Interfacial behaviors of the backward forward diffusion convection equations

Abstract

This paper is devoted to the interfacial behaviors of a class of backward forward diffusion convection equations. Under the assumption that the equations have classical solutions in one dimension, we prove that the backward region shrinks and the forward region expands with a positive rate.

References in corpus (1)

• Two-phase forward solutions for one-dimensional forward-backward parabolic equations with linear convection and reaction