Partial regularity for an elliptic-parabolic system modeling miscible fluid flows in porous media
Analysis of PDEs
2022-11-11 v3
Abstract
In this paper we study the existence and partial regularity of weak solutions to an elliptic-parabolic system that models the single-phase miscible displacement of one incompressible fluid by another in a porous media. The system is singular and involves quadratic nonlinearity. A partial regularity result is obtained via the Fefferman-Stein inequality.
Keywords
Cite
@article{arxiv.2205.12817,
title = {Partial regularity for an elliptic-parabolic system modeling miscible fluid flows in porous media},
author = {Xiangsheng Xu},
journal= {arXiv preprint arXiv:2205.12817},
year = {2022}
}