110 citations · 420 across the 33 of their papers we have counts for
5 papers · 2 filters
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity
Jinkai Li, Qiang Tao
In this paper, we consider the Cauchy problem to the three dimensional heat conducting compressible nematic liquid crystal system in the presence of vacuum and with vacuum far fiel…
Propagation of uniform boundedness of entropy and inhomogeneous regularities for viscous and heat conductive gases with far field vacuum in three dimensions
Jinkai Li, Zhouping Xin
Due to the highly degeneracy and singularities of the entropy equation, the physical entropy for viscous and heat conductive polytropic gases behave singularly in the presence of v…
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…
Global well-posedness of -weak solutions to the primitive equations without vertical diffusivity
Jinkai Li, Guozhi Yuan
In this paper, we consider the initial boundary value problem in a cylindrical domain to the three dimensional primitive equations with full eddy viscosity in the momentum equation…
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…