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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.