Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space

被引：27

作者：

Han, Pigong ^{[1
]}

He, Cheng ^{[2
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Natl Nat Sci Fdn China, Dept Math & Phys Sci, Div Math, Beijing 100085, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2012年 / 35卷 / 12期

基金：

中国国家自然科学基金;

关键词：

MHD equations; strong solution; decay rate; half space; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; ASYMPTOTIC-BEHAVIOR; SPATIAL DECAYS; FLOWS; REGULARITY; PROFILES;

D O I：

10.1002/mma.2538

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the asymptotic behavior of the strong solution to the incompressible magnetohydrodynamics (MHD) equations in a half space. The Lr-decay rates of the strong solution and its derivatives with respect to space variables and time variable, including the L1 and L?8? decay rates of its first order derivatives with respect to space variables, are derived by using Lq?-?Lr estimates of the Stokes semigroup and employing a decomposition for the nonlinear terms in MHD equations. In addition, if the given initial data lie in a suitable weighted space, we obtain more rapid decay rates than observed in general. Similar results are known for incompressible NavierStokes equations in a half space under same assumption. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：1472 / 1488

页数：17

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