Sharp asymptotic estimates for vorticity solutions of the 2D Navier-Stokes equation.
Sigma-convergence of stationary Navier-Stokes type equations.
Simulation of instationary, incompressible flows.
Singular limits for the compressible Euler equation in an exterior domain.
Singular limits for the compressible Euler equation in an exterior domain
Solution de l'équation d'Euler en dimension 2
Solution of a spectral problem for the curl and the Stokes operator with periodic boundary conditions.
Solutions auto-similaires des équations de Navier-Stokes
Solutions des équations de Navier-Stokes incompressibles dans un domaine exterieur.
Nous exposons dans cet article l'analogue de ces résultats d'existence pour l'équation de Navier-Stokes [Cannone (4), Cannone et Planchon (27, 5, 28)], mais sur un domaine extérieur Ωε, complémentaire d'un compact à bord lisse. Les deux difficultés nouvelles qui se présentent sont l'absence d'une représentation explicite en Fourier du semi-groupe associé à l'opérateur de Stokes et la nécessité de transposer la notion d'espace de Besov homogène.
Solutions in the large for certain nonlinear parabolic systems
Solutions statistiques homogènes des équations de Navier-Stokes
Solutions to three-dimensional Navier-Stokes equations for incompressible fluids.
Solvability of a three-dimensional boundary value problem with a free surface for the stationary Navier-Stokes system
Solvability of evolution problems for viscious incompressible flow in domains with non-compact boundaries
Solvability of the Navier-Stokes equations on manifolds with boundary.
Solvability of two stationary free boundary problems for the Navier-Stokes equations
Si studiano due problemi con frontiera libera per equazioni stazionarie di Navier-Stokes: il problema del movimento di un liquido viscoso incomprimibile generato dalla rotazione di una sbarra rigida immersa nel liquido con velocità angolare assegnata e il problema della fuoriuscita di un liquido da un tubo circolare nello spazio libero. Si assegna l'angolo di contatto tra la frontiera libera e la superficie del tubo e, nel secondo problema, il flusso totale del liquido attraverso l'apertura del...
Some application of the implicit function theorem to the stationary Navier-Stokes equations
We prove that - in the case of typical external forces - the set of stationary solutions of the Navier-Stokes equations is the limit of the (full) sequence of sets of solutions of the appropriate Galerkin equations, in the sense of the Hausdorff metric (for every inner approximation of the space of velocities). Then the uniqueness of the N-S equations is equivalent to the uniqueness of almost every of these Galerkin equations.
Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids
Some inverse and control problems for fluids
This paper deals with some inverse and control problems for the Navier-Stokes and related systems. We will focus on some particular aspects that have recently led to interesting (theoretical and numerical) results: geometric inverse problems, Eulerian and Lagrangian controllability and vortex reduction oriented to shape optimization.
Some new existence results for the variable density Navier-Stokes equations