Qixiang Xu

Existence and Hausdorff convergence of sliding phenomena in traveling waves for a fast-slow Keller-Segel equation

A one-dimensional Keller-Segel equation with a piecewise-defined reaction term depending on the density gradient gives rise to a nonsmooth fast-slow system. Using Filippov convexification and geometric singular perturbation theory, we prove the existence of sliding traveling wave...