Supplementary movies for nonlinear diffusion euqations

The equation $$ \partial_t \rho + \partial_x( \rho \partial_x (G \ast \rho))= \nu \partial_x(\rho \partial_x \rho^{m-1})$$ behaves differently depending on $m$.

Metastability for all $m \ge 1$


Decaying solution for $m \in (1,2)$


Convergent solution for $m \in (1,2)$