Problème de Cauchy et diffusion à données petites pour les modèles discrets de la cinétique des gaz
Problème de la surface libre de l'équation de Navier-Stokes —Cas stationnaire et cas périodique—
Problème de Stokes et système de Navier-Stokes incompressible à densité variable dans le demi-espace
On s’intéresse à la résolution du système de Navier-Stokes incompressible à densité variable dans le demi-espace en dimension On considère des données initiales à régularité critique. On établit que si la densité initiale est proche d’une constante strictement positive dans et si la vitesse initiale est petite par rapport à la viscosité dans l’espace de Besov homogène alors le système de Navier-Stokes admet une unique solution globale. La démonstration repose sur de nouvelles estimations...
Problèmes à frontière libre en hydraulique : milieux non homogènes
Problèmes unilatéraux pour des équations non linéaires de convection-réaction
Problemi di magnetodinamica in un fluido conduttore soggetto a compressione crescente
Problems of Method in Levi-Civita’s Contributions to Hydrodynamics
Levi-Civita made important contributions to hydrodynamics: he solved D’Alembert’s paradox, introduced the “wake hypothesis”, deduced the general integral of any plane motion involving a wake, and gave a rigorous proof of the existence of the irrotational wave in a canal of finite depth. In this paper, we investigate Levi-Civita’s results in this area, and connect them to the methods of the new theory of integral equations. Finally, we give some information on Levi-Civita’s students. In our paper,...
Procédé pour la solution du problème d'écoulement à travers la grille du profil.
Procede Pour La Solution Du Probleme Direct D'Ecoulement A Travers La Grille Du Profil
Proceedings of EQUADIFF 10, Prague, August 27–31, 2001. Preface.
Proceedings of the 2nd Summer Conference Numerical Modelling in Continuum Mechanics. Preface
Proceedings of the 9th Seminar Programs and Algorithms of Numerical Mathematics. Preface
Processi di filtrazione in un mezzo poroso con interazioni fra il liquido e la matrice porosa
A model of filtration in a multispecies porous medium accompanied by a strong interaction between the flow and the porous matrix is presented. The species removed by the flow are both fine particles and other substances which diffuse in the liquid. The accumulation of the migrating particles in proximity of the outflow surface gives rise to the formation of a compact layer with high hydraulic resistance. The corresponding mathematical model consists in a set of partial differential equations of...
Productivity formulas for a partially penetrating vertical well in a circular cylinder drainage volume.
Produits rapides matrice-vecteur en bases d'ondelettes : application à la résolution numérique d'équations aux dérivés partielles
Profile decomposition for solutions of the Navier-Stokes equations
We consider sequences of solutions of the Navier-Stokes equations in , associated with sequences of initial data bounded in . We prove, in the spirit of the work of H.Bahouri and P.Gérard (in the case of the wave equation), that they can be decomposed into a sum of orthogonal profiles, bounded in , up to a remainder term small in ; the method is based on the proof of a similar result for the heat equation, followed by a perturbation–type argument. If is an “admissible” space (in particular ...
Proof of the double bubble conjecture.
Propagation of chaos for the 2D viscous vortex model
We consider a stochastic system of particles, usually called vortices in that setting, approximating the 2D Navier-Stokes equation written in vorticity. Assuming that the initial distribution of the position and circulation of the vortices has finite (partial) entropy and a finite moment of positive order, we show that the empirical measure of the particle system converges in law to the unique (under suitable a priori estimates) solution of the 2D Navier-Stokes equation. We actually prove a slightly...
Propagation of Rossby waves in stratified shear flows.
Propagation of seismic waves in block elastic-fluid media. III.