Global well-posedness of a Prandtl model from MHD in Gevrey function spaces
نویسندگان
چکیده
We consider a Prandtl model derived from MHD in the Prandtl-Hartmann regime that has damping term due to effect of Hartmann boundary layer. A global-in-time well-posedness is obtained Gevrey function space with optimal index 2. The proof based on cancellation mechanism through some auxiliary functions study equation and an observation about structure loss one order tangential derivatives twice operations operator.
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: Acta Mathematica Scientia
سال: 2022
ISSN: ['1572-9087', '0252-9602']
DOI: https://doi.org/10.1007/s10473-022-0609-7