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Artículo
Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay
(International Press, 2017)
We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method. Actually, we also ...
Artículo
Dynamics of a class of ODEs via wavelets
(American Institute of Mathematical Sciences, 2017-11)
The objective of this paper is to study a perturbed linear hyperbolic differential equation. The first part of this work is dedicated to study perturbation of the equilibrium (special solution) of a perturbed hyperbolic system. ...
Artículo
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
(American Institute of Mathematical Sciences, 2017-07)
We show existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation with infinite delay terms, analyzing the asymptotic behaviour in the pullback sense and obtaining global exponential decay ...
Artículo
Dynamics of wave equations with moving boundary
(Elsevier, 2017-03-05)
This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically ...
Artículo
Pullback, forward and chaotic dynamics in 1-D non-autonomous linear-dissipative equations
(IOP Publishing, 2017-01)
The global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour of the model. This attractor is usually characterized as the union, for all the parameters in ...