Section: New Results

Numerical methods for stratigraphy problems

In the framework of the PhD thesis of Nicolas Peton, numerical methods are developed for nonlinear diffusion equations arising in stratigraphic modeling. In [33], the special case of a $p$-Laplacian equation with a constraint on the divergence of the flux is considered. Such a model is used to model erosion and sedimentation processes. The constraint is incorporated to take into account a maximal erosion rate.