Spatial discretization of an implusive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms.
Spatial heterogeneity in 3D-2D dimensional reduction
A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret (1995). Specific characterizations of the 2D elastic energy are produced. As a generalization of Bouchitté et al. (2002), the case where external loads induce a density of bending moment that produces a Cosserat vector field is also investigated. Throughout, the 3D-2D dimensional reduction is viewed as a problem...
Spatial heterogeneity in 3D-2D dimensional reduction
A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le Dret (1995). Specific characterizations of the 2D elastic energy are produced. As a generalization of Bouchitté et al. (2002), the case where external loads induce a density of bending moment that produces a Cosserat vector field is also investigated. Throughout, the 3D-2D dimensional reduction is viewed as a problem...
Special curved elements and theitr application [Abstract of thesis]
Special exact curved finite elements
Special exact curved finite elements useful for solving contact problems of the second order in domains boundaries of which consist of a finite number of circular ares and a finite number of line segments are introduced and the interpolation estimates are proved.
Special issue dedicated to professor K. R. Rajagopal
Special issue: Editorial [Czech and Slovak Twin Seminar in Applied Mathematics 2006]
Special issue: McNabb symposium. Ed. highlights of a 70th birthday tribute to Alex McNabb, Auckland, New Zealand, February 7--8, 2000. Part 2.
Special issue: McNabb symposium. Ed. highlights of a 70th birthday tribute to Alex McNabb, Auckland, New Zealand, February 7--8, 2000. Part 1.
Special issue: Nonlinear dynamics and their applications to engineering sciences. Selected papers based on the presentations at the conference on nonlinear dynamics (ND-KPI 2004), Kharkow, Ukraine, September 14--16, 2004.
Spectral perturbations in linear viscoelasticity of the Boltzmann type
Spectral properties of a type of integro-differential stiff problems
Spectral/hp elements in fluid structure interaction
This work presents simulations of incompressible fluid flow interacting with a moving rigid body. A numerical algorithm for incompressible Navier-Stokes equations in a general coordinate system is applied to two types of body motion, prescribed and flow-induced. Discretization in spatial coordinates is based on the spectral/hp element method. Specific techniques of stabilisation, mesh design and approximation quality estimates are described and compared. Presented data show performance of the solver...
Stabilisation d'un modèle d'interaction fluide-structure
Stabilisation d’une poutre. Étude du taux optimal de décroissance de l’énergie élastique
On se propose d’étudier la stabilité d’une poutre flexible homogène, encastrée à une extrémité. À l’autre extrémité est attachée une masse ponctuelle où on applique un moment proportionnel à la vitesse de déplacement angulaire. On montre par une analyse spectrale que le taux optimal de décroissance de l’énergie est déterminé par l’abscisse spectrale du générateur infinitésimal du semi-groupe associé au problème.
Stabilisation d'une poutre. Étude du taux optimal de décroissance de l'énergie élastique
We study the stability of a flexible beam clamped at one end. A mass is attached at the other end, where a control moment is applied. The boundary control is proportional to the angular velocity at the end. By spectral analysis, we prove that the optimal decay rate of the energy is given by the spectrum of the generator of the semigroup associated to the system.
Stabilisation exponentielle d’une équation des poutres d’Euler-Bernoulli à coefficients variables
Dans ce travail, nous étudions la propriété de base de Riesz et la stabilisation exponentielle pour une équation des poutres d’Euler-Bernoulli à coefficients variables sous un contrôle frontière linéaire dépendant de la position (resp. l’angle de rotation), de la vitesse et de la vitesse de rotation dans le contrôle force (resp. moment). Nous montrons qu’il existe une suite de fonctions propres généralisées qui forme une base de Riesz de l’espace d’énergie considéré, et qu’il y a stabilité exponentielle...
Stabilisation frontière de problèmes de Ventcel
Stabilisation frontière de problèmes de Ventcel
The problem of boundary stabilization for the isotropic linear elastodynamic system and the wave equation with Ventcel's conditions are considered (see [12]). The boundary observability and the exact controllability were etablished in [11]. We prove here the enegy decay to zero for the elastodynamic system with stationary Ventcel's conditions by introducing a nonlinear boundary feedback. We also give a boundary feedback leading to arbitrarily large energy decay rates for the elastodynamic system...
Stabilisation uniforme d’une équation des poutres d’Euler-Bernoulli
Dans ce travail, nous étudions une équation des poutres d’Euler-Bernoulli, on contrôle par combinaison linéaire de vitesse et vitesse de rotation appliquées à l’une des extrémités du système. Tout d’abord nous montrons que le problème est bien posé et qu’il y a stabilité uniforme sous certaines conditions portant sur les coefficients de feedback. Puis nous estimons le taux optimal de décroissance de l’énergie du système par la méthode de Shkalikov.