Solution of the system of differential equations related to Marangoni convections in one fluid layer.
Solutions auto-similaires des équations de Navier-Stokes
Solutions faibles pour des problèmes d’interaction fluide-structure
Nous présentons dans cette note une nouvelle façon d’aborder les questions d’existence de solutions faibles pour certains problèmes d’interaction fluide-structure. Dans l’état actuel, cette approche permet de traiter le cas de solides rigides ou très faiblement déformables, immergés dans un fluide visqueux incompressible ou dans un fluide visqueux compressible dont l’évolution est isentropique.
Solutions in the large for certain nonlinear parabolic systems
Solutions statistiques homogènes des systèmes différentiels paraboliques et du système 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 estimates for the anisotropic Navier-Stokes equations and for the hydrostatic approximation
Some globally stable approximations for the Navier-Stokes equations and for some other equations of viscous incompressible fluids
Some implementations of projection methods for Navier-Stokes equations
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
Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
Some optimal control problems of multistate equations appearing in fluid mechanics
Some remarks on Prandtl system
The purpose of this paper is to correct some drawbacks in the proof of the well-known Boundary Layer Theory in Oleinik’s book. The Prandtl system for a nonstationary layer arising in an axially symmetric incopressible flow past a solid body is analyzed.
Some Remarks on the Boundary Conditions in the Theory of Navier-Stokes Equations
This article addresses some theoretical questions related to the choice of boundary conditions, which are essential for modelling and numerical computing in mathematical fluids mechanics. Unlike the standard choice of the well known non slip boundary conditions, we emphasize three selected sets of slip conditions, and particularly stress on the interaction between the appropriate functional setting and the status of these conditions.