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arXiv · 2304.00529

Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regine

Yuming Qin·Xiuqing Wang·Junchen Liu
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Abstract

In this paper, we prove local existence and uniqueness for the 2D Prandtl-Hartmann regine in weighted Sobolev spaces. Our proof is based on using uniform estimates of the regularized parabolic equation and maximal principle under the Oleinik's monotonicity assumption. Compared with Nash-Moser iteration in \cite{[5]}, the data do not require high regularity.

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Yuming Qin, Xiuqing Wang, Junchen Liu. 2023-04-02. Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regine. https://arxiv.org/abs/2304.00529

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