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arXiv · 1702.06738

Vanishing viscosity limit of navier-stokes equations in gevrey class

Feng Cheng·Wei-Xi Li·Chao-Jiang Xu
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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.

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Feng Cheng, Wei-Xi Li, Chao-Jiang Xu. 2017-02-22. Vanishing viscosity limit of navier-stokes equations in gevrey class. https://doi.org/10.1002/mma.4378

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