5 papers · 1 filter
Stability of Vortex Patches in Channels
Zelin Dong, Chenyun Luo
In this paper, we investigate the orbital stability of vortex patches for the two-dimensional incompressible Euler equations in both a class of domains that satisfy the ``weak fini…
Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits
Chenyun Luo, Junyan Zhang
We consider the 3D compressible isentropic Euler equations describing the motion of a liquid in an unbounded initial domain with a moving boundary and a fixed flat bottom at finite…
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…
Small scale creation for 2D free boundary Euler equations with surface tension
Zhongtian Hu, Chenyun Luo, Yao Yao
In this paper, we study the 2D free boundary incompressible Euler equations with surface tension, where the fluid domain is periodic in , and has finite depth. We construct in…