Departamento de Matemáticas UAM

Online Analysis and PDE seminar (UAM-UC-UC3M-UCM-ICMAT-IMUS)

Conferenciante: Wenxian Shen, Auburn University

Fecha: Miércoles 9 de marzo de 2022 - 15:00

Enlace al seminario

Resumen: Chemotaxis models are used to describe the movements of biological species or living organisms in response to certain chemicals in their environments.There are various types of chemotaxis models. The current talk is concerned with the dynamics in parabolic-elliptic chemotaxis models with logistic source. The talk consists of two parts.

In the first part, I will discuss the finite-time blow-up prevention by logistic source in parabolic-elliptic chemotaxis models on bounded domains. In the second part, I will consider front propagation dynamics including spatial spreading speeds and traveling wave solutions in parabolic-elliptic chemotaxis models on the whole space $R^N$.