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math.AP2025
Transition threshold for the Navier-Stokes-Coriolis system at high Reynolds numbers
Minling Li, Changzhen Sun, Chao Wang +2
The transition mechanism from laminar flow to turbulent flow is a central problem in hydrodynamic stability theory. To shed light on this transition mechanism, Trefethen et al.({\i…
math.AP2025
Transverse asymptotic stability of line solitary waves for the Ionic Euler-Poisson system
Frédéric Rousset, Changzhen Sun
We prove the linear and nonlinear asymptotic stability of small amplitude one-dimensional solitary waves submitted to small localized irrotational perturbations in the three dimens…
math.AP2025
Small-amplitude finite-depth Stokes waves are transversally unstable
Ziang Jiao, L. Miguel Rodrigues, Changzhen Sun +1
We prove that all irrotational planar periodic traveling waves of sufficiently small-amplitude are spectrally unstable as solutions to three-dimensional inviscid finite-depth gravi…