Global unique solvability of 3D MHD equations in a thin periodic domain

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:347

Article

Chueshov, Igor

关键词: 3D MHD equations;    thin domains;    global existence and uniqueness;   

DOI  :  10.1016/j.jmaa.2008.05.088

来源: Elsevier

【 摘 要 】

We study magnetohydrodynamic equations for a viscous incompressible resistive fluid in a thin 3D domain. We prove the global existence and uniqueness of solutions corresponding to a large set of initial data from Sobolev type space of the order 1/2 and forcing terms from L-2 type space. We also show that the solutions constructed become smoother for positive time and prove the global existence of (unique) strong solutions. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free