University of Birmingham > Talks@bham > Analysis seminar > Convex Lyapunov functionals for non-convex gradient flows: two examples

## Convex Lyapunov functionals for non-convex gradient flows: two examplesAdd to your list(s) Download to your calendar using vCal - Daniel Matthes (Munich Technical University, Germany)
- Tuesday 11 March 2014, 16:00-17:00
- Nuffield G18.
If you have a question about this talk, please contact José Cañizo. Note this talk is scheduled on a Tuesday instead of a Wednesday Various diffusion equations can be written as a gradient flow, i.e., their solutions are curves of steepest descent (with respect to a suitable metric) in some energy landscape (of a suitable potential). If the potential is strictly convex in the considered metric, then one immediately obtains quantitative estimates on the speed of convergence of solutions towards equilibrium. In this talk, I will discuss two examples in which the potential is not convex, but still good estimates on the long-time asymptotics can be derived by variational methods. The first example (joint with S.Linisi and G.Savare) is a family of fourth order degenerate parabolic equations, which arise e.g. in models for lubrication. The second example (joint work with J.Zinsl) is a system of two nonlinear diffusion equations modeling the aggregation of bacteria. This talk is part of the Analysis seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
## Other listsIMA West Midlands Branch Chemical Engineering Research Seminar Series Analysis seminar## Other talks[Friday seminar]: Irradiated brown dwarfs in the desert The percolating cluster is invisible to image recognition with deep learning Signatures of structural criticality and universality in the cellular anatomy of the brain Provably Convergent Plug-and-Play Quasi-Newton Methods for Imaging Inverse Problems |