Rarefaction waves in nonlocal convection-diffusion equations
Anna Pudełko · Colloquium Mathematicum · 2014
We consider a nonlocal convection-diffusion equation $u_t=J*u-u-uu_x,$ where $J$ is a probability density. We supplement this equation with step-like initial conditions and prove the convergence of the corresponding solutions towards a rarefaction wave, i