A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations

Abstract

In this paper we prove a new estimate of the threshold wave speed for traveling wavefronts of the reaction–diffusion–convection equations of the type \[v_\tau + h(v) v_x= \left[ D(v)v_x \right]_x + f(v) \] where \(h\) is a convective term, \(D\) is a positive (potentially degenerate) diffusive term and \(f\) stands for a monostable reaction term.

Keywords

• reaction–diffusion equations
• convective terms
• traveling fronts
• critical wave speed
• singular boundary value problems
• heteroclinic solutions