8 papers · 1 filter
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…
Modified scattering dynamics in the Vlasov-Poisson equation near an attractive point mass
Bernhard Kepka, Klaus Widmayer
We study the long-time behavior of radially symmetric solutions to the Vlasov-Poisson equation consisting of an attractive point mass and a small, suitably localized and absolutely…
The cubic NLS on the line with an inverse square potential
Joachim Krieger, Wilhelm Schlag, Klaus Widmayer
We establish modified scattering for solutions of the cubic NLS on the line with a repulsive inverse square potential and small localized data. The method is based on a comparison…