slideshow 3

Seminar on partial differential equations

Degenerate gradient systems: the bidomain problem and Dirichlet-to-Neumann operators

Ralph Chill
TU Dresden

 

Tuesday, 13. October 2020 - 9:00 to 10:00
only on Zoom:
https://cesnet.zoom.us/j/98914987846?pwd=YU9TZnRZdHV4NnhDVUpoZEgwZGtCdz09
Meeting ID: 989 1498 7846
Passcode: 889147
We identify a common structure behind several parabolic PDE models involving Dirichlet-to-Neumann operators, the bidomain operator, and some more, and we show that they actually have a gradient structure, possibly up to lower order perturbations. This has consequences for wellposedness of these PDEs, regularity of solutions and their asymptotic behaviour.