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papers

Publications (17)

math.AP2006

Well-posedness of the free-surface incompressible Euler equations with or without surface tension

Daniel Coutand, Steve Shkoller

math.AP2016

On the impossibility of finite-time splash singularities for vortex sheets

Daniel Coutand, Steve Shkoller

math.AP2012

Global existence and decay for solutions of the Hele-Shaw flow with injection

C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller

math.AP2003

Unique solvability of the free-boundary Navier-Stokes equations with surface tension

Daniel Coutand, Steve Shkoller

math.AP2006

Navier-Stokes equations interacting with a nonlinear elastic solid shell

C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller

math.AP2004

On the motion of an elastic solid inside of an incompressible viscous fluid

Daniel Coutand, Steve Shkoller

math.AP2015

Regularity of the velocity field for Euler vortex patch evolution

Daniel Coutand, Steve Shkoller

math.AP2009

Well-posedness in smooth function spaces for the moving-boundary 1-D compressible Euler equations in physical vacuum

Daniel Coutand, Steve Shkoller

math.AP2013

On the finite-time splash and splat singularities for the 3-D free-surface Euler equations

Daniel Coutand, Steve Shkoller

math.AP2010

Well-posedness in smooth function spaces for the moving-boundary 3-D compressible Euler equations in physical vacuum

Daniel Coutand, Steve Shkoller

math.AP2005

On the interaction between quasilinear elastodynamics and the Navier-Stokes equations

Daniel Coutand, Steve Shkoller

math.AP2009

A priori estimates for the free-boundary 3-D compressible Euler equations in physical vacuum

Daniel Coutand, Hans Lindblad, Steve Shkoller

math.AP2007

On the Motion of Vortex Sheets with Surface Tension in the 3D Euler Equations with Vorticity

C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller

math.AP2006

Navier-Stokes equations interacting with a nonlinear elastic fluid shell

C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller

math.AP2012

Well-posedness of the free-boundary compressible 3-D Euler equations with surface tension and the zero surface tension limit

Daniel Coutand, Jason Hole, Steve Shkoller

math.AP2017

Finite time singularity formation for moving interface Euler equations

Daniel Coutand

math.AP2015

On the splash singularity for the free-surface of a Navier-Stokes fluid

Daniel Coutand, Steve Shkoller