73 citations · 233 across the 23 of their papers we have counts for
5 papers · 1 filter
On the stabilizing effect of rotation in the 3d Euler equations
Yan Guo, Chunyan Huang, Benoit Pausader +1
While it is well known that constant rotation induces linear dispersive effects in various fluid models, we study here its effect on long time nonlinear dynamics in the inviscid se…
Mixing and diffusion for rough shear flows
Maria Colombo, Michele Coti Zelati, Klaus Widmayer
This article addresses mixing and diffusion properties of passive scalars advected by rough () shear flows. We show that in general, one cannot expect a rough shear flow to in…
Stability of a point charge for the Vlasov-Poisson system: the radial case
Benoit Pausader, Klaus Widmayer
We consider the Vlasov-Poisson system with initial data a small, radial, absolutely continuous perturbation of a point charge. We show that the solution is global and disperses to…
Stationary Structures near the Kolmogorov and Poiseuille Flows in the 2d Euler Equations
Michele Coti Zelati, Tarek M. Elgindi, Klaus Widmayer
We study the behavior of solutions to the incompressible Euler equations near two canonical shear flows with critical points, the Kolmogorov and Poiseuille flows, with consequ…
On the asymptotic behavior of solutions to the Vlasov-Poisson system
Alexandru D. Ionescu, Benoit Pausader, Xuecheng Wang +1
We prove small data modified scattering for the Vlasov-Poisson system in dimension using a method inspired from dispersive analysis. In particular, we identify a simple asymp…