4 papers · 1 filter
Stability of traveling waves for doubly nonlinear equations
Christian Seis, Dominik Winkler
In this note, we investigate a doubly nonlinear diffusion equation in the slow diffusion regime. We prove stability of the pressure of solutions that are close to traveling wave so…
Fine large-time asymptotics for the axisymmetric Navier--Stokes equations
Christian Seis, Dominik Winkler
We examine the large-time behavior of axisymmetric solutions without swirl of the Navier--Stokes equation in . We construct higher-order asymptotic expansions for the…
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…
A well-posedness result for a system of cross-diffusion equations
Christian Seis, Dominik Winkler
This work's major intention is the investigation of the well-posedness of certain cross-diffusion equations in the class of bounded functions. More precisely, we show existence, un…