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Gevrey regularity with weight for incompressible euler equation in the half plane |
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| Authors: | Feng CHENG Wei-Xi LI Chao-Jiang XU |
| Affiliation: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;2. School of Mathematics and Statistics, and Computational Science Hubei Key Laboratory, Wuhan University, Wuhan 430072, China;3. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
| 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 L2-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function. |
| Keywords: | Gevrey class regularity incompressible Euler equation weighted Sobolev space 35M33 35Q31 76N10 |
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