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arXiv · 1511.00539

Gevrey regularity with weight for incompressible Euler equation in the half plane

Feng Cheng·Wei-Xi Li·Chao-Jiang Xu
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Abstract

In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted $L^2$- estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.

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Feng Cheng, Wei-Xi Li, Chao-Jiang Xu. 2015-11-02. Gevrey regularity with weight for incompressible Euler equation in the half plane. https://arxiv.org/abs/1511.00539

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