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Jinkai Li
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Global well‐posedness of the three‐dimensional primitive equations with only horizontal viscosity and diffusion
C Cao, J Li, ES Titi
Communications on Pure and Applied Mathematics 69 (8), 1492-1531, 2016
1002016
Local and global well-posedness of strong solutions to the 3D primitive equations with vertical eddy diffusivity
C Cao, J Li, ES Titi
Archive for Rational Mechanics and Analysis 214, 35-76, 2014
942014
Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity
C Cao, J Li, ES Titi
J. Differential Equations 257 (11), 4108–4132, 2014
912014
Global well-posedness of the 2D Boussinesq equations with vertical dissipation
J Li, ES Titi
Archive for Rational Mechanics and Analysis 220, 983-1001, 2016
822016
Strong solutions to the 3D primitive equations with only horizontal dissipation: near H1 initial data
C Cao, J Li, ES Titi
Journal of Functional Analysis 272 (11), 4606-4641, 2017
742017
The primitive equations as the small aspect ratio limit of the Navier–Stokes equations: rigorous justification of the hydrostatic approximation
J Li, ES Titi
Journal de Mathématiques Pures et Appliquées 124, 30-58, 2019
692019
Local existence and uniqueness of strong solutions to the Navier–Stokes equations with nonnegative density
J Li
Journal of Differential Equations 263 (10), 6512-6536, 2017
612017
Blow-up Criteria of Strong Solutions to the Ericksen-Leslie System in ℝ3
MC Hong, J Li, Z Xin
Communications in Partial Differential Equations 39 (7), 1284-1328, 2014
612014
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
C Cao, J Li, ES Titi
Physica D: Nonlinear Phenomena 412, 132606, 2020
512020
On the uniqueness of weak solutions to the Ericksen–Leslie liquid crystal model in
J Li, ES Titi, Z Xin
Mathematical Models and Methods in Applied Sciences 26 (04), 803-822, 2016
512016
Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data
J Li, ES Titi
SIAM Journal on Mathematical Analysis 49 (1), 1-28, 2017
412017
Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions
J Li
Nonlinear Analysis: Theory, Methods & Applications 99, 80-94, 2014
372014
A tropical atmosphere model with moisture: global well-posedness and relaxation limit
J Li, ES Titi
Nonlinearity 29 (9), 2674, 2016
362016
Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum
J Li, Z Xin
Advances in Mathematics 361, 106923, 2020
292020
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes
S Hittmeir, R Klein, J Li, ES Titi
Nonlinearity 30 (10), 3676, 2017
292017
Global small solutions of heat conductive compressible Navier–Stokes equations with vacuum: smallness on scaling invariant quantity
J Li
Archive for Rational Mechanics and Analysis 237 (2), 899-919, 2020
252020
The primitive equations approximation of the anisotropic horizontally viscous 3D Navier-Stokes equations
J Li, ES Titi, G Yuan
Journal of Differential Equations 306, 492-524, 2022
232022
Global existence of classical solutions with large oscillations and vacuum to the three-dimensional compressible nematic liquid crystal flows
J Li, Z Xu, J Zhang
Journal of Mathematical Fluid Mechanics 20, 2105-2145, 2018
212018
Existence of positive solutions for the p-Laplacian with p-gradient term
J Li, J Yin, Y Ke
Journal of mathematical analysis and applications 383 (1), 147-158, 2011
212011
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes
S Hittmeir, R Klein, J Li, ES Titi
Nonlinearity 33 (7), 3206, 2020
202020
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