On the Weak Solutions to Mixed Navier-Stokes-Darcy Model
Analysis of PDEs
2017-01-05 v2 Numerical Analysis
Abstract
In this paper, an a priori estimate of weak solutions to the mixed Navier-Stokes/Darcy model with Beavers-Joseph-Saffman's interface condition and the existence of a weak solution are established without the small data and/or the large viscosity restriction for the first time. Based on these results, the global uniqueness of the weak solution is obtained.
Cite
@article{arxiv.1608.04610,
title = {On the Weak Solutions to Mixed Navier-Stokes-Darcy Model},
author = {Yanren Hou and Haibiao Zheng},
journal= {arXiv preprint arXiv:1608.04610},
year = {2017}
}
Comments
18 pages, 1 figure