64 citations · 308 across the 37 of their papers we have counts for
4 papers · 1 filter
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…
Optimal Regularity for the 2D Euler Equations in the Yudovich class
Nicola de Nitti, David Meyer, Christian Seis
We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equation…
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…