Entropic and gradient flow formulations for nonlinear diffusion

Nicolas Dirr, Marios Stamatakis, Johannes Zimmer

Nonlinear diffusion ${\partial }_t\rho =\Delta (\Phi (\rho ))$ is considered for a class of nonlinearities $\Phi$. It is shown that for suitable choices of $\Phi$, an associated Lyapunov functional can be…