5 citations · 5 across the 4 of their papers we have counts for
12 papers · 1 filter
Non-Existence of thick bubble rings at low Weber numbers
Yuanjiang Han, Christian Seis
We examine the existence of thick bubble rings within the framework of the free-boundary capillary Euler equations, focusing on the regime of low Weber numbers. Although spheroidal…
Steady bubbles and drops in inviscid fluids
David Meyer, Lukas Niebel, Christian Seis
We construct steady non-spherical bubbles and drops, which are traveling wave solutions to the axisymmetric two-phase Euler equations with surface tension, whose inner phase is a b…
Exponential mixing by random cellular flows
Víctor Navarro-Fernández, Christian Seis
We study a passive scalar equation on the two-dimensional torus, where the advecting velocity field is given by a cellular flow with a randomly moving center. We prove that the pas…
Steady Ring-Shaped Vortex Sheets
David Meyer, Christian Seis
In this work, we construct traveling wave solutions to the two-phase Euler equations, featuring a vortex sheet at the interface between the two phases. The inner phase exhibits a u…
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…