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math.AP2024
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…
math.AP2024
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…