Now showing items 11-20 of 284
Monotone waves for non-monotone and non-local monostable reaction–diffusion equations
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 ...
Abstract Framework For The Theory Of Statistical Solutions
(Academic Press Inc Elsevier ScienceSan Diego, 2016)
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 ...
NECESSARY AND SUFFICIENT OSCILLATION CRITERIA FOR DISCRETE REACTION-DIFFUSION EQUATIONS
(AMERICAN CONCRETE INSTITUTE, 2000)
We show that the technique of averaging and separation of variables can be used to obtain necessary and sufficient conditions for the oscillation of discrete reaction diffusion partial difference equations for finite rods ...
Dynamics in dumbbell domains I. Continuity of the set of equilibria
(Elsevier B.V., 2006-12-15)
We analyze the dynamics of a reaction-diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show ...