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Artículo
Continuity and topological structural stability for nonautonomous random attractors
(World scientific, 2021-09-29)
In this work, we study the continuity and topological structural stability of attractors for nonautonomous random differential equations obtained by small bounded random perturbations of autonomous semilinear problems. ...
Artículo
About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
(MDPI, 2021)
In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of the Cauchy problem. First, we ...
Artículo
On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
(Springer, 2021-02-09)
The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the ...
Artículo
Statistical solution and Liouville type theorem for the Klein-Gordon-Schrödinger equations
(Elsevier [Commercial Publisher], Academic Press [Associate Organisation], 2021-01-28)
In this article, the authors investigate the system of Schr odinger and Klein-Gordon equations with Yukawa coupling. They rst prove the existence of pullback attractor and construct a family of invariant Borel probability ...
Artículo
A free boundary tumor model with time dependent nutritional supply
(Elsevier, 2020-06)
A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential ...
Artículo
Fluid vesicles with internal nematic order
(Elsevier, 2020-10-22)
Models of flows containing vesicles membranes with liquid crystalline phases have been widely studied in recent times due to its connection with biological applications. In this work we propose a new model to represent ...
Artículo
Homogenization of an elastodynamic system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior
(Elsevier, 2020-12-15)
In this paper we study homogenization of a linear system of elastodynamics in an elastic body with soft inclusions, which is embedded in a highly oscillating magnetic field. We show two limits behaviors according to the ...
Artículo
Approximation of null controls for semilinear heat equations using a least-squares approach
(E.D.P. Sciences, 2021-05-03)
Tesis Doctoral
A contribution to the analysis of time fractional stochastic functional partial differential equations and applications
(2020-05-20)
On the one hand, the classical heat equation∂tu= ∆udescribes heatpropagation in a homogeneous medium, while the time fractional diffusionequation∂αtu= ∆uwith 0< α <1 has been widely used to model anoma-lous diffusion ...
Artículo
Stability analysis of stochastic 3D Lagrangian-averaged Navier-Stokes equations with infinite delay
(Springer, 2021-07-23)
The asymptotic behaviour of stochastic three-dimensional Lagrangian-averaged Navier-Stokes equations with infinite delay and nonlinear hereditary noise is analysed. First, using Galerkin’s approximations and the monotonicity ...