Special Session 8: Recent Progress on Mathematical Analysis of PDEs Arising in Fluid Dynamics

On a hyperbolic-parabolic chemotaxis system

Hongyun Peng
Guangdong University of Technology
Peoples Rep of China
Co-Author(s):    Kun Zhao
Abstract:
Stability of steady state solutions associated with initial and boundary value problems of a coupled fluid-reaction-diffusion system in one space dimension is analyzed. It is shown that under Dirichlet-Dirichlet type boundary conditions, non-trivial steady state solutions exist and are locally stable when the system parameters satisfy certain constraints.