Long Time Well-Posedness of the MHD Boundary Layer Equation in Sobolev Space

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.

Author Details

Dongxiang Chen

Siqi Ren

Yuxi Wang

Zhifei Zhang