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10 papers · 2 filters
The compressible Euler system with nonlocal pressure: Global existence and relaxation
Raphael Danchin, Piotr Boguslaw Mucha
We here investigate a modification of the compressible barotropic Euler system with friction, involving a fuzzy nonlocal pressure term in place of the conventional one. This nonloc…
Transverse parabolic structures and transverse BGG sequences
Clément Cren
Manifolds endowed with a parabolic geometry in the sense of Cartan come with natural sequences of differential operators and their analysis provide the so called (curved) BGG seque…
Exponential decay results for compressible viscous flows with vacuum
Raphaël Danchin, Shan Wang
We are concerned with the isentropic compressible Navier-Stokes system in the two-dimensional torus, with rough data and vacuum : the initial velocity is in the Sobolev space H^1 a…
Improved regularity for the stochastic fast diffusion equation
Ioana Ciotir, Dan Goreac, Jonas M. Tölle
We prove that the solution to the singular-degenerate stochastic fast-diffusion equation with parameter , with zero Dirichlet boundary conditions on a bounded domain in…
A Stochastic Porous Media Schr{ö}dinger Equation: Feynman-type Motivation, Well-Posedness and Control Interpretation
Ioana Ciotir, Dan Goreac, Juan Li +1
This paper's aim is threefold. First, using Feynman's path approach to the derivation of theclassical Schr{ö}dinger's equation in [6] and by introducing a slight path (or wave) dep…
Quasi-invariance of Gaussian measures for the energy critical nonlinear Schr\" odinger equation
Chenmin Sun, Nikolay Tzvetkov
We consider the energy critical nonlinear Schr\" odinger equation with data distributed according to the Gaussian measure with covariance operator , where is t…