Well-posedness of the MHD boundary layer equations with small initial data in Sobolev space

The purpose of this paper is to prove the well-posedness of the 2D magnetohydrodynamic (MHD) boundary layer equations for small initial data in Sobolev space of polynomial weight and low regularity. Our proofs are based on the paralinearization method and an abstract bootstrap argument. We first obt...

Full description

Saved in:
Bibliographic Details
Main Author: Xiaolei Dong
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024309
Tags: Add Tag
No Tags, Be the first to tag this record!