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Transversal Instability for the Thermodiffusive Reaction-Diffusion System
(Shanghai Scientific Technology Literature, 2015)
The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, and growth of bacterial colonies. Since a scalar equation ...
On some fractional Green's functions
(Amer Inst PhysicsMelvilleEUA, 2009)
Nonmonotone travelling waves in a single species reaction–diffusion equation with delay
(Elsevier Inc., 2007)
Time discretization versus state quantization in the simulation of a one-dimensional advection–diffusion–reaction equation
(SAGE Publications, 2016-01)
In this article, we study the effects of replacing the time discretization by the quantization of the state variables on a one-dimensional (1D) advection–diffusion–reaction (ADR) problem. For that purpose the 1D ADR equation ...
Time–space white noise eliminates global solutions in reaction–diffusion equations
(Elsevier Science, 2009-01)
We prove that perturbing the reactiondiffusion equation ut = uxx + (u+) p p > 1), with timespace white noise produces that solutions explodes with probability one for every initial datum, opposite to the deterministic model ...
On epidemic models with nonlinear cross-diffusion
(MODELLING & SIMULATION SOC AUSTRALIA & NEW ZEALAND INC, 2013)
Monotone waves for non-monotone and non-local monostable reaction–diffusion equations
(Elsevier, 2016)
We propose a new approach for proving existence of monotone wavefronts in non-monotone and non local monostable diffusive equations. This allows to extend recent results established for the particular case of equations ...
TRAVELING WAVES FOR A BISTABLE REACTION-DIFFUSION EQUATION WITH DELAY
(2018)
The paper is devoted to a reaction-diffusion equation with delay arising in modeling the immune response. We prove the existence of traveling waves in the bistable case using the Leray-Schauder method. Differently from the ...