4 papers · 1 filter
On a Class of Global Solutions to 3D Free-Boundary Relativistic Euler Equations with a Physical Vacuum Boundary
Marcelo M. Disconzi, Zhongtian Hu, Chenyun Luo
We consider the free-boundary relativistic Euler equations in Minkowski spacetime equipped with a physical vacuum boundary, which models the motion of a relativi…
Local Well-Posedness of the Motion of Inviscid Liquid Crystals with a Free Surface Boundary
Chenyun Luo, Hang Yu
In this article, we prove the local well-posedness of the free-boundary Lin-Liu equations describing the motion of inviscid nematic liquid crystals in the presence of surface tensi…
Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary
Daniel Ginsberg, Hans Lindblad, Chenyun Luo
We establish the local well-posedness for the free boundary problem for the compressible Euler equations describing the motion of liquid under the influence of Newtonian self-gravi…
On the Incompressible Limit for the Compressible Free-Boundary Euler Equations with Surface Tension in the Case of a Liquid
Marcelo M. Disconzi, Chenyun Luo
In this paper we establish the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid. Compared to the case without su…