13 citations · 18 across the 4 of their papers we have counts for
4 papers
Transition between extinction and blow-up in a generalized Fisher-KPP model
Benito Hernández-Bermejo, Ariel Sánchez-Valdés
Stationary solutions of the Fisher-KPP equation with general nonlinear diffusion and arbitrary reactional kinetic orders terms are characterized. Such stationary (separatrix-like)…
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 posed f…
New travelling wave solutions for the Fisher-KPP equation with general exponents
Ariel Sánchez-Valdés, Benito Hernández-Bermejo
The Fisher-KPP equation with general nonlinear diffusion and arbitrary kinetic orders in the reaction terms is considered. The existence of oscillatory travelling wave solutions is…
Asymptotic behavior for the heat equation in nonhomogeneous media with critical density
Razvan Iagar, Ariel Sánchez
We study the asymptotic behavior of solutions to the heat equation in nonhomogeneous media with critical singular density $$ |x|^{-2}\partial_{t}u=Δu, \quad \hbox{in} \ \real^N\tim…