Speaker
Dr. Xiangsheng Xu, Professor, Department of Mathematics & Statistics, MSU
Title
Mathematics Seminar Series
Subtitle
Existence and incompressible limit of a tissue growth model with autophagy
Physical Location
Allen 411
Digital Location
https://msstate.webex.com/msstate/j.php?MTID=mfa641b54f8ec32f6b99cef0d6bbcb76b
Abstract: In this paper we study a cross-diffusion system whose coefficient matrix is non-symmetric and degenerate. The system arises in the study of tissue growth with autophagy. The existence of a weak solution is established. We also investigate the limiting behavior of solutions as the pressure gets stiff. The so-called incompressible limit is a free boundary problem of Hele-Shaw type. Our key new discovery is that the usual energy estimate still holds as long as the time variable stays away from $0$.
This is a joint work with Jian-Guo Liu at Duke university.
For more information, please contact: Dr. Vu Thai Luan: luan@math.msstate.edu, (662)-325-7162.