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Artículo
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
(Société de Mathématiques Appliquées et Industrielles (SMAI), 2020-03)
In this paper, we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term in a bidimensional domain. The existence, uniqueness and regularity of strong solutions of this ...
Artículo
Existence and exponential stability for neutral stochastic integro-differential equations with impulses driven by a Rosenblatt process
(American Institute of Mathematical Sciences (AIMS), 2020-02)
The existence and uniqueness of mild solution of an impulsive stochastic system driven by a Rosenblatt process is analyzed in this work by using the Banach fixed point theorem and the theory of resolvent operator developed ...
Artículo
Dynamics of a continuous Hénon model
(Wiley, 2018)
We study a continuous Hénon system obtained by considering the discrete original model in continuous time. While the dynamics of the continuous model is trivial, we are able to recover the complexity of the discrete model ...
Artículo
New phenomena for the null controllability of parabolic systems: Minimal time and geometrical dependence
(Elsevier, 2016-12-15)
We consider the null controllability problem for two coupled parabolic equations with a space-depending coupling term. We analyze both boundary and distributed null controllability. In each case, we exhibit a minimal time ...
Artículo
The Oseen and Navier-Stokes equations in a non-solenoidal framework
(Wiley, 2014-12-11)
The very weak solution for the Stokes, Oseen and Navier-Stokes equations has been studied by several authors in the last decades in domains of Rn, n ≥ 2. The authors studied the Oseen and Navier-Stokes problems assuming a ...
Artículo
Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term
(Springer, 2020)
In this paper we establish a strong comparison principle for a nonautonomous differential inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of the global attractor in both the ...
Artículo
Homogenization of systems with equi-integrable coefficients
(EDP Sciences, 2014)
In this paper we prove a H-convergence type result for the homogenization of systems the coefficients of which satisfy a functional ellipticity condition and a strong equi-integrability condition. The equi-integrability ...
Artículo
Computational modeling of Gurney flaps and microtabs by POD method
(MDPI, 2018-08)
Gurney flaps (GFs) and microtabs (MTs) are two of the most frequently used passive flow control devices on wind turbines. They are small tabs situated close to the airfoil trailing edge and normal to the surface. A study ...
Artículo
Asymptotic behavior of the Navier-Stokes system in a thin domain with Navier condition on a slightly rough boundary
(Society for Industrial and Applied Mathematics, 2013)
We study the asymptotic behavior of the solutions of the Navier–Stokes system in a thin domain Ωε of thickness ε satisfying the Navier boundary condition on a periodic rough set Γε ⊂ ∂Ωε of period rε and amplitude δε, with ...
Artículo
A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian
(Elsevier, 2016-04-05)
In this paper a new div-curl result is established in an open set Ω of R N , N ≥ 2, for the product of two sequences of vector-valued functions which are bounded respectively in Lp (Ω)N and Lq (Ω)N , with 1/p + 1/q = 1 + ...