19 citations · 50 across the 6 of their papers we have counts for
4 papers · 1 filter
The free boundary Euler equations with large surface tension
Marcelo M. Disconzi, David G. Ebin
We study the free boundary Euler equations with surface tension in three spatial dimensions, showing that the equations are well-posed if the coefficient of surface tension is posi…
Riemannian geometry of the contactomorphism group
David G. Ebin, Stephen C. Preston
We define a right-invariant Riemannian metric on the group of contactomorphisms and study its Euler-Arnold equation. If the metric is associated to the contact form, the Euler-Arno…
Motion of slightly compressible fluids in a bounded domain. II
Marcelo M. Disconzi, David G. Ebin
We study the problem of inviscid slightly compressible fluids in a bounded domain. We find a unique solution to the initial-boundary value problem and show that it is near the anal…
On the limit of large surface tension for a fluid motion with free boundary
Marcelo M. Disconzi, David G. Ebin
We study the free boundary Euler equations in two spatial dimensions. We prove that if the boundary is sufficiently regular, then solutions of the free boundary fluid motion conver…