The effect of thin coatings on second harmonic generation.
The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator.
The interface crack with Coulomb friction between two bonded dissimilar elastic media
We study a model of interfacial crack between two bonded dissimilar linearized elastic media. The Coulomb friction law and non-penetration condition are assumed to hold on the whole crack surface. We define a weak formulation of the problem in the primal form and get the equivalent primal-dual formulation. Then we state the existence theorem of the solution. Further, by means of Goursat-Kolosov-Muskhelishvili stress functions we derive convergent expansions of the solution near the crack tip.
The level crossing problem in semi-classical analysis I. The symmetric case
We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
The level crossing problem in semi-classical analysis. II. The Hermitian case
This paper is the second part of the paper ``The level crossing problem in semi-classical analysis I. The symmetric case''(Annales de l'Institut Fourier in honor of Frédéric Pham). We consider here the case where the dispersion matrix is complex Hermitian.
The mathematical theory of low Mach number flows
The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
The mathematical theory of low Mach number flows
The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)
We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II)
We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
The topological derivative of the Dirichlet integral under formation of a thin ligament.
Transition layer for the heterogeneous Allen–Cahn equation
Transverse evolution operator for the Gross-Pitaevskii equation in semiclassical approximation.
Trapping obstacles with nonhyperbolic periodic ray, asymptotic behaviour of solutions.
Two problems in homogenization of porous media.
The main goal of this work is to present two different problems arising in Fluid Dynamics of perforated domains or porous media. The first problem concerns the compressible flow of an ideal gas through a porous media and our goal is the mathematical derivation of Darcy's law. This is relevant in oil reservoirs, agriculture, soil infiltration, etc. The second problem deals with the incompressible flow of a fluid reacting with the exterior of many packed solid particles. This is related with absorption...
Una classe di soluzioni asintotiche per una equazione ellittica degenere
Une justification de modèles de plaques viscoplastiques
Uniqueness and stability of regional blow-up in a porous-medium equation
Viscous profiles of vortex patches
Weak asymptotic method for the study of propagation and interaction of infinitely narrow -solitons.
WKB analysis for the Gross-Pitaevskii equation with non-trivial boundary conditions at infinity