5 citations · 5 across the 3 of their papers we have counts for
8 papers
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…
Optimal stability estimates and a new uniqueness result for advection-diffusion equations
Víctor Navarro-Fernández, André Schlichting, Christian Seis
This paper contains two main contributions. First, it provides optimal stability estimates for advection-diffusion equations in a setting in which the velocity field is Sobolev reg…
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…
Vortex dynamics for 2D Euler flows with unbounded vorticity
Stefano Ceci, Christian Seis
It is well-known that the dynamics of vortices in an ideal incompressible two-dimensional fluid contained in a bounded not necessarily simply connected smooth domain is described b…
Renormalization and energy conservation for axisymmetric fluid flows
Camilla Nobili, Christian Seis
We study vanishing viscosity solutions to the axisymmetric Euler equations with (relative) vorticity in with . We show that these solutions satisfy the corresponding vor…
On the Littlewood--Paley spectrum for passive scalar transport equations
Christian Seis
We derive time-averaged estimates on Littlewood--Paley decompositions for linear advection-diffusion equations. For wave numbers close to the dissipative cut-off, these estim…