4 papers
Exact lattice resonances and a sharp second Picard obstruction for the two-dimensional inviscid primitive equations
Fengjie Luo, Zhengdong Du
We study periodic perturbations of a rest state with constant stable stratification for the two-dimensional non-rotating primitive equations without viscosity or thermal diffusion…
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…
Local Hadamard well-posedness of the 2D primitive equations without thermal diffusion under strict stratification
Fengjie Luo, Quan Wang, Zhengdong Du
We study the two-dimensional non-rotating primitive equations with anisotropic viscosity and no thermal diffusion. For doubly periodic perturbations of a hydrostatic equilibrium wi…
Global stability and sharp decay for the two-dimensional non-rotating primitive equations without thermal diffusion
Fengjie Luo, Quan Wang
We study the two-dimensional non-rotating primitive equations with positive horizontal and vertical viscosity and without thermal diffusion. Our main results are fourfold. First, f…