Multiple large-time behavior of nonlocal interaction equations with quadratic diffusion
Multiple large-time behavior of nonlocal interaction equations with quadratic diffusion
In this paper we consider a one-dimensional nonlocal interaction equation with quadratic porous-medium type diffusion in which the interaction kernels are attractive, nonnegative, and integrable on the real line. Earlier results in the literature have shown existence of nontrivial steady states if the $L^1$ norm of the kernel $G$ is …