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Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
(2013)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a Poincar´e-like domain has a unique random attractor. One of the technical problems associated with ...
Ponencia
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A gradient-like non autonomous evolution process
(2009)
In this paper we consider a dissipative damped wave equation with non-autonomous damping of the form utt + ¯(t)ut = ¢u + f(u) (1) in a bounded smooth domain ½ Rn with Dirichlet boundary conditions, where f is a ...
Artículo
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Homogenization of convex functionals which are weakly coercive and not equi-bounded from above
(Elsevier, 2013-08-01)
This paper deals with the homogenization of nonlinear convex energies defined in W_{0}^{1,1}(\Omega )W01,1(Ω), for a regular bounded open set Ω of \mathbb{R}^{N}RN, the densities of which are not equi-bounded from above, ...
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Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion
(Taylor & Francis, 2016)
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved. The approach is based on Perov’s fixed point ...
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Stabilized schemes for the hydrostatic Stokes equations
(Society for Industrial and Applied Mathematics, 2015)
Some new stable finite element (FE) schemes are presented for the hydrostatic Stokes system or primitive equations of the ocean. It is known that the stability of the mixed formulation approximation for primitive equations ...
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Addendum To "Global Attractors for Multivalued Random Dynamical Systems'' [Nonlinear Analysis 48(2002) 805-829]
(2005)
The aim of this note is to clarify a misleading statement which appeared in our fi rst paper dealing with the concept of global random attractor for multivalued random dynamical systems, as well as in the subsequent work
Artículo
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Stability of some turbulent vertical models for the ocean mixing boundary layer
(Elsevier, 2008-02)
We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.
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Time and space parallelization of the Navier-Stokes equations
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2005)
In this paper, we will be mainly concerned with a parallel algorithm (in time and space) which is used to solve the incompressible Navier-Stokes problem. This relies on two main ideas: (a) a splitting of the main differential ...
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Switching Controls for Analytic Semigroups and Applications to Parabolic Systems
(SIAM, 2021-08-05)
In this work, we extend the analysis of the problem of switching controls proposedin [E. Zuazua,J. Eur. Math. Soc. (JEMS), 13 (2011), pp. 85--117]. The problem asks the followingquestion: Assuming that one can control a ...