Vanishing viscosity limit of Navier–Stokes Equations in Gevrey class |
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| Authors: | Feng Cheng Wei‐Xi Li Chao‐Jiang Xu |
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| Institution: | 1. School of Mathematics and Statistics, Wuhan University, Wuhan, China;2. School of Mathematics and Statistics, and Computational Science Hubei Key Laboratory, Wuhan University, Wuhan, China;3. Laboratoire de Mathématiques, Université de Rouen, Saint‐Etienne du Rouvray, France |
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| Abstract: | In this paper, we consider the inviscid limit for the periodic solutions to Navier–Stokes equation in the framework of Gevrey class. It is shown that the lifespan for the solutions to Navier–Stokes equation is independent of viscosity, and that the solutions of the Navier–Stokes equation converge to that of Euler equation in Gevrey class as the viscosity tends to zero. Moreover, the convergence rate in Gevrey class is presented. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | Gevrey class incompressible Navier– Stokes equation vanishing viscosity limit |
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