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math.AP2023★ 1 cited
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…
math.AP2023
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,…