Interfacial behaviors of the backward forward diffusion convection equations

2018/12/26 by Lianzhang Bao, Bao, Lianzhang
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Differential Equations and Numerical Methods

paper · pdf · doi:10.48550/arxiv.1812.10205

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.

Citations

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

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