Li, Jinkai; Yuan, Guozhi Global well-posedness of \(z\)-weak solutions to the primitive equations without vertical diffusivity. (English) Zbl 1507.35189 J. Math. Phys. 63, No. 2, Article ID 021501, 24 p. (2022). MSC: 35Q35 86A05 86A10 35Q86 35Q30 PDFBibTeX XMLCite \textit{J. Li} and \textit{G. Yuan}, J. Math. Phys. 63, No. 2, Article ID 021501, 24 p. (2022; Zbl 1507.35189) Full Text: DOI arXiv
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity. (English) Zbl 1484.35315 Physica D 412, Article ID 132606, 25 p. (2020). MSC: 35Q35 35B30 35Q86 76D03 86A05 86A10 PDFBibTeX XMLCite \textit{C. Cao} et al., Physica D 412, Article ID 132606, 25 p. (2020; Zbl 1484.35315) Full Text: DOI arXiv
Li, Jinkai; Titi, Edriss S. The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: rigorous justification of the hydrostatic approximation. (English. French summary) Zbl 1412.35224 J. Math. Pures Appl. (9) 124, 30-58 (2019). MSC: 35Q30 35Q86 76D05 86A05 86A10 PDFBibTeX XMLCite \textit{J. Li} and \textit{E. S. Titi}, J. Math. Pures Appl. (9) 124, 30--58 (2019; Zbl 1412.35224) Full Text: DOI arXiv
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. (English) Zbl 1366.35123 J. Funct. Anal. 272, No. 11, 4606-4641 (2017). MSC: 35Q35 76D03 86A10 35D35 86A05 PDFBibTeX XMLCite \textit{C. Cao} et al., J. Funct. Anal. 272, No. 11, 4606--4641 (2017; Zbl 1366.35123) Full Text: DOI arXiv
Li, Jinkai; Titi, Edriss S. Existence and uniqueness of weak solutions to viscous primitive equations for a certain class of discontinuous initial data. (English) Zbl 1364.35275 SIAM J. Math. Anal. 49, No. 1, 1-28 (2017). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q35 76D03 76D05 86A10 35D30 PDFBibTeX XMLCite \textit{J. Li} and \textit{E. S. Titi}, SIAM J. Math. Anal. 49, No. 1, 1--28 (2017; Zbl 1364.35275) Full Text: DOI arXiv
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. (English) Zbl 1351.35125 Commun. Pure Appl. Math. 69, No. 8, 1492-1531 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 76N10 35B30 35Q86 86A05 86A10 35D35 PDFBibTeX XMLCite \textit{C. Cao} et al., Commun. Pure Appl. Math. 69, No. 8, 1492--1531 (2016; Zbl 1351.35125) Full Text: DOI arXiv Link
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. (English) Zbl 1300.35089 J. Differ. Equations 257, No. 11, 4108-4132 (2014). MSC: 35Q35 76D03 86A10 35D35 35A02 PDFBibTeX XMLCite \textit{C. Cao} et al., J. Differ. Equations 257, No. 11, 4108--4132 (2014; Zbl 1300.35089) Full Text: DOI arXiv
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. (English) Zbl 1305.35113 Arch. Ration. Mech. Anal. 214, No. 1, 35-76 (2014). MSC: 35Q35 86A10 76B60 35Q86 PDFBibTeX XMLCite \textit{C. Cao} et al., Arch. Ration. Mech. Anal. 214, No. 1, 35--76 (2014; Zbl 1305.35113) Full Text: DOI arXiv