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arXiv · 2205.12817

Partial regularity for an elliptic-parabolic system modeling miscible fluid flows in porous media

Xiangsheng Xu
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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.

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Xiangsheng Xu. 2022-05-25. Partial regularity for an elliptic-parabolic system modeling miscible fluid flows in porous media. https://arxiv.org/abs/2205.12817

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