Event Detail

Event Type: 
Analysis Seminar
Monday, May 9, 2022 - 12:00 to 12:50
BEXL 417

Speaker Info

University of Colorado, Boulder

We study a particular PDE model for chemotaxis with logarithmic sensitivity and logistic growth. We obtain existence and uniqueness of solutions as well as results for the zero-diffusion limit of the solutions with Neumann boundary conditions. We also show the formation of a boundary layer for the problem with dynamic boundary conditions, as well as some stability results. Numerical simulations will bring some light about the time-scale parameters as well as possible extensions on the problem. This is joint work with Kyle Zhao, Vincent Martinez and Ricardo Cortez.