2 papers
math.AP2026
Asymptotic stability and Rayleigh-Taylor instability of stratified states for the three-dimensional rotating primitive equations with gravity
Yanlong Fan, Fengjie Luo, Yiqiu Mao +1
We study the 3D rotating primitive equations with gravity in a horizontally periodic channel, with viscous horizontal velocity and no density diffusion. For every Coriolis paramete…
math.AP2025
Inertial instability of Couette flow with Coriolis force
Yanlong Fan, Daozhi Han, Quan Wang
We analyze the nonlinear inertial instability of Couette flow under Coriolis forcing in \(\mathbb{R}^{3}\). For the Coriolis coefficient \(f \in (0,1)\), we show that the non-norma…