Wednesday, January 14, 2026 - 16:15 in U5-133 and online
Finite-volume-type approximations of coupled multi-species systems from a gradient flow perspective
A talk in the Oberseminar Analysis series by
Georg Heinze from WIAS Berlin
| Abstract: |
In this talk I will discuss the convergence of spatial discretizations for reaction-diffusion systems with mass-action law satisfying a detailed balance condition.
Considering systems on the d-dimensional torus, we construct appropriate space-discrete processes and show convergence not only on the level of solutions, but on the level of the gradient systems governing the evolutions.
As an important step, we prove chain rule inequalities for the reaction-diffusion systems as well as their discretizations, featuring a non-convex dissipation functional.
The convergence is obtained with variational methods by building on the recently introduced notion of gradient systems in continuity equation format.
Finally, I will highlight how space-discrete processes can also be used to approximate nonlinear cross-diffusion systems with size exclusion on the gradient systems level.
The talk is based in part on joint work with Alexander Mielke and Artur Stephan.
Meeting ID: 639 2876 8344
Password: 054853
|
Back
