-
An analytical framework for the numerical homogenization of monotone elliptic...
International audience -
A variational study of some hadron bag models
Quantum chromodynamics (QCD) is the theory of strong interaction and accounts for the internal structure of hadrons. Physicists introduced phe- nomenological models... -
Dimensional reduction for heterogeneous, slit or cracked bodies
Andrea BRAIDES : Rapporteur Antonin CHAMBOLLE : Rapporteur Gilles FRANCFORT : Directeur de thèse Olivier LAFITTE : Examinateur Hervé LE DRET : Examinateur Jean-Jacques MARIGO :... -
A Remark on the Anisotropic Outer Minkowski content
We corrected an error in the orignal manuscript, on p. 14 (the boundaries of the regularized sets are not necessarily C^{1,1}) -
A quasistatic evolution model for the interaction between fracture and damage
International audience -
A minimal interface problem arising from a two component Bose Einstein conden...
We consider the energy modeling a two component Bose-Einstein condensate in the limit of strong coupling and strong segregation. We prove the $\Gamma$-convergence to a... -
Static ferromagnetic materials: from the microscopic to the mesoscopic scale
International audience -
Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing ...
Motivated by models of fracture mechanics, this paper is devoted to the analysis of a unilateral gradient flow of the Ambrosio-Tortorelli functional, where... -
Some mathematical models of junctions
This thesis is devoted to the mathematical study of two kinds of junction problems. The first model is obtained as the variational limit of a junction problem in the... -
Mathematical modeling of some mechanics problems by homogenization
We study some singular problems of homogenization in linearized elasticity or nonlinear electricity where in addition to the period of the distribution of... -
Bernoulli variational problem and beyond
International audience -
Lazy random walks and optimal transport on graphs
International audience -
Scaling law and reduced models for epitaxially strained crystalline films
A variational model for the epitaxial deposition of a film on a rigid substrate in the presence of a crystallographic misfit is studied. The scaling behavior of the... -
Approximation of length minimization problems among compact connected sets
In this paper we provide an approximation à la Ambrosio-Tortorelli of some classical minimization problems involving the length of an unknown one-dimensional set, with... -
A Modica-Mortola approximation for the Steiner Problem
In this note we present a way to approximate the Steiner problem by a family of elliptic energies of Modica-Mortola type, with an additional term relying on the...
