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Artículo
Three Dimensional System of Globally Modified Navier-Stokes Equations with Infinite Delays
(American Institute of Mathematical Sciences, 2010)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional ...
Artículo
Asymptotic approach to the generalized Brinkman’s equation with pressure dependent viscosity and drag coefficient
(Regional Information Center for Science and Technology, 2016)
In this paper we investigate the fluid flow through a thin (or long) channel filled with a fluid saturated porous medium. We are motivated by some important applications of the porous medium flow in which the viscosity of ...
Artículo
A geometric inverse problem for the Boussinesq system
(American Institute of Mathematical Sciences, 2006-11)
In this work we present some results for the inverse problem of the identification of a single rigid body immersed in a fluid governed by the stationary Boussinesq equations. First, we establish a uniqueness result. Then, ...
Artículo
Some remarks on an environmental defensive expenditures model
(American Institute of Mathematical Sciences, 2019-03)
In this paper, we consider the environmental defensive expenditures model with delay proposed by Russu in P. Russu, Hopf bifurcation in a environmental defensive expenditures model with time delay, Chaos, Solitons and ...
Artículo
A viscous fluid in a thin domain satisfying the slip condition on a slightly rough boundary
(Elsevier, 2010-08-11)
We consider a viscous fluid of small height ε on a periodic rough bottom Γε of period rε and amplitude δε, δε rε ε, where we impose the slip boundary condition. When ε tends to zero we obtain a Reynolds system depending ...
Artículo
Dynamics of Nonautomous Impulsive Multivalued Processes
(Springer, 2023-02-10)
In this paper we study the asymptotic behaviour of multivalued processes which are under the influence of impulsive action. We provide conditions to guarantee the existence of a pullback attractor and we illustrate the ...
Artículo
A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation
(Springer, 2012-05)
We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via a fluctuation splitting algorithm. We prove a posteriori error estimates which allow us to perform ...
Artículo
Attractors for a Double Time-Delayed 2D-Navier-Stokes Model
(American Institute of Mathematical Sciences, 2014)
In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We ...
Artículo
Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
(Springer, 2008-07)
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative solutions to the semilinear elliptic equation −∆u = λu − u p in Ω, with the nonlinear boundary condition ...
Artículo
Morse decomposition of global attractors with infinite components
(2015)
In this paper we describe some dynamical properties of a Morse decomposition with a countable number of sets. In particular, we are able to prove that the gradient dynamics on Morse sets together with a separation assumption ...