3 papers
math.AP2020
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…
math.AP2020
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…
math.AP2019
Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
Michele Coti Zelati, Tarek M. Elgindi, Klaus Widmayer
We consider solutions to the 2d Navier-Stokes equations on close to the Poiseuille flow, with small viscosity . Our first result concerns a semigr…