Existence and incompressible limit of a tissue growth model with autophagy

no code implementations • 7 Feb 2021 • Jian-Guo Liu, Xiangsheng Xu

In this paper we study a cross-diffusion system whose coefficient matrix is non-symmetric and degenerate.

Analysis of PDEs

Partial regularity for an exponential PDE in crystal surface models

no code implementations • 3 Jan 2021 • Xiangsheng Xu

It is known that the exponent term can exhibit singularity.

Analysis of PDEs