15 citations · 22 across the 5 of their papers we have counts for
5 papers
Well-posedness of the two-dimensional generalized Benjamin-Bona-Mahony equation on the upper half plane
Ying-Chieh Lin, C. H. Arthur Cheng, John M. Hong +2
This paper focuses on the two-dimensional Benjamin-Bona-Mahony and Benjamin-Bona-Mahony-Burgers equations with a general flux function. The aim is at the global (in time) well-pose…
Global existence and decay for solutions of the Hele-Shaw flow with injection
C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller
We study the global existence and decay to spherical equilibrium of Hele-Shaw flows with surface tension. We prove that without injection of fluid, perturbations of the sphere deca…
On the Motion of Vortex Sheets with Surface Tension in the 3D Euler Equations with Vorticity
C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller
We prove well-posedness of vortex sheets with surface tension in the 3D incompressible Euler equations with vorticity.
Navier-Stokes equations interacting with a nonlinear elastic solid shell
C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller
We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic solid shell. The fluid motion is governed by t…
Navier-Stokes equations interacting with a nonlinear elastic fluid shell
C. H. Arthur Cheng, Daniel Coutand, Steve Shkoller
We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic fluid shell. The fluid motion is governed by t…