Global existence theorem for a model governing the motion of two cell populations
arXiv:2004.05939
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 . Existence assertion is established by exploring the fact that the total population density satisfies a porous media equation.