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A note on the stability and instability of travelling wave of Korteweg-de Vries type : the periodic case.
(2012-10-04)
In this paper we adapt the work of M. Grillakis, J. Shatah, and W. Strauss, or J. Bona, P.
Souganidis and W. Strauss to the periodic case in spaces having the mean zero property in order
to establish the orbital ...
A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic
(Sage Publications, 2018)
A class of constitutive relations for elastic bodies has been proposed recently, where the linearized strain tensor is expressed as a nonlinear function of the stress tensor. Considering this new type of constitutive ...
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 ...
Nonlocal anisotropic dispersal with monostable nonlinearity
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008-06-15)
We study the travelling wave problem
J * u - u - cu' + f(u) = 0 in R, u(-infinity) = 0, u(+infinity) = 1
with an asymmetric kernel J and a monostable nonlinearity. We prove the existence of a minimal speed, and under ...
Do electromagnetic waves always propagate along null geodesics?
(IOP Publishing Ltd, 2017)
We find exact solutions to Maxwell equations written in terms of fourvector potentials in non-rotating, as well as in Gdel and Kerr spacetimes. We show that Maxwell equations can be reduced to two uncoupled secondorder ...
Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model
(Cambridge University Press, 2020)
We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole model dynamics. Firstly, we prove the existence ...
Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model
(Cambridge University Press, 2020)
Copyright © Royal Society of Edinburgh 2019.We are revisiting the topic of travelling fronts for the food-limited (FL) model with spatio-temporal nonlocal reaction. These solutions are crucial for understanding the whole ...
Recurrent noise-induced phase singularities in drifting patterns
(American Physical Society, 2015)
We show that the key ingredients for creating recurrent traveling spatial phase defects in drifting patterns are a noise-sustained structure regime together with the vicinity of a phase transition, that is, a spatial region ...
P Wave Azimuthal Anisotropic Tomography in Northern Chile: Insight Into Deformation in the Subduction Zone
(Blackwell Publishing Ltd, 2019)
©2018. American Geophysical Union. All Rights Reserved.Based on a large data set of local body wave travel times, we determined the first 3-D model of azimuthal P wave anisotropic tomography of northern Chile in order to ...
Modeling attenuation and dispersion of acoustic waves in porous media containing immiscible non viscous fluids
(Universidad Nacional de Colombia (Sede Medellín). Facultad de Minas., 2016-10-01)
This paper reports the results of the propagation of P-waves in porous media, simulated by solving the generalized Biot´s equations in finite differences. In saturated models, it was observed that when a wave advances, the ...