3D hyperbolic Navier-Stokes equations in a thin strip: global well-posedness and hydrostatic limit in Gevrey space
Analysis of PDEs
2022-04-21 v1
Abstract
We consider the hyperbolic version of three-dimensional anisotropic Naver-Stokes equations in a thin strip and its hydrostatic limit that is a hyperbolic Prandtl type equations. We prove the global-in-time existence and uniqueness for the two systems and the hydrostatic limit when the initial data belong to the Gevrey function space with index 2. The proof is based on a direct energy method by observing the damping effect in the systems.
Keywords
Cite
@article{arxiv.2204.09173,
title = {3D hyperbolic Navier-Stokes equations in a thin strip: global well-posedness and hydrostatic limit in Gevrey space},
author = {Wei-Xi Li and Tong Yang},
journal= {arXiv preprint arXiv:2204.09173},
year = {2022}
}