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arXiv · 2004.05939

Global existence theorem for a model governing the motion of two cell populations

Brock C. Price·Xiangsheng Xu
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Abstract

This article is concerned with the existence of a weak solution to the initial boundary problem for a cross-diffusion system which arises in the study of two cell population growth. The mathematical challenge is due to the fact that the coefficient matrix is non-symmetric and degenerate in the sense that its determinant is $0$. Existence assertion is established by exploring the fact that the total population density satisfies a porous media equation.

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Brock C. Price, Xiangsheng Xu. 2020-04-13. Global existence theorem for a model governing the motion of two cell populations. https://arxiv.org/abs/2004.05939

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