Equivalence and finite time blow-up of solutions and interfaces for two nonlinear diffusion equations

Benito Hernández-Bermejo, Razvan Gabriel Iagar, Pilar R. Gordoa +2

In this work, we construct a transformation between the solutions to the following reaction-convection-diffusion equation $${\partial }_{t}u=(u^m{)}_{xx}+a(x)(u^m{)}_x+b(x)u^m,$$ posed f…