Poches de tourbillon à bord singulier
Poches de tourbillon singulières dans un fluide faiblement visqueux.
In this paper, we study the singular vortex patches in the two-dimensional incompressible Navier-Stokes equations. We show, in particular, that if the initial vortex patch is C1+s outside a singular set Σ, so the velocity is, for all time, lipschitzian outside the image of Σ through the viscous flow. In addition, the correponding lipschitzian norm is independent of the viscosity. This allows us to prove some results related to the inviscid limit for the geometric structures of the vortex patch.
Poches de tourbillon visqueuses
Point fixe d'une application non contractante.
We study a multilinear fixed-point equation in a closed ball of a Banach space where the application is 1-Lipschitzian: existence, uniqueness, approximations, regularity.
Pointwise bounds on the asymptotics of spherically averaged -solutions of one-body Schrödinger equations
Poisson relation for the scattering kernel and inverse scattering by obstacles
Poisson-Lie groups and complete integrability. I. Drinfeld bigebras, dual extensions and their canonical representations
Polynomial solutions to the Hele--Shaw problem.
Positive periodic solutions for the Korteweg-de Vries equation.
Positive solutions for nonlinear Schrödinger equations with deepening potential well
Positivity theorem
Potential Scattering in a Homogeneous Electrostatic Field.
Power series solution for the modified KdV equation.
Prediction-correction legendre spectral scheme for incompressible fluid flow
The initial-boundary value problem of two-dimensional incompressible fluid flow in stream function form is considered. A prediction-correction Legendre spectral scheme is proposed, which is easy to be performed. The numerical solution possesses the accuracy of second-order in time and higher order in space. The numerical experiments show the high accuracy of this approach.
Predictive extension of a singular lagrangian system
Prescribing mean curvature: existence and uniqueness problems.
Pressure conditions for the local regularity of solutions of the Navier-Stokes equations.
Preuve de la conjecture de Lieb-Thirring dans le cas des potentiels quadratiques strictement convexes
Probabilistic analysis of singularities for the 3-D Navier-Stokes equations
Probabilistic analysis of singularities for the 3D Navier-Stokes equations
The classical result on singularities for the 3D Navier-Stokes equations says that the -dimensional Hausdorff measure of the set of singular points is zero. For a stochastic version of the equation, new results are proved. For statistically stationary solutions, at any given time , with probability one the set of singular points is empty. The same result is true for a.e. initial condition with respect to a measure related to the stationary solution, and if the noise is sufficiently non degenerate...