Daniel Ginsberg

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math.AP2025

Long time regularity for 3d gravity waves with vorticity

Daniel Ginsberg, Fabio Pusateri

We consider the Cauchy problem for the full free boundary Euler equations in $3$ d with an initial small velocity of size $O (I^µ_{0})$ , in a moving domain which is initially an $O(Îµ_0…

math.AP2024

Stationary self-similar profiles for the two-dimensional inviscid Boussinesq equations

Ken Abe, Daniel Ginsberg, In-Jee Jeong

We consider ( $- I^\pm$ )-homogeneous solutions (stationary self-similar solutions of degree $- I^\pm$ ) to the two-dimensional inviscid Boussinesq equations in a half-plane. We show their no…