8 citations · 18 across the 4 of their papers we have counts for
8 papers
Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions
Jinkai Li, Yasi Zheng
In this paper, we investigate the initial-boundary value problem to the heat conductive compressible Navier-Stokes equations. Local existence and uniqueness of strong solutions is…
The primitive equations approximation of the anisotropic horizontally viscous Navier-Stokes equations
Jinkai Li, Edriss S. Titi, Guozhi Yuan
In this paper, we provide rigorous justification of the hydrostatic approximation and the derivation of primitive equations as the small aspect ratio limit of the incompressible th…
Global Well-posedness for the Primitive Equations Coupled to Nonlinear Moisture Dynamics with Phase Changes
Sabine Hittmeir, Rupert Klein, Jinkai Li +1
In this work we study the global solvability of the primitive equations for the atmosphere coupled to moisture dynamics with phase changes for warm clouds, where water is present i…
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation
Jinkai Li, Edriss S. Titi
An important feature of the planetary oceanic dynamics is that the aspect ratio (the ratio of the depth to horizontal width) is very small. As a result, the hydrostatic approximati…
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
Chongsheng Cao, Jinkai Li, Edriss S. Titi
In this paper, we consider the 3D primitive equations of oceanic and atmospheric dynamics with only horizontal eddy viscosities in the horizontal momentum equations and only vertic…
Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density
Jinkai Li
In this paper, we consider the initial-boundary value problem to the nonhomogeneous incompressible Navier-Stokes equations. Local strong solutions are established, for any initial…