Analyse 2-microlocale et équations d'Euler incompressible
Approximate solutions of the incompressible Euler equations with no concentrations
Calcul de la solution élémentaire de l'opérateur d'Euler-Poisson-Darboux et de l'opérateur de Tricomi-Clairaut, hyperbolique, d'ordre 2
Cascade of phases in turbulent flows
This article is devoted to incompressible Euler equations (or to Navier-Stokes equations in the vanishing viscosity limit). It describes the propagation of quasi-singularities. The underlying phenomena are consistent with the notion of a cascade of energy.
Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
In this paper we investigate the motion of a rigid ball in an incompressible perfect fluid occupying . We prove the global in time existence and the uniqueness of the classical solution for this fluid-structure problem. The proof relies mainly on weighted estimates for the vorticity associated with the strong solution of a fluid-structure problem obtained by incorporating some dissipation.
Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
In this paper we investigate the motion of a rigid ball in an incompressible perfect fluid occupying . We prove the global in time existence and the uniqueness of the classical solution for this fluid-structure problem. The proof relies mainly on weighted estimates for the vorticity associated with the strong solution of a fluid-structure problem obtained by incorporating some dissipation.
Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations.
Das Goursat-Problem für
Dissipation d’énergie pour des solutions faibles des équations d’Euler et Navier-Stokes incompressibles
On étudie l’équation locale de l’énergie pour des solutions faibles des équations d’Euler et Navier-Stokes incompressibles tridimensionnelles. On explicite un terme de dissipation provenant de l’éventuel défaut de régularité de la solution. On donne au passage une preuve simple de la conjecture d’Onsager, améliorant un peu l’hypothèse de [1]. On propose une notion de solution dissipative pour de telles solutions faibles.
Existence of Local Smooth Solution for a Generalized Zakharov System.
Existence of strong solutions for nonisothermal Korteweg system
This work is devoted to the study of the initial boundary value problem for a general non isothermal model of capillary fluids derived by J. E Dunn and J. Serrin (1985) in [9, 16], which can be used as a phase transition model.We distinguish two cases, when the physical coefficients depend only on the density, and the general case. In the first case we can work in critical scaling spaces, and we prove global existence of solution and uniqueness for data close to a stable equilibrium. For general...
Gradient Estimates and Mean Curvatures.
Injectivity of the spherical mean operator on the conical manifolds of spheres.
Limite incompressible des équations d’Euler non isentropiques
No production of entropy in the Euler fluid
We derive the Euler equations as the hydrodynamic limit of a stochastic model of a hard-sphere gas. We show that the system does not produce entropy.
Nonlinear stationary surface waves above an underwater ridge.
On blow-up of solution for Euler equations
We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.
On blow-up of solution for Euler equations
We present numerical evidence for the blow-up of solution for the Euler equations. Our approximate solutions are Taylor polynomials in the time variable of an exact solution, and we believe that in terms of the exact solution, the blow-up will be rigorously proved.
On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation
We discretize the nonlinear Schrödinger equation, with Dirichlet boundary conditions, by a linearly implicit two-step finite element method which conserves the norm. We prove optimal order a priori error estimates in the and norms, under mild mesh conditions for two and three space dimensions.
On the convergence of a linear two-step finite element method for the nonlinear Schrödinger equation
We discretize the nonlinear Schrödinger equation, with Dirichlet boundary conditions, by a linearly implicit two-step finite element method which conserves the L2 norm. We prove optimal order a priori error estimates in the L2 and H1 norms, under mild mesh conditions for two and three space dimensions.