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math.AP2026
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…
math.AP2026
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…