Ye, Zhuan Global well-posedness for a model of 2D temperature-dependent Boussinesq equations without diffusivity. (English) Zbl 07283577 J. Differ. Equations 271, 107-127 (2021). MSC: 35Q35 35B65 76D03 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{Z. Ye}, J. Differ. Equations 271, 107--127 (2021; Zbl 07283577) Full Text: DOI
Ye, Zhuan Global regularity of the regularized Boussinesq equations with zero diffusion. (English) Zbl 1446.35147 Dyn. Partial Differ. Equ. 17, No. 3, 245-273 (2020). MSC: 35Q35 76D03 35Q86 86A05 35B65 PDF BibTeX XML Cite \textit{Z. Ye}, Dyn. Partial Differ. Equ. 17, No. 3, 245--273 (2020; Zbl 1446.35147) Full Text: DOI
Ye, Zhuan Regularity results for the 2D critical Oldroyd-B model in the corotational case. (English) Zbl 1440.76009 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1871-1913 (2020). MSC: 76A10 76D03 76A05 35Q35 PDF BibTeX XML Cite \textit{Z. Ye}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1871--1913 (2020; Zbl 1440.76009) Full Text: DOI
Ye, Zhuan Blow-up criterion of strong solution with vacuum for the 2D nonhomogeneous density-temperature-dependent Boussinesq equations. (English) Zbl 1442.35358 Z. Anal. Anwend. 39, No. 1, 83-101 (2020). MSC: 35Q35 76D03 35B65 35B44 35D35 80A19 PDF BibTeX XML Cite \textit{Z. Ye}, Z. Anal. Anwend. 39, No. 1, 83--101 (2020; Zbl 1442.35358) Full Text: DOI
Wang, Dehua; Wu, Jiahong; Ye, Zhuan Global regularity of the three-dimensional fractional micropolar equations. (English) Zbl 1434.35122 J. Math. Fluid Mech. 22, No. 2, Paper No. 28, 36 p. (2020). MSC: 35Q35 35B65 76B03 PDF BibTeX XML Cite \textit{D. Wang} et al., J. Math. Fluid Mech. 22, No. 2, Paper No. 28, 36 p. (2020; Zbl 1434.35122) Full Text: DOI
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan 2D tropical climate model with fractional dissipation and without thermal diffusion. (English) Zbl 1439.35479 Commun. Math. Sci. 18, No. 1, 259-292 (2020). MSC: 35Q86 86A05 35Q35 35R11 26A33 35B65 35D35 76D03 35A01 PDF BibTeX XML Cite \textit{B.-Q. Dong} et al., Commun. Math. Sci. 18, No. 1, 259--292 (2020; Zbl 1439.35479) Full Text: DOI
Ye, Zhuan On the global well-posedness of one-dimensional fluid models with nonlocal velocity. (English) Zbl 1435.35317 Pac. J. Math. 304, No. 2, 713-752 (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q35 76D03 35B60 35B65 35B44 44A15 35Q86 76U60 PDF BibTeX XML Cite \textit{Z. Ye}, Pac. J. Math. 304, No. 2, 713--752 (2020; Zbl 1435.35317) Full Text: DOI
Dong, Bo-Qing; Ye, Zhuan; Zhai, Xiaoping Global regularity for the 2D Boussinesq equations with temperature-dependent viscosity. (English) Zbl 1433.35265 J. Math. Fluid Mech. 22, No. 1, Paper No. 2, 16 p. (2020). MSC: 35Q35 35B65 76D03 35R11 42B25 PDF BibTeX XML Cite \textit{B.-Q. Dong} et al., J. Math. Fluid Mech. 22, No. 1, Paper No. 2, 16 p. (2020; Zbl 1433.35265) Full Text: DOI
Ye, Zhuan An alternative approach to global regularity for the 2D Euler-Boussinesq equations with critical dissipation. (English) Zbl 1431.35142 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111591, 5 p. (2020). MSC: 35Q35 35B65 76D03 35R11 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111591, 5 p. (2020; Zbl 1431.35142) Full Text: DOI
Ye, Zhuan On the global regularity for the anisotropic dissipative surface quasi-geostrophic equation. (English) Zbl 1429.35206 Nonlinearity 33, No. 1, 72-105 (2020). MSC: 35R11 35Q35 76U05 86A05 35A01 35B45 35B65 76D03 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinearity 33, No. 1, 72--105 (2020; Zbl 1429.35206) Full Text: DOI
Ye, Zhuan Global regularity results for the 2D Boussinesq equations and micropolar equations with partial dissipation. (English) Zbl 1427.35217 J. Differ. Equations 268, No. 3, 910-944 (2020). MSC: 35Q35 35B65 76B03 35R11 35A09 35A02 76A05 PDF BibTeX XML Cite \textit{Z. Ye}, J. Differ. Equations 268, No. 3, 910--944 (2020; Zbl 1427.35217) Full Text: DOI
Ye, Zhuan Remark on exponential decay-in-time of global strong solutions to 3D inhomogeneous incompressible micropolar equations. (English) Zbl 1428.35407 Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6725-6743 (2019). MSC: 35Q35 35B65 76N10 76D05 35D30 76A05 76U05 76D03 PDF BibTeX XML Cite \textit{Z. Ye}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 12, 6725--6743 (2019; Zbl 1428.35407) Full Text: DOI
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan Global regularity for a 2D tropical climate model with fractional dissipation. (English) Zbl 1415.86028 J. Nonlinear Sci. 29, No. 2, 511-550 (2019). MSC: 86A10 35Q86 35Q35 35D35 35B65 76D03 35R11 PDF BibTeX XML Cite \textit{B.-Q. Dong} et al., J. Nonlinear Sci. 29, No. 2, 511--550 (2019; Zbl 1415.86028) Full Text: DOI
Ye, Zhuan Global existence of strong solutions with vacuum to the multi-dimensional inhomogeneous incompressible MHD equations. (English) Zbl 1417.35147 J. Differ. Equations 267, No. 5, 2891-2917 (2019). MSC: 35Q35 35B65 76D05 35D35 35R11 76W05 35A01 PDF BibTeX XML Cite \textit{Z. Ye}, J. Differ. Equations 267, No. 5, 2891--2917 (2019; Zbl 1417.35147) Full Text: DOI
Ye, Zhuan On the global regularity of the 2D Oldroyd-B-type model. (English) Zbl 1415.76026 Ann. Mat. Pura Appl. (4) 198, No. 2, 465-489 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 76A10 35Q35 PDF BibTeX XML Cite \textit{Z. Ye}, Ann. Mat. Pura Appl. (4) 198, No. 2, 465--489 (2019; Zbl 1415.76026) Full Text: DOI
Ye, Zhuan Global regularity of the two-dimensional regularized MHD equations. (English) Zbl 1412.35273 Dyn. Partial Differ. Equ. 16, No. 2, 185-223 (2019). MSC: 35Q35 35B65 76D03 76W05 35R11 PDF BibTeX XML Cite \textit{Z. Ye}, Dyn. Partial Differ. Equ. 16, No. 2, 185--223 (2019; Zbl 1412.35273) Full Text: DOI arXiv
Dong, Bo-Qing; Wang, Wenjuan; Wu, Jiahong; Ye, Zhuan; Zhang, Hui Global regularity for a class of 2D generalized tropical climate models. (English) Zbl 1412.35249 J. Differ. Equations 266, No. 10, 6346-6382 (2019). MSC: 35Q35 35B40 35B65 76B03 86A10 35R11 42B25 PDF BibTeX XML Cite \textit{B.-Q. Dong} et al., J. Differ. Equations 266, No. 10, 6346--6382 (2019; Zbl 1412.35249) Full Text: DOI
Ye, Zhuan Global regularity of the 2D magnetohydrodynamic equations with fractional anisotropic dissipation. (English) Zbl 1412.35272 Nonlinear Anal., Real World Appl. 45, 320-356 (2019). MSC: 35Q35 76W05 35B65 35R11 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinear Anal., Real World Appl. 45, 320--356 (2019; Zbl 1412.35272) Full Text: DOI
Wen, Zhihong; Ye, Zhuan A logarithmically improved regularity criterion for the surface quasi-geostrophic equation. (English) Zbl 1409.76026 Comput. Math. Appl. 75, No. 4, 1368-1377 (2018). MSC: 76D05 35Q86 86A05 PDF BibTeX XML Cite \textit{Z. Wen} and \textit{Z. Ye}, Comput. Math. Appl. 75, No. 4, 1368--1377 (2018; Zbl 1409.76026) Full Text: DOI
Ye, Zhuan Some new regularity criteria for the 2D Euler-Boussinesq equations via the temperature. (English) Zbl 1409.35175 Acta Appl. Math. 157, No. 1, 141-169 (2018). MSC: 35Q35 35B65 76D03 PDF BibTeX XML Cite \textit{Z. Ye}, Acta Appl. Math. 157, No. 1, 141--169 (2018; Zbl 1409.35175) Full Text: DOI
Ye, Zhuan Remark on the regularity criteria via partial components of vorticity to the Navier-Stokes equations. (English) Zbl 1405.35145 Math. Methods Appl. Sci. 41, No. 16, 6702-6716 (2018). MSC: 35Q30 35B65 76D03 76D05 PDF BibTeX XML Cite \textit{Z. Ye}, Math. Methods Appl. Sci. 41, No. 16, 6702--6716 (2018; Zbl 1405.35145) Full Text: DOI
Ye, Zhuan; Zhao, Xiaopeng Global well-posedness of the generalized magnetohydrodynamic equations. (English) Zbl 1404.35374 Z. Angew. Math. Phys. 69, No. 5, Paper No. 126, 26 p. (2018). MSC: 35Q35 35B65 76W05 35R11 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{X. Zhao}, Z. Angew. Math. Phys. 69, No. 5, Paper No. 126, 26 p. (2018; Zbl 1404.35374) Full Text: DOI
Ye, Zhuan Note on global regularity of 2D regularized MHD equations with zero magnetic diffusion. (English) Zbl 1442.76157 J. Math. Anal. Appl. 468, No. 2, 1090-1097 (2018). MSC: 76W05 76D03 PDF BibTeX XML Cite \textit{Z. Ye}, J. Math. Anal. Appl. 468, No. 2, 1090--1097 (2018; Zbl 1442.76157) Full Text: DOI
Ye, Zhuan On the improved blow-up criterion for the 2D zero diffusivity Boussinesq equations with temperature-dependent viscosity. (English) Zbl 1398.35184 Appl. Anal. 97, No. 12, 2037-2058 (2018). MSC: 35Q35 35B65 76D03 35B44 PDF BibTeX XML Cite \textit{Z. Ye}, Appl. Anal. 97, No. 12, 2037--2058 (2018; Zbl 1398.35184) Full Text: DOI
Ye, Zhuan Remark on the global regularity of 2D MHD equations with almost Laplacian magnetic diffusion. (English) Zbl 1398.35183 J. Evol. Equ. 18, No. 2, 821-844 (2018). MSC: 35Q35 35B35 35B65 76D03 76W05 PDF BibTeX XML Cite \textit{Z. Ye}, J. Evol. Equ. 18, No. 2, 821--844 (2018; Zbl 1398.35183) Full Text: DOI
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
Ye, Zhuan Global regularity of the 2D anisotropic magnetic Bénard system with vertical dissipation. (English) Zbl 1394.35382 Nonlinear Anal., Real World Appl. 43, 407-427 (2018). MSC: 35Q35 76W05 35B65 35A09 76R10 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinear Anal., Real World Appl. 43, 407--427 (2018; Zbl 1394.35382) Full Text: DOI
Ye, Zhuan Global existence of strong solution to the 3D micropolar equations with a damping term. (English) Zbl 06892578 Appl. Math. Lett. 83, 188-193 (2018). MSC: 35 76 PDF BibTeX XML Cite \textit{Z. Ye}, Appl. Math. Lett. 83, 188--193 (2018; Zbl 06892578) 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
Ye, Zhuan On regularity criteria of the 2D generalized MHD equations. (English) Zbl 1387.35083 J. Math. Anal. Appl. 463, No. 2, 989-1005 (2018). MSC: 35B65 76W05 35Q35 PDF BibTeX XML Cite \textit{Z. Ye}, J. Math. Anal. Appl. 463, No. 2, 989--1005 (2018; Zbl 1387.35083) Full Text: DOI
Ye, Zhuan Global regularity of the 2D magnetic Bénard system with partial dissipation. (English) Zbl 1420.35267 Adv. Differ. Equ. 23, No. 3-4, 193-238 (2018). Reviewer: Vishnu Dutt Sharma (Mumbai) MSC: 35Q35 35B65 76D03 76R10 76W05 PDF BibTeX XML Cite \textit{Z. Ye}, Adv. Differ. Equ. 23, No. 3--4, 193--238 (2018; Zbl 1420.35267) Full Text: Euclid
Ye, Zhuan; Zhang, Zujin A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity. (English) Zbl 1411.35232 Appl. Math. Comput. 301, 70-77 (2017). MSC: 35Q35 35B65 76W05 PDF BibTeX XML Cite \textit{Z. Ye} and \textit{Z. Zhang}, Appl. Math. Comput. 301, 70--77 (2017; Zbl 1411.35232) Full Text: DOI
Ye, Zhuan An improved regularity criterion for the 2D inviscid Boussinesq equations. (English) Zbl 1400.35056 Comput. Math. Appl. 74, No. 12, 3095-3098 (2017). MSC: 35B65 35B60 35Q35 76B03 PDF BibTeX XML Cite \textit{Z. Ye}, Comput. Math. Appl. 74, No. 12, 3095--3098 (2017; Zbl 1400.35056) Full Text: DOI
Ye, Zhuan A logarithmically improved regularity criterion for the 3D Hall-MHD equations in Besov spaces with negative indices. (English) Zbl 1378.35253 Appl. Anal. 96, No. 16, 2669-2683 (2017). MSC: 35Q35 35B65 76W05 PDF BibTeX XML Cite \textit{Z. Ye}, Appl. Anal. 96, No. 16, 2669--2683 (2017; Zbl 1378.35253) Full Text: DOI
Ye, Zhuan Global regularity for a 3D Boussinesq model without thermal diffusion. (English) Zbl 1379.35258 Z. Angew. Math. Phys. 68, No. 4, Paper No. 83, 9 p. (2017). MSC: 35Q35 35B65 76D05 PDF BibTeX XML Cite \textit{Z. Ye}, Z. Angew. Math. Phys. 68, No. 4, Paper No. 83, 9 p. (2017; Zbl 1379.35258) 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 Remarks on regularity criteria for 2D generalized MHD equations. (English) Zbl 1375.35068 Rocky Mt. J. Math. 47, No. 4, 1333-1353 (2017). MSC: 35B65 35B35 35Q35 76D03 76W05 PDF BibTeX XML Cite \textit{Z. Ye}, Rocky Mt. J. Math. 47, No. 4, 1333--1353 (2017; Zbl 1375.35068) Full Text: DOI Euclid
Ye, Zhuan Global smooth solution to the 2D Boussinesq equations with fractional dissipation. (English) Zbl 1369.35072 Math. Methods Appl. Sci. 40, No. 12, 4595-4612 (2017). MSC: 35Q35 35B65 76D03 PDF BibTeX XML Cite \textit{Z. Ye}, Math. Methods Appl. Sci. 40, No. 12, 4595--4612 (2017; Zbl 1369.35072) Full Text: DOI arXiv
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
Ye, Zhuan Regularity criterion of the 2D Bénard equations with critical and supercritical dissipation. (English) Zbl 1367.35135 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 111-143 (2017). MSC: 35Q35 35B65 76D03 76R10 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 156, 111--143 (2017; Zbl 1367.35135) Full Text: DOI
Gala, Sadek; Ragusa, Alessandra Maria; Ye, Zhuan An improved blow-up criterion for smooth solutions of the two-dimensional MHD equations. (English) Zbl 1356.35176 Math. Methods Appl. Sci. 40, No. 1, 279-285 (2017). MSC: 35Q35 76D05 35B65 76W05 PDF BibTeX XML Cite \textit{S. Gala} et al., Math. Methods Appl. Sci. 40, No. 1, 279--285 (2017; Zbl 1356.35176) Full Text: DOI
Ye, Zhuan Remarks on the improved regularity criterion for the 2D Euler-Boussinesq equations with supercritical dissipation. (English) Zbl 1358.35139 Z. Angew. Math. Phys. 67, No. 6, Article ID 149, 18 p. (2016). MSC: 35Q35 35B65 76D03 42B25 PDF BibTeX XML Cite \textit{Z. Ye}, Z. Angew. Math. Phys. 67, No. 6, Article ID 149, 18 p. (2016; Zbl 1358.35139) 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 A note on global regularity results for 2D Boussinesq equations with fractional dissipation. (English) Zbl 1358.35138 Ann. Pol. Math. 117, No. 3, 231-247 (2016). MSC: 35Q35 35B65 76D03 26A33 PDF BibTeX XML Cite \textit{Z. Ye}, Ann. Pol. Math. 117, No. 3, 231--247 (2016; Zbl 1358.35138) Full Text: DOI arXiv
Ye, Zhuan Remarks on the regularity criterion to the 3D Navier-Stokes equations via one velocity component. (English) Zbl 1389.35108 Differ. Integral Equ. 29, No. 9-10, 957-976 (2016). MSC: 35B65 35Q30 76D03 PDF BibTeX XML Cite \textit{Z. Ye}, Differ. Integral Equ. 29, No. 9--10, 957--976 (2016; Zbl 1389.35108)
Ye, Zhuan Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity. (English) Zbl 1348.35206 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 182-193 (2016). Reviewer: Cheng He (Beijing) MSC: 35Q35 35B65 35Q85 76W05 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 182--193 (2016; Zbl 1348.35206) Full Text: DOI
Ye, Zhuan Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations. (English) Zbl 1379.35257 Ann. Mat. Pura Appl. (4) 195, No. 4, 1111-1121 (2016). Reviewer: Thomas Hagen (Memphis) MSC: 35Q35 35B65 76W05 35B40 35A01 PDF BibTeX XML Cite \textit{Z. Ye}, Ann. Mat. Pura Appl. (4) 195, No. 4, 1111--1121 (2016; Zbl 1379.35257) 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 A logarithmically improved regularity criterion of smooth solutions for the 3D Boussinesq equations. (English) Zbl 1342.35272 Osaka J. Math. 53, No. 2, 417-423 (2016). MSC: 35Q35 35B65 76F55 PDF BibTeX XML Cite \textit{Z. Ye}, Osaka J. Math. 53, No. 2, 417--423 (2016; Zbl 1342.35272) Full Text: Euclid
Ye, Zhuan On the regularity criterion for the 2D Boussinesq equations involving the temperature. (English) Zbl 1335.35207 Appl. Anal. 95, No. 3, 615-626 (2016). MSC: 35Q35 35B65 76D03 26A33 PDF BibTeX XML Cite \textit{Z. Ye}, Appl. Anal. 95, No. 3, 615--626 (2016; Zbl 1335.35207) Full Text: DOI
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
Ye, Zhuan Remarks on the regularity criterion to the Navier-Stokes equations via the gradient of one velocity component. (English) Zbl 1333.35166 J. Math. Anal. Appl. 435, No. 2, 1623-1633 (2016). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q30 76D05 35B65 35D30 PDF BibTeX XML Cite \textit{Z. Ye}, J. Math. Anal. Appl. 435, No. 2, 1623--1633 (2016; Zbl 1333.35166) 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 Regularity criteria and small data global existence to the generalized viscous Hall-magnetohydrodynamics. (English) Zbl 1443.35116 Comput. Math. Appl. 70, No. 8, 2137-2154 (2015). MSC: 35Q35 35B65 76W05 78A25 PDF BibTeX XML Cite \textit{Z. Ye}, Comput. Math. Appl. 70, No. 8, 2137--2154 (2015; Zbl 1443.35116) 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 A note on global well-posedness of solutions to Boussinesq equations with fractional dissipation. (English) Zbl 1340.35277 Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 1, 112-120 (2015). MSC: 35Q35 76D03 35Q53 35R11 35B30 PDF BibTeX XML Cite \textit{Z. Ye}, Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 1, 112--120 (2015; Zbl 1340.35277) 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
Ye, Zhuan A regularity criterion for the 2D MHD and viscoelastic fluid equations. (English) Zbl 1325.35174 Ann. Pol. Math. 114, No. 2, 123-131 (2015). MSC: 35Q35 76A10 35B44 35B65 76W05 PDF BibTeX XML Cite \textit{Z. Ye}, Ann. Pol. Math. 114, No. 2, 123--131 (2015; Zbl 1325.35174) 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
Ye, Zhuan Regularity criteria for 3D Boussinesq equations with zero thermal diffusion. (English) Zbl 1314.35115 Electron. J. Differ. Equ. 2015, Paper No. 97, 7 p. (2015). MSC: 35Q35 35B65 76R10 PDF BibTeX XML Cite \textit{Z. Ye}, Electron. J. Differ. Equ. 2015, Paper No. 97, 7 p. (2015; Zbl 1314.35115) Full Text: EMIS
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
Ye, Zhuan Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms. (English) Zbl 1316.35247 Colloq. Math. 139, No. 2, 185-203 (2015). MSC: 35Q35 35B35 35B65 76D03 76W05 35D35 PDF BibTeX XML Cite \textit{Z. Ye}, Colloq. Math. 139, No. 2, 185--203 (2015; Zbl 1316.35247) 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 Blow-up criterion of smooth solutions for the Boussinesq equations. (English) Zbl 1300.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 110, 97-103 (2014). MSC: 35Q35 35B65 76D03 35B44 26A33 35R11 PDF BibTeX XML Cite \textit{Z. Ye}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 110, 97--103 (2014; Zbl 1300.35109) Full Text: DOI
Ye, Zhuan Two regularity criteria to the 2D generalized MHD equations with zero magnetic diffusivity. (English) Zbl 1446.76187 J. Math. Anal. Appl. 420, No. 2, 954-971 (2014). MSC: 76W05 76D03 35R11 PDF BibTeX XML Cite \textit{Z. Ye}, J. Math. Anal. Appl. 420, No. 2, 954--971 (2014; Zbl 1446.76187) 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