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math.AP2019★ 5 cited
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)…
math.AP2019
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…
math.AP2019★ 40 cited
Simple evaluation of Casimir invariants in finite-dimensional Poisson systems
Benito Hernández-Bermejo, V. Fairén
In this letter we present a procedure for the calculation of the Casimir functions of finite-dimensional Poisson systems which avoids the burden of solving a set of partial differe…