Asymptotique des résonances pour des obstacles
Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée
Asymptotique semi-classique pour la densité spectrale locale d'opérateurs de Schrödinger (d'après D. Robert et H. Tamura)
Asymptotiques de Lifshitz
Cet exposé a pour but de présenter des résultats récents de l’auteur concernant les asymptotiques de Lifshitz pour des perturbations aléatoires d’opérateurs de Schrödinger périodiques. Certains de ces résultats ont été obtenus en collaboration avec T. Wolff.
Asymptotiques spectrales pour l'opérateur de Schrödinger avec un potentiel électromagnétique
Asynchronous domain decomposition methods for dam and continuous casting problems
Asypmtotic Behaviour in Lr for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.
Atherosclerosis Initiation Modeled as an Inflammatory Process
In this work we study the inflammatory process resulting in the development of atherosclerosis. We develop a one- and two-dimensional models based on reaction-diffusion systems to describe the set up of a chronic inflammatory response in the intima of an artery vessel wall. The concentration of the oxidized low density lipoproteins (ox-LDL) in the intima is the critical parameter of the model. Low ox-LDL concentrations do not lead to a chronic inflammatory reaction. Intermediate ox-LDL concentrations...
Atomistic to Continuum limits for computational materials science
The present article is an overview of some mathematical results, which provide elements of rigorous basis for some multiscale computations in materials science. The emphasis is laid upon atomistic to continuum limits for crystalline materials. Various mathematical approaches are addressed. The setting is stationary. The relation to existing techniques used in the engineering literature is investigated.
ATP Production and Necrosis Formation in a Tumour Spheroid Model
Mathematical models of tumour spheroids, proposed since the early seventies, have been generally formulated in terms of a single diffusive nutrient which is critical for cell replication and cell viability. Only recently, attempts have been made to incorporate in the models the cell energy metabolism, by considering the interplay between glucose, oxygen and lactate (or pH). By assuming glucose and lactate as the only fuel substrates, we propose a simple model for the cell ATP production which takes...
Attracteurs compacts pour des problèmes d'évolution sans unicité
Attractivity of nonlinear impulsive delay differential equations.
Attractor for a Navier-Stokes flow in an unbounded domain
Attractor for a viscous coupled Camassa-Holm equation.
Attractor of a semi-discrete Benjamin-Bona-Mahony equation on ℝ¹
This paper is concerned with the study of the large time behavior and especially the regularity of the global attractor for the semi-discrete in time Crank-Nicolson scheme to discretize the Benjamin-Bona-Mahony equation on ℝ¹. Firstly, we prove that this semi-discrete equation provides a discrete infinite-dimensional dynamical system in H¹(ℝ¹). Then we prove that this system possesses a global attractor in H¹(ℝ¹). In addition, we show that the global attractor is regular, i.e., is actually...
Attractors for a class of doubly nonlinear parabolic systems.
Attractors for general operators
In this article we introduce the notion of a minimal attractor for families of operators that do not necessarily form semigroups. We then obtain some results on the existence of the minimal attractor. We also consider the nonautonomous case. As an application, we obtain the existence of the minimal attractor for models of Cahn-Hilliard equations in deformable elastic continua.
Attractors for nonautonomous multivalued evolution systems generated by time-dependent subdifferentials.
Attractors for stochastic reaction-diffusion equation with additive homogeneous noise
We study the asymptotic behaviour of solutions of a reaction-diffusion equation in the whole space driven by a spatially homogeneous Wiener process with finite spectral measure. The existence of a random attractor is established for initial data in suitable weighted -space in any dimension, which complements the result from P. W. Bates, K. Lu, and B. Wang (2013). Asymptotic compactness is obtained using elements of the method of short trajectories.
Attractors of a Schrödinger-Poisson system