6 papers
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 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…
Strong Convergence of Vorticities in the 2D Viscosity Limit on a Bounded Domain
Christian Seis, Emil Wiedemann, Jakub Woźnicki
In the vanishing viscosity limit from the Navier-Stokes to Euler equations on domains with boundaries, a main difficulty comes from the mismatch of boundary conditions and, consequ…
Exponential mixing by random cellular flows
VÃctor 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…
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…
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…