论文标题
用于管理两个细胞种群运动的模型的全局存在定理
Global existence theorem for a model governing the motion of two cell populations
论文作者
论文摘要
本文涉及对两个细胞种群生长研究中出现的交叉扩散系统初始边界问题的薄弱解决方案。数学挑战是由于该系数矩阵是非对称和退化的事实，其决定因素为$ 0 $。通过探索总人口密度满足多孔培养基方程的事实来确定存在断言。
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.
