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Well-posedness of the MHD boundary layer system in Gevrey function space without Structural Assumption

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arxiv 2009.06513 v1 pith:P62CD2PT submitted 2020-09-14 math.AP

Wei-Xi Li , Tong Yang This is my paper · ORCID
classification math.AP
keywords systemboundarygevreylayerassumptionderivativefunctionloss
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abstract

We establish the well-posedness of the MHD boundary layer system in Gevrey function space without any structural assumption. Compared to the classical Prandtl equation, the loss of tangential derivative comes from both the velocity and magnetic fields that are coupled with each other. By observing a new type of cancellation mechanism in the system for overcoming the loss derivative degeneracy, we show that the MHD boundary layer system is well-posed with Gevrey index up to $3/2$ in both two and three dimensional spaces.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Prandtl Equations and Related Boundary Layer Equations

    math.AP 2024-11 unverdicted novelty 5.0 of 10

    The book claims new well-posedness theorems for Prandtl and MHD boundary layer equations, but the provided text only shows the survey portion.

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