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Now showing items 11-20 of 29
Article
Weak-renormalized solutions for a system that models non-isothermal solidification
(Sociedad Española de Matemática Aplicada, 2012-07)
The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq kind. This system may be regarded as a modified version of the non-isothermal solidification problem ...
Article
A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
(Springer, 2009-06)
We present a generalization of the Kalman rank condition to the case of non linear parabolic systems with constant coefficients and diagonalizable diffusion matrix. To reach the result, we are led to prove a global ...
Article
Weak time regularity and uniqueness for a Q-Tensor model
(Society for Industrial and Applied Mathematics, 2014)
The coupled Navier-Stokes and Q-Tensor system is one of the models used to describe the behavior of the nematic liquid crystals. The existence of weak solutions and a uniqueness criteria have been already studied (see [11] ...
Article
A mixed formulation for the direct approximation of L2-weighted controls for the linear heat equation
(Springer, 2016-02)
This paper deals with the numerical computation of null controls for the linear heat equation. The goal is to compute approximations of controls that drive the solution from a prescribed initial state to zero at a given ...
Article
Some non-local population models with non-linear diffusion
(Elsevier, 2011)
In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.
Presentation
Homogenization of the Poisson equation with Dirichlet conditions in random perforated domains
(Computational and Mathematical Methods in Science and Engineering, 2013)
Article
Numerical approximation of a one-dimensional elliptic optimal design problem
(Society for Industrial and Applied Mathematics, 2011)
We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in one space dimension. This problem, in the continuous setting, due to high frequency oscillations, ...
Article
A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications
(Elsevier, 2016-02)
In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following where Ω is a smooth bounded domain of RN (N≥3), β,μ≥0, 0<α,γ<1 and regular ...
Article
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 ...
Article
Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences
(Elsevier, 2014-10-01)
Let (A, D(A)) a diagonalizable generator of a C0−semigroup of contractions on a complex Hilbert space X, B2L(C, Y ), Y being some suitable extrapolation space of X, and u 2 L2 (0, T; C). Under some assumptions on the ...