9 papers
An effective energy-enstrophy diffusion process with a condensation bound
Alain-Sol Sznitman, Klaus Widmayer
We use Gaussian measure on to define the coefficients of an elliptic diffusion and show that it lives in an open cone of . One component represents ens…
An inviscid limit to an effective energy-enstrophy diffusion process
Alain-Sol Sznitman, Klaus Widmayer
In this article we consider a stationary -dimensional Galerkin-Navier-Stokes type evolution with Brownian forcing and random stirring (of arbitrarily small strength that plays t…
Global dynamics in the 3D pressureless Euler-Poisson system for ions
Lucas Ertzbischoff, Catalina Jurja, Klaus Widmayer
In this work we consider the pressureless Euler-Poisson system on describing ion dynamics, which is a common model in the study of cold plasma. We prove global regul…
Long-time stability of a stably stratified rest state in the inviscid 2D Boussinesq equation
Catalina Jurja, Klaus Widmayer
We establish the nonlinear stability on a timescale of a linearly, stably stratified rest state in the inviscid Boussinesq system on . Here $\va…
Increased lifespan for 3D compressible Euler flows with rotation
Haram Ko, Benoit Pausader, Ryo Takada +1
We consider the compressible Euler equation with a Coriolis term and prove a lower bound on the time of existence of solutions in terms of the speed of rotation, sound speed and si…
On the stability of vacuum in the screened Vlasov-Poisson equation
Mikaela Iacobelli, Stefano Rossi, Klaus Widmayer
We study the asymptotic behavior of small data solutions to the screened Vlasov-Poisson equation on near vacuum. We show that for dimensions $d\geq…