Prescription de la forme volume
Pressure conditions for the local regularity of solutions of the Navier-Stokes equations.
Pressure jumps in the dam problems
Preuve de la conjecture de Lieb-Thirring dans le cas des potentiels quadratiques strictement convexes
Pricing multi-asset financial derivatives with time-dependent parameters -- Lie algebraic approach.
Principe de Harnack à la frontière et théorème de Fatou pour un opérateur elliptique dans un domaine lipschitzien
L’article étudie le compactifié de Martin d’un domaine lipschitzien relativement à un opérateur elliptique à coefficients hödériens ; on étend aux fonctions -harmoniques et aux fonctions -harmoniques adjointes sur une estimation de -Carleson pour le cas , puis on établit un “principe de Harnack à la frontière” comparant l’allure à la frontière de fonctions -harmoniques sur . Conséquences : , et normalisée en ; un théorème de type Fatou-Doob sur l’existence de limites angulaires.On...
Principe de Huygens et trajectoires classiques complexes ou Balian et Bloch vingt ans après
Principe d'extremum relatif aux solutions de l'équation intégro-différentielle du processus stochastique markovien mixte
Principe d'incertitude et microlocalisation
Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minimales
Principio di massimo forte per sottosoluzioni di equazioni ellittiche di tipo variazionale.
Principio Inverso Del Maximo Para Ecuaciones Parabolicas Periodicas.
Prion proliferation with unbounded polymerization rates.
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...
Probabilistic interpretation and random walk on spheres algorithms for the Poisson-Boltzmann equation in molecular dynamics
Motivated by the development of efficient Monte Carlo methods for PDE models in molecular dynamics, we establish a new probabilistic interpretation of a family of divergence form operators with discontinuous coefficients at the interface of two open subsets of . This family of operators includes the case of the linearized Poisson-Boltzmann equation used to compute the electrostatic free energy of a molecule. More precisely, we explicitly construct a Markov process whose infinitesimal generator...
Probabilistic well-posedness for the cubic wave equation
The purpose of this article is to introduce for dispersive partial differential equations with random initial data, the notion of well-posedness (in the Hadamard-probabilistic sense). We restrict the study to one of the simplest examples of such equations: the periodic cubic semi-linear wave equation. Our contributions in this work are twofold: first we break the algebraic rigidity involved in our previous works and allow much more general randomizations (general infinite product measures v.s. Gibbs...
Probability & incompressible Navier-Stokes equations: an overview of some recent developments.
Probing methods for saddle-point problems.
Problema di Cauchy semiglobale in due variabili