110 citations · 420 across the 33 of their papers we have counts for
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Local well-posedness of strong solutions to density-dependent liquid crystal system
Huajun Gong, Jinkai Li, Chen Xu
In this paper, we study the Cauchy problem to the density-dependent liquid crystal system in . We establish the local existence and uniqueness of strong solutions to t…
Existence and uniqueness of weak solutions to viscous primitive equations for certain class of discontinuous initial data
Jinkai Li, Edriss S. Titi
We establish some conditional uniqueness of weak solutions to the viscous primitive equations, and as an application, we prove the global existence and uniqueness of weak solutions…
A Tropical Atmosphere Model with Moisture: Global Well-posedness and Relaxation Limit
Jinkai Li, Edriss S. Titi
In this paper, we consider a nonlinear interaction system between the barotropic mode and the first baroclinic mode of the tropical atmosphere with moisture; that was derived in [F…
Global well-posedness of strong solutions to a tropical climate model
Jinkai Li, Edriss S. Titi
In this paper, we consider the Cauchy problem to the TROPIC CLIMATE MODEL derived by Frierson-Majda-Pauluis in [Comm. Math. Sci, Vol. 2 (2004)] which is a coupled system of the bar…
Global well-posedness of the 2D Boussinesq equations with vertical dissipation
Jinkai Li, Edriss S. Titi
We prove the global well-posedness of the two-dimensional Boussinesq equations with only vertical dissipation. The initial data are required to be only in the space $X=…