学术信息

Structure formation in a degenerate haptotaxis model involving myopic diffusion

主讲人简介:Michael Winkler, Professor of University of Paderborn, Germany. He is mainly interested in the qualitative analysis of nonlinear parabolic partial differential equations. Up to now, has had 108 publications with more than 1400 citations.

内容摘要:We consider a spatially one-dimensional haptotaxis system involving degenerate diffusion and cross-diffusion rates, as arising in the modeling of cancer invasion processes in contexts of so-called myopic diffusion mechanisms. We briefly discuss issues of existence theory and thereafter focus on qualitative behavior of solutions. In particular, we identify circumstances under which the behavior is essentially diffusion-dominated in the sense that solutions approach a spatially heterogeneous, possibly singular equilibrium the shape of which is determined by the diffusion rate only.

讲座主持:陶有山 教授

讲座语言:英语

陶有山

关于东华大学

东华大学是教育部直属、国家“211工程”、国家“双一流”建设高校。学校秉承“崇德博学、砺志尚实”的校训,不断开拓奋进,
已发展成为以纺织、材料、设计为优势,特色鲜明的多科性、高水平大学。

了解更多