Anal. Theory Appl., 36 (2020), pp. 1-18.
Published online: 2020-05
[An open-access article; the PDF is free to any online user.]
Cited by
- BibTex
- RIS
- TXT
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 $\eta>0$.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-0015}, url = {http://global-sci.org/intro/article_detail/ata/16910.html} }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 $\eta>0$.