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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.AP2024★ 1 cited
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to initial data
Chongsheng Cao, Jinkai Li, Edriss S. Titi +1
In this paper, we consider the initial-boundary value problem to the three-dimensional primitive equations for the oceanic and atmospheric dynamics with only horizontal eddy viscos…
math.AP2024
Asymptotic stability of the equilibrium for the free boundary problem of a compressible atmospheric primitive model with physical vacuum
Xin Liu, Edriss S. Titi, Zhouping Xin
This paper concerns the large time asymptotic behavior of solutions to the free boundary problem of the compressible primitive equations in atmospheric dynamics with physical vacuu…