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Least-perimeter partitions of the disk
(Real Sociedad Matemática Española, 2004)
In this work we study the isoperimetric problem of partitioning a planar disk into n regions of prescribed areas using the least-possible perimeter. We obtain the regularity conditions that must be satisfied by the ...
Artículo
Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity : Existence, stability and dynamics
(2008)
The present work examines in detail the existence, stability and dynamics of travelling solitary waves in a Schrödinger lattice with saturable nonlinearity. After analysing the linear spectrum of the problem in the travelling ...
Artículo
Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays
(2003)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of ...
Artículo
An energetically consistent viscous sedimentation model
(World Scientific Publishing, 2009)
In this paper we consider a two dimensional viscous sedimentation model which is a viscous Shallow-Water system coupled with a di usive equation that describes the evolution of the bottom. For this model, we prove the ...
Artículo
On the isoperimetric problem in Euclidean space with density
(Springer, 2008)
We study the isoperimetric problemfor Euclidean space endowedwith a continuous density. In dimension one, we characterize isoperimetric regions for a unimodal density. In higher dimensions, we prove existence results and ...
Artículo
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
(EDP Sciences, 2009)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly ...
Artículo
Relating disease and predation: equilibria of an epidemic model
(Wiley, 2005)
In this paper, we would like compare the spread of an infectious disease in a population without the influence of a predator and under its influence. We show that it is possible to control an epidemic in a population with ...
Artículo
Vortex solutions of the discrete Gross-Pitaevskii equation starting from the anti-continuum limit
(2009)
In this paper, we consider the existence, stability and dynamical evolution of dark vortex states in the two-dimensional defocusing discrete nonlinear Schrödinger model, a model of interest both to atomic physics and to ...
Artículo
Stability of Nonlinear Functional Stochastic Evolution Equations of Second Order in Time
(2006)
Sufficient conditions for exponential mean square stability of solutions to delayed stochastic partial differential equations of second order in time are established. As a consequence of these results, the pathwise exponential ...
Artículo
Stable and Isoperimetric Regions in Rotationally Symmetric Tori with Decreasing Gauss Curvature
(Indiana University Mathematics Department, 2007)
In this work we classify the stable regions (second order minima of perimeter under an area constraint) in tori of revolution with piecewise continuous decreasing Gauss curvature from the longest parallel and with a ...