19 citations · 50 across the 6 of their papers we have counts for
6 papers
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…
Riemannian geometry on the quantomorphism group
David G. Ebin, Stephen C. Preston
We are interested in the geometry of the group of diffeomorphisms preserving a contact form on a manifold . We define a Riemannian metric on $\mathcal{D}_…
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…
Global Solutions of the Equations of Elastodynamics of Incompressible Neo-Hookean Materials
David G. Ebin, SUNY at Stony Brook, NY 11794-3651
We prove that the initial-value problem for the motion of a certain type of elastic body has a solution for all time if the initial data are sufficiently small. The body must fill…