5 papers
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…
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…
Equivalent Conditions for Domination of -sequences
Chang Sun, Zhenghe Zhang
It is well known that a -sequence is uniformly hyperbolic if and only it satisfies a uniform exponential growth condition. Similarly, for $\mathrm{GL}(2,…
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…
Transverse linear stability of one-dimensional solitary gravity water waves
Frédéric Rousset, Changzhen Sun
In this paper, we establish the transverse linear asymptotic stability of one-dimensional small-amplitude solitary waves of the gravity water-waves system. More precisely, we show…