24 citations · 120 across the 16 of their papers we have counts for
16 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…
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…
A Generalized Beale-Kato-Majda Breakdown Criterion for the free-boundary problem in Euler Equations with Surface Tension
Chenyun Luo, Kai Zhou
It is shown in Ferrari \cite{Ferrari-1993CMP} that if is the maximal time interval of existence of a smooth solution of the incompressible Euler equations in a bounded,…
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…
Zero Surface Tension Limit of the Free-Boundary Problem in Incompressible Magnetohydrodynamics
Xumin Gu, Chenyun Luo, Junyan Zhang
We show that the solution of the free-boundary incompressible ideal magnetohydrodynamic (MHD) equations with surface tension converges to that of the free-boundary incompressible i…
Local Well-posedness for the Motion of a Compressible Gravity Water Wave with Vorticity
Chenyun Luo, Junyan Zhang
In this paper we prove the local well-posedness (LWP) for the 3D compressible Euler equations describing the motion of a liquid in an unbounded initial domain with moving boundary.…
Local Well-posedness of the Free-Boundary Incompressible Magnetohydrodynamics with Surface Tension
Xumin Gu, Chenyun Luo, Junyan Zhang
We prove the local well-posedness of the 3D free-boundary incompressible ideal magnetohydrodynamics (MHD) equations with surface tension, which describe the motion of a perfect con…
Rough sound waves in compressible Euler flow with vorticity
Marcelo M. Disconzi, Chenyun Luo, Giusy Mazzone +1
We prove a series of results tied to the regularity and geometry of solutions to the compressible Euler equations with vorticity and entropy. Our framework exploits and reveal…
A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension
Chenyun Luo, Junyan Zhang
We consider the three-dimensional incompressible free-boundary magnetohydrodynamics (MHD) equations in a bounded domain with surface tension on the boundary. We establish a priori…
A Regularity Result for the Incompressible Magnetohydrodynamics Equations with Free Surface Boundary
Chenyun Luo, Junyan Zhang
We consider the three-dimensional incompressible magnetohydrodynamics (MHD) equations in a bounded domain with small volume and free moving surface boundary. We establish a priori…
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…
On the Motion of a Compressible Gravity Water Wave with Vorticity
Chenyun Luo
We prove a priori estimates for the compressible Euler equations modeling the motion of a liquid with moving physical vacuum boundary in an unbounded initial domain. The liquid is…
A priori Estimates for the Compressible Euler Equations for a Liquid with Free Surface Boundary and the Incompressible Limit
Hans Lindblad, Chenyun Luo
In this paper, we prove a new type of energy estimates for the compressible Euler's equation with free boundary, with a boundary part and an interior part. These can be thought of…