Global small solutions of MHD boundary layer equations in Gevrey function space*

Tan, Zhong; Wu, Zhonger

doi:10.1016/j.jde.2023.04.019

Journal of Differential Equations

2023

DOI: 10.1016/j.jde.2023.04.019

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Global small solutions of MHD boundary layer equations in Gevrey function space*

Zhong Tan

Zhonger Wu

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Cited by 2 publications

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Local Well‐Posedness to the Magneto‐Micropolar Boundary Layer Equations in Gevrey Space

Tan,

Zhang

2024

Math Methods in App Sciences

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We study the boundary layer equations for two‐dimensional magneto‐micropolar boundary layer system and establish the existence and uniqueness of solutions in the Gevrey function space without any structural assumption, with Gevrey index . Inspired by the abstract Cauchy‐Kovalevskaya theorem, our proof is based on a new cancellation mechanism in the system to overcome the difficulties caused by the loss of derivatives. Our results improve the classical local well‐posedness results presented in a previous study, specifically for cases where the initial data are analytic in the ‐variable.

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Local Well‐Posedness to the Magneto‐Micropolar Boundary Layer Equations in Gevrey Space

Tan,

Zhang

2024

Math Methods in App Sciences

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show abstract

The local well-posedness of 2D magneto-micropolar boundary layer equations without resistivity

Tan,

Zhang

2025

CPAA

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Global small solutions of MHD boundary layer equations in Gevrey function space*

Cited by 2 publications

References 25 publications

Local Well‐Posedness to the Magneto‐Micropolar Boundary Layer Equations in Gevrey Space

Local Well‐Posedness to the Magneto‐Micropolar Boundary Layer Equations in Gevrey Space

The local well-posedness of 2D magneto-micropolar boundary layer equations without resistivity

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