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Long time well-posedness of 2-D MHD boundary layer equation without resistivity
  • Dongxiang Chen,
  • Xiaoli Li
Dongxiang Chen
Jiangxi Normal University

Corresponding Author:chendx020@163.com

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Xiaoli Li
Jiangxi Normal University
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Abstract

This paper investigates the long time well-posedness of 2-D MHD boundary layer equation without resistivity. It is proved that if the initial data satisfies \begin{align*} \|(u_0,h_0-1)\|_{H_{\mu}^{3,0}}+\|(u_0,h_0-1)\|_{H_{\mu}^{1,2}}+\|(u_0,h_0-1)\|_{H_{\mu}^{2,1}}\le \varepsilon, \end{align*} then the life span of the solution is at least of order $\varepsilon^{-\f43}$.
26 Apr 2022Submitted to Mathematical Methods in the Applied Sciences
27 Apr 2022Submission Checks Completed
27 Apr 2022Assigned to Editor
08 Aug 2022Reviewer(s) Assigned
17 Nov 2022Review(s) Completed, Editorial Evaluation Pending
04 Dec 2022Editorial Decision: Revise Major
08 Dec 20221st Revision Received
09 Dec 2022Submission Checks Completed
09 Dec 2022Assigned to Editor
09 Dec 2022Review(s) Completed, Editorial Evaluation Pending
12 Dec 2022Reviewer(s) Assigned
25 Jan 2023Editorial Decision: Accept