Showing math.APShow all
3 papers · 1 filter
math.AP2026
Local well-posedness of strong solutions to the non-isentropic compressible primitive equations with vertical diffusion
Rupert Klein, Jinkai Li, Xin Liu +1
Due to the absence of dynamical equation in the vertical momentum component of the primitive equations (PEs) of atmospheric dynamics, the vertical component of the velocity can be…
math.AP2024
Local well-posedness of a system coupling compressible atmospheric dynamics and a micro-physics model of moisture in air
Sabine Doppler, Rupert Klein, Xin Liu +1
We establish here the local-in-time well-posedness of strong solutions with large initial data to a system coupling compressible atmospheric dynamics with a refined moisture model…
math.AP2023
On the boundary layer arising from fast internal waves dynamics
Rupert Klein, Xin Liu
In this paper, we investigate the boundary layer arising from the fast internal waves in the Boussinesq equations with the Brunt-Vaisälä frequency of order $ \mathcal O(1/\varepsil…