atmospheric dynamics 1global well-posedness 1morning glory cloud 1nonlinear wave propagation 1strong solutions 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Global well-posedness of strong solutions to a model for the morning glory cloud
Jinkai Li, Yuan Ma, Dong Wang
The paper proves that a strong solution to a nonlinear PDE model of morning glory cloud dynamics exists globally and uniquely under certain regularity assumptions on the initial da…
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
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…