报告人：赵昆 教授 (哈尔滨工程大学)

时间：2024年10月26日 09:00-

地址：理科楼LA103

摘要：We introduce rigorous mathematical results concerning the qualitative behavior of a nonlinear PDE model describing the mechanistic and chemotactic properties of vasculogenesis - the early stage of the formation of a vascular network. The PDE model consists of the compressible Euler equations and a reaction-diffusion equation through nonlocal coupling. Depending on the parametric and boundary conditions, different steady state solutions are constructed on bounded domains, which are reasonably consistent with experimental observations. Utilizing energy methods, the steady states are shown to be locally exponentially stable under different parametric settings depending on the space dimension, provided that a particular parameter is sufficiently large.

邀请人：王华桥

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