Year: 2020
Author: Dongxiang Chen, Siqi Ren, Yuxi Wang, Zhifei Zhang
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 1–18
Abstract
In this paper, we study the long time well-posedness of 2-D MHD boundary layer equation. It was proved that if the initial data satisfies
$$\|(u_0,h_0-1)\|_{H_{\mu}^{3,0}\cap H_{\mu}^{1,2}}\le \varepsilon,$$ then the life span of the solution is at least of order $\varepsilon^{2-\eta}$ for $\eta>0$.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-0015
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 1–18
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: MHD boundary layer equation Sobolev space well-posedness.