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Author ID: li.jinkai Recent zbMATH articles by "Li, Jinkai"
Published as: Li, Jinkai; Li, Jin-Kai

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 764 times in 372 Documents Cited by Year
Global well-posedness of the 2D Boussinesq equations with vertical dissipation. Zbl 1336.35297
Li, Jinkai; Titi, Edriss S.
65
2016
Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
61
2016
Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
51
2014
Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
48
2014
Global well-posedness of strong solutions to a tropical climate model. Zbl 1339.35325
Titi, Edriss; Li, Jinkai
44
2016
Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. Zbl 1366.35123
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
43
2017
Blow-up criteria of strong solutions to the Ericksen-Leslie system in \(\mathbb{R}^{3}\). Zbl 1327.35319
Hong, Min-Chun; Li, Jinkai; Xin, Zhouping
38
2014
Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density. Zbl 1370.76026
Li, Jinkai
35
2017
On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013
Li, Jinkai; Titi, Edriss S.; Xin, Zhouping
30
2016
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation. Zbl 1412.35224
Li, Jinkai; Titi, Edriss S.
30
2019
Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions. Zbl 1285.35083
Li, Jinkai
27
2014
Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data. Zbl 1364.35275
Li, Jinkai; Titi, Edriss S.
24
2017
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity. Zbl 1484.35315
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
24
2020
Global strong solutions to the inhomogeneous incompressible nematic liquid crystal flow. Zbl 1322.35117
Li, Jinkai
22
2015
A tropical atmosphere model with moisture: global well-posedness and relaxation limit. Zbl 1345.35116
Li, Jinkai; Titi, Edriss S.
22
2016
Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077
Li, Jinkai; Xin, Zhouping
16
2016
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. Zbl 1379.35325
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S.
16
2017
Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum. Zbl 1433.35236
Li, Jinkai; Xin, Zhouping
15
2020
Global strong solutions to incompressible Ericksen-Leslie system in \(\mathbb{R}^3\). Zbl 1307.35232
Ma, Wenya; Gong, Huajun; Li, Jinkai
14
2014
Global existence of classical solutions with large oscillations and vacuum to the three-dimensional compressible nematic liquid crystal flows. Zbl 1404.76019
Li, Jinkai; Xu, Zhonghai; Zhang, Jianwen
14
2018
Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity. Zbl 1437.35540
Li, Jinkai
13
2020
Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum. Zbl 1467.35242
Gong, Huajun; Li, Jinkai; Liu, Xian-Gao; Zhang, Xiaotao
11
2020
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Zbl 1447.35267
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S.
11
2020
Global well-posedness of the one-dimensional compressible Navier-Stokes equations with constant heat conductivity and nonnegative density. Zbl 1428.35301
Li, Jinkai
11
2019
Local well-posedness of strong solutions to density-dependent liquid crystal system. Zbl 1354.35101
Gong, Huajun; Li, Jinkai; Xu, Chen
10
2016
Global existence of strong solutions to incompressible MHD. Zbl 1282.35300
Gong, Huajun; Li, Jinkai
10
2014
The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations. Zbl 1477.35126
Li, Jinkai; Titi, Edriss S.; Yuan, Guozhi
10
2022
Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term. Zbl 1222.35068
Li, Jinkai; Yin, Jingxue; Ke, Yuanyuan
8
2011
Regularity criteria for the strong solutions to the Ericksen-Leslie system in \(\mathbb R^3\). Zbl 1310.35054
Fan, Jishan; Li, Jinkai
7
2015
Global well-posedness of non-heat conductive compressible Navier-Stokes equations in 1D. Zbl 1497.35379
Li, Jinkai
7
2020
Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier-Stokes equations with far field vacuum. Zbl 1510.35211
Li, Jinkai; Xin, Zhouping
7
2022
A logarithmic regularity criterion for the 3D generalized MHD system. Zbl 1335.35193
Fan, Jishan; Li, Jinkai
3
2015
Global existence of strong solutions to incompressible MHD. Zbl 1282.35299
Gong, Huajun; Li, Jinkai
3
2014
Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball. Zbl 1428.35274
Bian, Dongfen; Li, Jinkai
3
2019
Global well-posedness of \(z\)-weak solutions to the primitive equations without vertical diffusivity. Zbl 1507.35189
Li, Jinkai; Yuan, Guozhi
3
2022
Nonuniqueness of nematic liquid crystal flows in dimension three. Zbl 1378.35239
Gong, Huajun; Huang, Tao; Li, Jinkai
2
2017
Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor. Zbl 1372.35234
Gong, Huajun; Li, Jinkai; Xu, Chen
2
2017
Critical numbers of intervals. Zbl 1415.11021
Li, Jin-Kai; Chen, Yong-Gao
1
2016
Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions. Zbl 1525.35193
Li, Jinkai; Xin, Zhouping
1
2023
Existence of positive solutions for the \(p(x)\)-Laplacian equation. Zbl 1263.35120
Yin, Jingxue; Li, Jinkai; Ke, Yuanyuan
1
2012
Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum without initial compatibility conditions. Zbl 1506.35140
Li, Jinkai; Zheng, Yasi
1
2023
Local and global well-posedness of entropy-bounded solutions to the compressible Navier-Stokes equations in multi-dimensions. Zbl 1525.35193
Li, Jinkai; Xin, Zhouping
1
2023
Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum without initial compatibility conditions. Zbl 1506.35140
Li, Jinkai; Zheng, Yasi
1
2023
The primitive equations approximation of the anisotropic horizontally viscous \(3D\) Navier-Stokes equations. Zbl 1477.35126
Li, Jinkai; Titi, Edriss S.; Yuan, Guozhi
10
2022
Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier-Stokes equations with far field vacuum. Zbl 1510.35211
Li, Jinkai; Xin, Zhouping
7
2022
Global well-posedness of \(z\)-weak solutions to the primitive equations without vertical diffusivity. Zbl 1507.35189
Li, Jinkai; Yuan, Guozhi
3
2022
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity. Zbl 1484.35315
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
24
2020
Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum. Zbl 1433.35236
Li, Jinkai; Xin, Zhouping
15
2020
Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity. Zbl 1437.35540
Li, Jinkai
13
2020
Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum. Zbl 1467.35242
Gong, Huajun; Li, Jinkai; Liu, Xian-Gao; Zhang, Xiaotao
11
2020
Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Zbl 1447.35267
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S.
11
2020
Global well-posedness of non-heat conductive compressible Navier-Stokes equations in 1D. Zbl 1497.35379
Li, Jinkai
7
2020
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation. Zbl 1412.35224
Li, Jinkai; Titi, Edriss S.
30
2019
Global well-posedness of the one-dimensional compressible Navier-Stokes equations with constant heat conductivity and nonnegative density. Zbl 1428.35301
Li, Jinkai
11
2019
Finite time blow up of compressible Navier-Stokes equations on half space or outside a fixed ball. Zbl 1428.35274
Bian, Dongfen; Li, Jinkai
3
2019
Global existence of classical solutions with large oscillations and vacuum to the three-dimensional compressible nematic liquid crystal flows. Zbl 1404.76019
Li, Jinkai; Xu, Zhonghai; Zhang, Jianwen
14
2018
Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. Zbl 1366.35123
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
43
2017
Local existence and uniqueness of strong solutions to the Navier-Stokes equations with nonnegative density. Zbl 1370.76026
Li, Jinkai
35
2017
Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data. Zbl 1364.35275
Li, Jinkai; Titi, Edriss S.
24
2017
Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. Zbl 1379.35325
Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss S.
16
2017
Nonuniqueness of nematic liquid crystal flows in dimension three. Zbl 1378.35239
Gong, Huajun; Huang, Tao; Li, Jinkai
2
2017
Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor. Zbl 1372.35234
Gong, Huajun; Li, Jinkai; Xu, Chen
2
2017
Global well-posedness of the 2D Boussinesq equations with vertical dissipation. Zbl 1336.35297
Li, Jinkai; Titi, Edriss S.
65
2016
Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
61
2016
Global well-posedness of strong solutions to a tropical climate model. Zbl 1339.35325
Titi, Edriss; Li, Jinkai
44
2016
On the uniqueness of weak solutions to the Ericksen-Leslie liquid crystal model in \(\mathbb{R}^2\). Zbl 1332.76013
Li, Jinkai; Titi, Edriss S.; Xin, Zhouping
30
2016
A tropical atmosphere model with moisture: global well-posedness and relaxation limit. Zbl 1345.35116
Li, Jinkai; Titi, Edriss S.
22
2016
Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D. Zbl 1363.35077
Li, Jinkai; Xin, Zhouping
16
2016
Local well-posedness of strong solutions to density-dependent liquid crystal system. Zbl 1354.35101
Gong, Huajun; Li, Jinkai; Xu, Chen
10
2016
Critical numbers of intervals. Zbl 1415.11021
Li, Jin-Kai; Chen, Yong-Gao
1
2016
Global strong solutions to the inhomogeneous incompressible nematic liquid crystal flow. Zbl 1322.35117
Li, Jinkai
22
2015
Regularity criteria for the strong solutions to the Ericksen-Leslie system in \(\mathbb R^3\). Zbl 1310.35054
Fan, Jishan; Li, Jinkai
7
2015
A logarithmic regularity criterion for the 3D generalized MHD system. Zbl 1335.35193
Fan, Jishan; Li, Jinkai
3
2015
Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
51
2014
Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
48
2014
Blow-up criteria of strong solutions to the Ericksen-Leslie system in \(\mathbb{R}^{3}\). Zbl 1327.35319
Hong, Min-Chun; Li, Jinkai; Xin, Zhouping
38
2014
Global strong and weak solutions to inhomogeneous nematic liquid crystal flow in two dimensions. Zbl 1285.35083
Li, Jinkai
27
2014
Global strong solutions to incompressible Ericksen-Leslie system in \(\mathbb{R}^3\). Zbl 1307.35232
Ma, Wenya; Gong, Huajun; Li, Jinkai
14
2014
Global existence of strong solutions to incompressible MHD. Zbl 1282.35300
Gong, Huajun; Li, Jinkai
10
2014
Global existence of strong solutions to incompressible MHD. Zbl 1282.35299
Gong, Huajun; Li, Jinkai
3
2014
Existence of positive solutions for the \(p(x)\)-Laplacian equation. Zbl 1263.35120
Yin, Jingxue; Li, Jinkai; Ke, Yuanyuan
1
2012
Existence of positive solutions for the \(p\)-Laplacian with \(p\)-gradient term. Zbl 1222.35068
Li, Jinkai; Yin, Jingxue; Ke, Yuanyuan
8
2011
all top 5

Cited by 400 Authors

24 Li, Jinkai
24 Zhong, Xin
22 Titi, Edriss Saleh
16 Liu, Yang
14 Wu, Jiahong
9 Fan, Jishan
9 Hieber, Matthias
9 Ye, Zhuan
8 Guo, Boling
8 Xu, Xiaojing
7 Hussein, Amru
7 Shang, Haifeng
7 Tang, Tong
6 Cao, Chongsheng
6 Gao, Hongjun
6 Kashiwabara, Takahito
6 Lin, Quyuan
5 Giga, Yoshikazu
5 Huang, Tao
5 Wang, Fengchao
5 Yao, Zhengan
5 Yuan, Baoquan
5 Zhai, Xiaoping
5 Zhou, Yong
4 Bisconti, Luca
4 Brzeźniak, Zdzisław
4 Dong, Boqing
4 Gao, Jincheng
4 Gong, Huajun
4 Hong, Minchun
4 Ibrahim, Slim
4 Jiu, Quansen
4 Lasarzik, Robert
4 Lian, Ruxu
4 Liu, Hui
4 Liu, Xin
4 Nečasová, Šárka
4 Niu, Dongjuan
4 Pu, Xueke
4 Razafimandimby, Paul André
4 Temam, Roger Meyer
4 Tersenov, Aris Savvich
4 Wang, Wenjuan
4 Ye, Xia
4 Yu, Yanghai
4 Zhao, Kun
4 Zhu, Mingxuan
3 Chen, Geng
3 Chen, Hong
3 De Anna, Francesco
3 Hittmeir, Sabine
3 Huang, Daiwen
3 Jiang, Ning
3 Klein, Rupert
3 Korn, Peter
3 Li, Jinlu
3 Li, Quanrong
3 Liu, Qiao
3 Liu, Xiangao
3 Ma, Wenya
3 Saal, Martin
3 Sun, Jianzhu
3 Wan, Renhui
3 Wang, Changyou
3 Wu, Fan
3 Wu, Hao
3 Xin, Zhouping
3 Zeng, Qingcun
3 Zhang, Hui
3 Zhang, Jianwen
3 Zhang, Zhifei
3 Zhao, Xiaopeng
3 Zhou, Nan
3 Zhou, Wenli
3 Zillinger, Christian
2 Bian, Dongfen
2 Cao, Hongmei
2 Cao, Yining
2 Catania, Davide
2 Chen, Fei
2 Chen, Xia
2 Dai, Yichen
2 Deng, Lihua
2 Deugoue, Gabriel
2 Ding, Huiting
2 Doering, Charles Rogers
2 Fan, Zhenduo
2 Feireisl, Eduard
2 Feng, Zhewen
2 Furukawa, Ken
2 Gancedo, Francisco
2 García-Juárez, Eduardo
2 Giorgini, Andrea
2 Gries, Mathis Yannik
2 Guo, Renying
2 Guo, Shanshan
2 Guo, Zhengguang
2 Hausenblas, Erika
2 Hu, Ruimeng
2 Huang, Jinrui
...and 300 more Authors
all top 5

Cited in 102 Serials

37 Journal of Differential Equations
22 Journal of Mathematical Analysis and Applications
16 Discrete and Continuous Dynamical Systems. Series B
15 Journal of Mathematical Physics
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Archive for Rational Mechanics and Analysis
12 SIAM Journal on Mathematical Analysis
11 Nonlinearity
10 Journal of Mathematical Fluid Mechanics
10 Acta Mathematica Scientia. Series B. (English Edition)
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Applied Mathematics Letters
9 Journal of Nonlinear Science
8 Nonlinear Analysis. Real World Applications
8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Communications on Pure and Applied Analysis
7 Discrete and Continuous Dynamical Systems
6 Applicable Analysis
6 Calculus of Variations and Partial Differential Equations
5 Mathematical Methods in the Applied Sciences
5 Acta Applicandae Mathematicae
5 Physica D
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Functional Analysis
4 Journal of Evolution Equations
4 Boundary Value Problems
4 AIMS Mathematics
3 Communications in Mathematical Physics
3 Rocky Mountain Journal of Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Kinetic and Related Models
3 Science China. Mathematics
2 Computers & Mathematics with Applications
2 Applied Mathematics and Computation
2 Indiana University Mathematics Journal
2 Mathematische Nachrichten
2 Numerical Functional Analysis and Optimization
2 Quarterly of Applied Mathematics
2 Bulletin of the Korean Mathematical Society
2 Revista Matemática Iberoamericana
2 The Journal of Geometric Analysis
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Advances in Differential Equations
2 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki
2 Analysis and Applications (Singapore)
2 Advances in Difference Equations
2 Stochastic and Partial Differential Equations. Analysis and Computations
2 Advances in Nonlinear Analysis
2 Annals of PDE
1 Communications on Pure and Applied Mathematics
1 Journal of Fluid Mechanics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Czechoslovak Mathematical Journal
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Numerische Mathematik
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Siberian Mathematical Journal
1 Studies in Applied Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Acta Mathematicae Applicatae Sinica
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Theoretical Probability
1 Applications of Mathematics
1 SIAM Journal on Applied Mathematics
1 Journal of Partial Differential Equations
1 Potential Analysis
1 Applicationes Mathematicae
1 The Electronic Journal of Combinatorics
1 Bulletin des Sciences Mathématiques
1 Electronic Journal of Probability
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Communications in Nonlinear Science and Numerical Simulation
1 Qualitative Theory of Dynamical Systems
1 Mathematical Modelling and Analysis
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Hyperbolic Differential Equations
1 Oberwolfach Reports
1 Stochastics
1 Frontiers of Mathematics in China
1 Analysis & PDE
1 Differential Equations and Applications
1 Advances in Mathematical Physics
1 Journal of Geometric Mechanics
1 Communications in Mathematical Research
1 Journal of Applied Analysis and Computation
1 Journal of Elliptic and Parabolic Equations
1 Sibirskiĭ Zhurnal Chistoĭ i Prikladnoĭ Matematiki
...and 2 more Serials

Citations by Year