Well-posedness of the MHD Boundary Layer System in Gevrey Function Space without Structural Assumption
نویسندگان
چکیده
We establish the well-posedness of MHD boundary layer system in Gevrey function space without any structural assumption. Compared to classical Prandtl equation, loss tangential derivative comes from both velocity and magnetic fields that are coupled with each other. By observing a new type cancellation mechanism for overcoming degeneracy, we show is well-posed index up 3/2 two- three-dimensional spaces.
منابع مشابه
Almost global well-posedness of Kirchhoff equation with Gevrey data
Article history: Received 26 November 2016 Accepted after revision 3 April 2017 Available online 18 April 2017 Presented by the Editorial Board The aim of this note is to present the almost global well-posedness result for the Cauchy problem for the Kirchhoff equation with large data in Gevrey spaces. We also briefly discuss the corresponding results in bounded and in exterior domains. © 2017 A...
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/20m1367027