Vanishing viscosity limit of navier-stokes equations in gevrey class
Analysis of PDEs
2017-10-11 v1
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.
Keywords
Cite
@article{arxiv.1702.06738,
title = {Vanishing viscosity limit of navier-stokes equations in gevrey class},
author = {Feng Cheng and Wei-Xi Li and Chao-Jiang Xu},
journal= {arXiv preprint arXiv:1702.06738},
year = {2017}
}