Author(s) -

Liu Zhaoxia,

Yu Xingjiang

Publication year - 2014

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.3227

Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , compressibility , mathematics , nonlinear system , mathematical analysis , space (punctuation) , first order , half space , physics , mechanics , magnetic field , computer science , quantum mechanics , operating system

The weighted L r ‐asymptotic behavior of the strong solution and its first‐order spacial derivatives to the incompressible magnetohydrodynamic (MHD) equations is established in a half‐space. Further, the L ∞ ‐decay rates of the second‐order spatial derivatives of the strong solution are derived by using the Stokes solution formula and employing a decomposition for the nonlinear terms in MHD equations. Copyright © 2014 John Wiley & Sons, Ltd.

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