Special Session 1: Analysis of parabolic models for chemotaxis

The global solvability and asymptotic behavior for doubly degenerate nutrient model with large initial data

Duan Wu
Paderborn university
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we focus on the doubly degenerate nutrient model under no-flux boundary conditions in a two-dimensional smoothly bounded convex domain. In the previous related works, the results concerning the large time behavior were constrained to one dimension. In this work, we not only prove the global existence of solutions, but also show the asymptotic behavior.