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Wave-breaking model for boussinesq-type equations including roller effects in the mass conservation equation
(ASCE-AMER SOC CIVIL ENGINEERS, 2010)
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 ...
A singular vortex Rossby wave packet within a rapidly rotating vortex
(2017)
This paper describes the quasi-steady regime attained by a rapidly rotating vortex after a wave packet has interacted with it. We consider singular, nonlinear, helical, and shear asymmetric modes within a linearly stable, ...
Monotone waves for non-monotone and non-local monostable reaction-diffusion equations
(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 ...