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On the stability of viscous three-dimensional rotating Couette flow
Michele Coti Zelati, Augusto Del Zotto, Klaus Widmayer
We study the stability of Couette flow in the 3d Navier-Stokes equations with rotation, as given by the Coriolis force. Hereby, the nature of linearized dynamics near Couette flow…
Nonlinear Landau damping and wave operators in sharp Gevrey spaces
A. D. Ionescu, B. Pausader, X. Wang +1
We prove nonlinear Landau damping in optimal weighted Gevrey-3 spaces for solutions of the confined Vlasov-Poisson system on $\T^d\times\R^d$ which are small perturbations of homog…
Scattering map for the Vlasov-Poisson system
Patrick Flynn, Zhimeng Ouyang, Benoit Pausader +1
We construct (modified) scattering operators for the Vlasov-Poisson system in three dimensions, mapping small asymptotic dynamics as to asymptotic dynamics as $t\to…
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…
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…