Author

Feng-Jie Luo

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Preprint Oct 2026

Exact lattice resonances and a sharp second Picard obstruction for the two-dimensional inviscid primitive equations

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 on a fixed rectangular torus. Fourier resonance analysis and Sobolev estimates show that, despite unitary linear evolution, the polarized se...

Feng-Jie Luo, Zheng-Dong Du · 0 citations

Preprint Oct 2026

Local Hadamard well-posedness of the 2D primitive equations without thermal diffusion under strict stratification

We study the two-dimensional non-rotating primitive equations with anisotropic viscosity and no thermal diffusion. For doubly periodic perturbations of a hydrostatic equilibrium with an affine temperature profile, we establish local Hadamard well-posedness in Sobolev spaces under strict stratification. The initial hori...

Feng-Jie Luo, Quan Wang, Zheng-Dong Du · 0 citations

Preprint Oct 2026

Global stability and sharp decay for the two-dimensional non-rotating primitive equations without thermal diffusion

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, for every integer \(s\ge4\), we prove that sufficiently small, compatible, doubly periodic \(H^s\) perturbations of a stably stratified rest...

Feng-Jie Luo, Quan Wang · 0 citations