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math.AP2026
Unstable Interface Dynamics for Gravity Stokes Flow
Francisco Gancedo, Rafael Granero-Belinchón, Zhongtian Hu +2
We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unsta…
math.AP2024
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…