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 Global regularity of the high-dimensional Oldroyd-B model in the corotational case. (English) Zbl 1442.35060 J. Math. Anal. Appl. 486, No. 2, Article ID 123867, 13 p. (2020). MSC: 35B65 35Q35 35R11 PDF BibTeX XML Cite \textit{Z. Ye}, J. Math. Anal. Appl. 486, No. 2, Article ID 123867, 13 p. (2020; Zbl 1442.35060) 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
Ye, Zhuan Global regularity for 2D SQG equation with variable viscosity term. (English) Zbl 1440.35023 Appl. Math. Lett. 102, Article ID 106153, 6 p. (2020). MSC: 35B65 35Q35 35Q86 PDF BibTeX XML Cite \textit{Z. Ye}, Appl. Math. Lett. 102, Article ID 106153, 6 p. (2020; Zbl 1440.35023) 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
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 An improved Beale-Kato-Majda criterion for the Boussinesq equations. (Chinese. English summary) Zbl 07266313 Acta Math. Appl. Sin. 42, No. 4, 482-491 (2019). MSC: 35B65 35Q35 PDF BibTeX XML Cite \textit{Z. Ye}, Acta Math. Appl. Sin. 42, No. 4, 482--491 (2019; Zbl 07266313)
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
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
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
Ye, Zhuan On global well-posedness for the 3D Boussinesq equations with fractional partial dissipation. (English) Zbl 1410.35146 Appl. Math. Lett. 90, 1-7 (2019). MSC: 35Q35 35R11 35A01 35A02 35B65 PDF BibTeX XML Cite \textit{Z. Ye}, Appl. Math. Lett. 90, 1--7 (2019; Zbl 1410.35146) 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 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
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
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 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
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 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
Ye, Zhuan Global regularity for a class of 2D tropical climate model. (English) Zbl 1353.35097 J. Math. Anal. Appl. 446, No. 1, 307-321 (2017). MSC: 35B65 35G55 86A10 PDF BibTeX XML Cite \textit{Z. Ye}, J. Math. Anal. Appl. 446, No. 1, 307--321 (2017; Zbl 1353.35097) Full Text: DOI
Ye, Zhuan On the regularity criteria of the 2D Boussinesq equations with partial dissipation. (English) Zbl 1359.35161 Comput. Math. Appl. 72, No. 7, 1880-1895 (2016). MSC: 35Q35 35B65 PDF BibTeX XML Cite \textit{Z. Ye}, Comput. Math. Appl. 72, No. 7, 1880--1895 (2016; Zbl 1359.35161) 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
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 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 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
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 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 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
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
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
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