23 citations · 42 across the 7 of their papers we have counts for
7 papers
Entropy-bounded solutions to the Cauchy problem of compressible planar non-resistive magnetohydrodynamics equations with far field vacuum
Jinkai Li, Mingjie Li, Yang Liu +1
We investigate the Cauchy problem to the compressible planar non-resistive magnetohydrodynamic equations with zero heat conduction. The global existence of strong solutions to such…
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…
Nonuniqueness of nematic liquid crystal flows in dimension three
Huajun Gong, Tao Huang, Jinkai Li
For suitable initial and boundary data, we construct infinitely many weak solutions to the nematic liquid crystal flows in dimension three. These solutions are in the axisymmetric…
Strong solutions to the 3D primitive equations with only horizontal dissipation: near initial data
Chongsheng Cao, Jinkai Li, Edriss S. Titi
In this paper, we consider the initial-boundary value problem of the three-dimensional primitive equations for oceanic and atmospheric dynamics with only horizontal viscosity and h…
On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in
Jinkai Li, Edriss S. Titi, Zhouping Xin
This paper concerns the uniqueness of weak solutions to the Cauchy problem to the Ericksen-Leslie system of liquid crystal models in , with both general Leslie stress…
Global Well-posedness of the 3D Primitive Equations with Only Horizontal Viscosity and Diffusion
Chongsheng Cao, Jinkai Li, Edriss S. Titi
In this paper, we consider the initial-boundary value problem of the 3D primitive equations for planetary oceanic and atmospheric dynamics with only horizontal eddy viscosity in th…