180 citations · 379 across the 3 of their papers we have counts for
3 papers
math.AP2012★ 80 cited
On the finite-time splash and splat singularities for the 3-D free-surface Euler equations
Daniel Coutand, Steve Shkoller
We prove that the 3-D free-surface incompressible Euler equations with regular initial geometries and velocity fields have solutions which can form a finite-time "splash" (or "spla…
math.AP2009★ 119 cited
A priori estimates for the free-boundary 3-D compressible Euler equations in physical vacuum
Daniel Coutand, Hans Lindblad, Steve Shkoller
We prove a priori estimates for the three-dimensional compressible Euler equations with moving {\it physical} vacuum boundary, with an equation of state given by fo…
math.AP2005★ 180 cited
On the interaction between quasilinear elastodynamics and the Navier-Stokes equations
Daniel Coutand, Steve Shkoller
The interaction between a viscous fluid and an elastic solid is modeled by a system of parabolic and hyperbolic equations, coupled to one another along the moving material interfac…