Organizers: Sam Punshon-Smith
This informal seminar is a place for researchers and graduate students interested broadly in the field of analysis. Students of all levels are encouraged to attend and ask questions. Talks should aim to be high level and introductory.
In this talk, we will be concerned with hyperbolic-parabolic chemotaxis system describing Vasculogenesis model in one space dimension associated with initial and boundary values. We will use delicate analysis to show that the system has a unique non-constant stationary solution. Then we will see that the stationary solution is locally asymptotically stable when the system parameters satisfy certain constraints.