110 citations · 420 across the 33 of their papers we have counts for
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math.AP2017★ 8 cited
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…
math.AP2017
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…
math.AP2017
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…