64 citations · 308 across the 37 of their papers we have counts for
4 papers · 1 filter
Invariant Manifolds for the Thin Film Equation
Christian Seis, Dominik Winkler
The large-time behavior of solutions to the thin film equation with linear mobility in the complete wetting regime on is examined: We investigate the higher order as…
Propagation of regularity for transport equations. A Littlewood-Paley approach
David Meyer, Christian Seis
It is known that linear advection equations with Sobolev velocity fields have very poor regularity properties: Solutions propagate only derivatives of logarithmic order, which can…
On the dynamics of vortices in viscous 2D flows
Stefano Ceci, Christian Seis
We study the 2D Navier--Stokes solution starting from an initial vorticity mildly concentrated near distinct points in the plane. We prove quantitative estimates on the propaga…
Asymptotics near extinction for nonlinear fast diffusion on a bounded domain
Beomjun Choi, Robert J. McCann, Christian Seis
On a smooth bounded Euclidean domain, Sobolev-subcritical fast diffusion with vanishing boundary trace is known to lead to finite-time extinction, with a vanishing profile selected…