Qiu, Hua; Yao, Zheng-An The regularized Boussinesq equations with partial dissipations in dimension two. (English) Zbl 07300748 Electron Res. Arch. 28, No. 4, 1375-1393 (2020). MSC: 35Q35 76D03 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{H. Qiu} and \textit{Z.-A. Yao}, Electron Res. Arch. 28, No. 4, 1375--1393 (2020; Zbl 07300748) Full Text: DOI
Dai, Yichen; Hu, Weiwei; Wu, Jiahong; Xiao, Bei The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations. (English) Zbl 1444.42023 Anal. Appl., Singap. 18, No. 4, 639-682 (2020). MSC: 42B25 42B37 35A02 35Q35 76D03 PDF BibTeX XML Cite \textit{Y. Dai} et al., Anal. Appl., Singap. 18, No. 4, 639--682 (2020; Zbl 1444.42023) 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
Ju, Luman On the profiles of locally self-similar solutions for the 2D inviscid Boussinesq equations. (English) Zbl 1433.35282 J. Math. Anal. Appl. 484, No. 1, Article ID 123671, 31 p. (2020). MSC: 35Q35 35C06 35B44 35B40 35Q31 76R10 PDF BibTeX XML Cite \textit{L. Ju}, J. Math. Anal. Appl. 484, No. 1, Article ID 123671, 31 p. (2020; Zbl 1433.35282) 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
Shang, Haifeng Global regularity results for the 2D magnetic Bénard problem with fractional dissipation. (English) Zbl 1421.35291 J. Math. Fluid Mech. 21, No. 3, Paper No. 39, 35 p. (2019). MSC: 35Q35 35B65 76D03 35R11 76W05 76R10 PDF BibTeX XML Cite \textit{H. Shang}, J. Math. Fluid Mech. 21, No. 3, Paper No. 39, 35 p. (2019; Zbl 1421.35291) 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
Manna, Utpal; Panda, Akash A. Higher order regularity and blow-up criterion for semi-dissipative and ideal Boussinesq equations. (English) Zbl 1414.76047 J. Math. Phys. 60, No. 4, 041503, 22 p. (2019). MSC: 76R05 76R10 76R50 35A01 35A02 35D35 35B44 76D17 PDF BibTeX XML Cite \textit{U. Manna} and \textit{A. A. Panda}, J. Math. Phys. 60, No. 4, 041503, 22 p. (2019; Zbl 1414.76047) Full Text: DOI arXiv
Ma, Liangliang Global regularity results for the \(2\frac{1}{2}\)D magnetic Bénard system with mixed partial viscosity. (English) Zbl 1414.35172 Appl. Anal. 98, No. 6, 1143-1164 (2019). MSC: 35Q35 35A01 35B65 76D03 76R10 78A25 76W05 PDF BibTeX XML Cite \textit{L. Ma}, Appl. Anal. 98, No. 6, 1143--1164 (2019; Zbl 1414.35172) Full Text: DOI
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
Zhou, Daoguo; Li, Zilai; Shang, Haifeng; Wu, Jiahong; Yuan, Baoquan; Zhao, Jiefeng Global well-posedness for the 2D fractional Boussinesq equations in the subcritical case. (English) Zbl 1456.35174 Pac. J. Math. 298, No. 1, 233-255 (2019). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q35 35B65 35A01 35A02 76A10 35R11 PDF BibTeX XML Cite \textit{D. Zhou} et al., Pac. J. Math. 298, No. 1, 233--255 (2019; Zbl 1456.35174) 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 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
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
Xu, Xiaojing; Zhu, Ning Global well-posedness for the 2D Boussinesq equations with partial temperature-dependent dissipative terms. (English) Zbl 1394.35379 J. Math. Anal. Appl. 466, No. 1, 351-372 (2018). MSC: 35Q35 35A01 35A02 26A33 76D33 76D03 PDF BibTeX XML Cite \textit{X. Xu} and \textit{N. Zhu}, J. Math. Anal. Appl. 466, No. 1, 351--372 (2018; Zbl 1394.35379) 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
Fang, Daoyuan; Le, Wenjun; Zhang, Ting The 2D regularized incompressible Boussinesq equations with general critical dissipations. (English) Zbl 1390.35268 J. Math. Anal. Appl. 461, No. 1, 868-915 (2018). MSC: 35Q35 26A33 35B65 76D05 35A01 35A02 PDF BibTeX XML Cite \textit{D. Fang} et al., J. Math. Anal. Appl. 461, No. 1, 868--915 (2018; Zbl 1390.35268) Full Text: DOI
Qiu, Hua; Yao, Zheng’an Well-posedness for density-dependent Boussinesq equations without dissipation terms in Besov spaces. (English) Zbl 1375.35394 Comput. Math. Appl. 73, No. 9, 1920-1931 (2017). MSC: 35Q35 35B35 35B65 76D03 PDF BibTeX XML Cite \textit{H. Qiu} and \textit{Z. Yao}, Comput. Math. Appl. 73, No. 9, 1920--1931 (2017; Zbl 1375.35394) Full Text: DOI
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
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar A survey of useful inequalities in fractional calculus. (English) Zbl 1367.26016 Fract. Calc. Appl. Anal. 20, No. 3, 574-594 (2017). MSC: 26A33 34A08 35R11 PDF BibTeX XML Cite \textit{A. Alsaedi} et al., Fract. Calc. Appl. Anal. 20, No. 3, 574--594 (2017; Zbl 1367.26016) 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
Cui, Xiaona The regularity criterion for weak solutions to the \(n\)-dimensional Boussinesq system. (English) Zbl 1360.35173 Bound. Value Probl. 2017, Paper No. 44, 12 p. (2017). MSC: 35Q35 76B03 PDF BibTeX XML Cite \textit{X. Cui}, Bound. Value Probl. 2017, Paper No. 44, 12 p. (2017; Zbl 1360.35173) 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