Daniel Ginsberg

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math.AP2024

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

Ken Abe, Daniel Ginsberg, In-Jee Jeong

We consider ( $- α$ )-homogeneous solutions (stationary self-similar solutions of degree $- α$ ) to the two-dimensional inviscid Boussinesq equations in a half-plane. We show their non-…

math.AP2024

The stability of irrotational shocks and the Landau law of decay

Daniel Ginsberg, Igor Rodnianski

We consider the long-time behavior of irrotational solutions of the three-dimensional compressible Euler equations with shocks, hypersurfaces of discontinuity across which the Rank…

math.AP2024

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 $O (ε_{0})$ , in a moving domain which is initially an $O (ε_{0})$ …