Author

Zheng-Dong Du

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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