Dong, Bo-Qing; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global regularity for the 2D micropolar equations with fractional dissipation. (English) Zbl 1397.35204 Discrete Contin. Dyn. Syst. 38, No. 8, 4133-4162 (2018). MSC: 35Q35 35B65 76A10 76B03 35B45 35R11 76U05 PDF BibTeX XML Cite \textit{B.-Q. Dong} et al., Discrete Contin. Dyn. Syst. 38, No. 8, 4133--4162 (2018; Zbl 1397.35204) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion. (English. French summary) Zbl 1392.35240 J. Math. Pures Appl. (9) 115, 187-217 (2018). MSC: 35Q35 35B65 76D03 35B45 35R11 PDF BibTeX XML Cite \textit{J. Wu} et al., J. Math. Pures Appl. (9) 115, 187--217 (2018; Zbl 1392.35240) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global regularity for several incompressible fluid models with partial dissipation. (English) Zbl 1379.35255 J. Math. Fluid Mech. 19, No. 3, 423-444 (2017). MSC: 35Q35 35B45 35B65 76D03 76D09 35Q31 86A05 26A33 PDF BibTeX XML Cite \textit{J. Wu} et al., J. Math. Fluid Mech. 19, No. 3, 423--444 (2017; Zbl 1379.35255) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing; Xue, Liutang On the global regularity of the 2D Boussinesq equations with fractional dissipation. (English) Zbl 1372.35254 Math. Nachr. 290, No. 8-9, 1420-1439 (2017). MSC: 35Q35 35B65 76D03 35R11 PDF BibTeX XML Cite \textit{Z. Ye} et al., Math. Nachr. 290, No. 8--9, 1420--1439 (2017; Zbl 1372.35254) Full Text: DOI
Li, Jingna; Shang, Haifeng; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Regularity criteria for the 2D Boussinesq equations with supercritical dissipation. (English) Zbl 1355.35152 Commun. Math. Sci. 14, No. 7, 1999-2022 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q35 35B65 76B03 PDF BibTeX XML Cite \textit{J. Li} et al., Commun. Math. Sci. 14, No. 7, 1999--2022 (2016; Zbl 1355.35152) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. (English) Zbl 1358.35136 Commun. Math. Sci. 14, No. 7, 1963-1997 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 35B65 76D03 PDF BibTeX XML Cite \textit{J. Wu} et al., Commun. Math. Sci. 14, No. 7, 1963--1997 (2016; Zbl 1358.35136) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Global regularity for the 2D Oldroyd-B model in the corotational case. (English) Zbl 1343.76003 Math. Methods Appl. Sci. 39, No. 13, 3866-3879 (2016). MSC: 76A10 76D03 76A05 76N99 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, Math. Methods Appl. Sci. 39, No. 13, 3866--3879 (2016; Zbl 1343.76003) Full Text: DOI arXiv
Hou, Qianqian; Xu, Xiaojing; Ye, Zhuan Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum. (English) Zbl 1344.35080 Electron. J. Differ. Equ. 2016, Paper No. 192, 12 p. (2016). MSC: 35Q30 35B40 76D03 76D05 35B44 35D35 PDF BibTeX XML Cite \textit{Q. Hou} et al., Electron. J. Differ. Equ. 2016, Paper No. 192, 12 p. (2016; Zbl 1344.35080) Full Text: EMIS
Ye, Zhuan; Xu, Xiaojing Global regularity results of the 2D Boussinesq equations with fractional Laplacian dissipation. (English) Zbl 1346.35168 J. Math. Fluid Mech. 18, No. 2, 361-380 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 35B65 76D03 26A33 42B25 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, J. Math. Fluid Mech. 18, No. 2, 361--380 (2016; Zbl 1346.35168) Full Text: DOI arXiv
Ye, Zhuan; Xu, Xiaojing Global well-posedness of the 2D Boussinesq equations with fractional Laplacian dissipation. (English) Zbl 1341.35135 J. Differ. Equations 260, No. 8, 6716-6744 (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35B65 76D03 26A33 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, J. Differ. Equations 260, No. 8, 6716--6744 (2016; Zbl 1341.35135) Full Text: DOI
Adhikari, Dhanapati; Cao, Chongsheng; Shang, Haifeng; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global regularity results for the 2D Boussinesq equations with partial dissipation. (English) Zbl 1328.35161 J. Differ. Equations 260, No. 2, 1893-1917 (2016). MSC: 35Q35 35B65 35Q85 76W05 85A30 76R10 35B45 PDF BibTeX XML Cite \textit{D. Adhikari} et al., J. Differ. Equations 260, No. 2, 1893--1917 (2016; Zbl 1328.35161) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing A note on blow-up criterion of strong solutions for the 3D inhomogeneous incompressible Navier-Stokes equations with vacuum. (English) Zbl 1332.35304 Math. Phys. Anal. Geom. 18, No. 1, Article ID 24, 10 p. (2015). MSC: 35Q35 35B65 76D03 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, Math. Phys. Anal. Geom. 18, No. 1, Article ID 24, 10 p. (2015; Zbl 1332.35304) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Remarks on global regularity of the 2D Boussinesq equations with fractional dissipation. (English) Zbl 1405.35171 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 715-724 (2015). MSC: 35Q35 35B65 76D03 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 715--724 (2015; Zbl 1405.35171) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan; Zhang, Zujin Remark on an improved regularity criterion for the 3D MHD equations. (English) Zbl 1316.35065 Appl. Math. Lett. 42, 41-46 (2015). MSC: 35B65 76W05 PDF BibTeX XML Cite \textit{X. Xu} et al., Appl. Math. Lett. 42, 41--46 (2015; Zbl 1316.35065) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan Note on global regularity of 3D generalized magnetohydrodynamic-\(\alpha\) model with zero diffusivity. (English) Zbl 1314.35114 Commun. Pure Appl. Anal. 14, No. 2, 585-595 (2015). MSC: 35Q35 76D03 76W05 35R11 35B65 PDF BibTeX XML Cite \textit{X. Xu} and \textit{Z. Ye}, Commun. Pure Appl. Anal. 14, No. 2, 585--595 (2015; Zbl 1314.35114) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum. (English) Zbl 1311.35236 J. Nonlinear Sci. 25, No. 1, 157-192 (2015). MSC: 35Q35 35B35 35B65 76D03 76W05 35Q86 86A10 76E06 PDF BibTeX XML Cite \textit{J. Wu} et al., J. Nonlinear Sci. 25, No. 1, 157--192 (2015; Zbl 1311.35236) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Global regularity of 3D generalized incompressible magnetohydrodynamic-\(\alpha\) model. (English) Zbl 1314.76023 Appl. Math. Lett. 35, 1-6 (2014). MSC: 76D03 35Q35 35B65 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, Appl. Math. Lett. 35, 1--6 (2014; Zbl 1314.76023) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Global regularity of the two-dimensional incompressible generalized magnetohydrodynamics system. (English) Zbl 1288.35406 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 86-96 (2014). Reviewer: Iván Abonyi (Budapest) MSC: 35Q35 35B35 35B65 76D03 76W05 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 86--96 (2014; Zbl 1288.35406) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan The lifespan of solutions to the inviscid 3D Boussinesq system. (English) Zbl 1314.35113 Appl. Math. Lett. 26, No. 8, 854-859 (2013). MSC: 35Q35 42B25 76B03 PDF BibTeX XML Cite \textit{X. Xu} and \textit{Z. Ye}, Appl. Math. Lett. 26, No. 8, 854--859 (2013; Zbl 1314.35113) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan Life span of solutions with large initial data for a class of coupled parabolic systems. (English) Zbl 1270.35138 Z. Angew. Math. Phys. 64, No. 3, 705-717 (2013). MSC: 35B44 35K58 35K51 PDF BibTeX XML Cite \textit{X. Xu} and \textit{Z. Ye}, Z. Angew. Math. Phys. 64, No. 3, 705--717 (2013; Zbl 1270.35138) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources. (English) Zbl 1263.35128 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 115-126 (2013). MSC: 35K45 74H40 35K65 35K59 35B44 35R09 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 115--126 (2013; Zbl 1263.35128) Full Text: DOI