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
Kukavica, Igor; Wang, Weinan Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity. (English) Zbl 1452.35039 J. Dyn. Differ. Equations 32, No. 4, 2061-2077 (2020). MSC: 35B40 35Q35 PDF BibTeX XML Cite \textit{I. Kukavica} and \textit{W. Wang}, J. Dyn. Differ. Equations 32, No. 4, 2061--2077 (2020; Zbl 1452.35039) 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
Gancedo, Francisco; García-Juárez, Eduardo Regularity results for viscous 3D Boussinesq temperature fronts. (English) Zbl 1448.76082 Commun. Math. Phys. 376, No. 3, 1705-1736 (2020). MSC: 76D99 35Q35 35Q79 80A19 PDF BibTeX XML Cite \textit{F. Gancedo} and \textit{E. García-Juárez}, Commun. Math. Phys. 376, No. 3, 1705--1736 (2020; Zbl 1448.76082) Full Text: DOI
Tao, Lizheng; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion. (English) Zbl 1437.35549 Arch. Ration. Mech. Anal. 237, No. 2, 585-630 (2020). MSC: 35Q30 76D03 76D05 35B20 PDF BibTeX XML Cite \textit{L. Tao} et al., Arch. Ration. Mech. Anal. 237, No. 2, 585--630 (2020; Zbl 1437.35549) Full Text: DOI
Paicu, Marius; Zhu, Ning On the striated regularity for the 2D anisotropic Boussinesq system. (English) Zbl 1437.35544 J. Nonlinear Sci. 30, No. 3, 1115-1164 (2020). MSC: 35Q30 76D03 76D05 35B65 42B25 35D35 PDF BibTeX XML Cite \textit{M. Paicu} and \textit{N. Zhu}, J. Nonlinear Sci. 30, No. 3, 1115--1164 (2020; Zbl 1437.35544) Full Text: DOI
Li, Siran; Wu, Jiahong; Zhao, Kun On the degenerate Boussinesq equations on surfaces. (English) Zbl 1437.35582 J. Geom. Mech. 12, No. 1, 107-140 (2020). MSC: 35Q35 58J90 76D03 76D45 35D35 PDF BibTeX XML Cite \textit{S. Li} et al., J. Geom. Mech. 12, No. 1, 107--140 (2020; Zbl 1437.35582) 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
Li, Kaiqiang; Wang, Weike Pointwise stability of shock wave for 2D anisotropic viscous conservation laws with large perturbation. (English) Zbl 1437.35058 Nonlinear Anal., Real World Appl. 52, Article ID 103045, 24 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35B35 35L65 35L67 35R11 35K15 35K58 PDF BibTeX XML Cite \textit{K. Li} and \textit{W. Wang}, Nonlinear Anal., Real World Appl. 52, Article ID 103045, 24 p. (2020; Zbl 1437.35058) 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
Wang, Weinan On the global regularity for a 3D Boussinesq model without thermal diffusion. (English) Zbl 1433.35304 Z. Angew. Math. Phys. 70, No. 6, Paper No. 174, 6 p. (2019). MSC: 35Q35 35B65 35A02 76D05 PDF BibTeX XML Cite \textit{W. Wang}, Z. Angew. Math. Phys. 70, No. 6, Paper No. 174, 6 p. (2019; Zbl 1433.35304) Full Text: DOI
Ji, Ruihong; Li, Dan; Wei, Youhua; Wu, Jiahong Stability of hydrostatic equilibrium to the 2D Boussinesq systems with partial dissipation. (English) Zbl 1448.35397 Appl. Math. Lett. 98, 392-397 (2019). MSC: 35Q35 35B35 35B20 80A19 PDF BibTeX XML Cite \textit{R. Ji} et al., Appl. Math. Lett. 98, 392--397 (2019; Zbl 1448.35397) Full Text: DOI
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
Guo, Meiqi; Zhang, Qian On the global well-posedness for the two-dimensional Boussinesq equations with horizontal dissipation. (English) Zbl 1407.76028 Math. Methods Appl. Sci. 42, No. 1, 322-345 (2019). MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{M. Guo} and \textit{Q. Zhang}, Math. Methods Appl. Sci. 42, No. 1, 322--345 (2019; Zbl 1407.76028) Full Text: DOI
Doering, Charles R.; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming Long time behavior of the two-dimensional Boussinesq equations without buoyancy diffusion. (English) Zbl 1398.35164 Physica D 376-377, 144-159 (2018). MSC: 35Q35 35A01 35B20 35C05 65M60 PDF BibTeX XML Cite \textit{C. R. Doering} et al., Physica D 376--377, 144--159 (2018; Zbl 1398.35164) Full Text: DOI
Hu, Weiwei; Wang, Yanzhen; Wu, Jiahong; Xiao, Bei; Yuan, Jia Partially dissipative 2D Boussinesq equations with Navier type boundary conditions. (English) Zbl 1398.35007 Physica D 376-377, 39-48 (2018). MSC: 35A01 35A02 35Q86 35D35 PDF BibTeX XML Cite \textit{W. Hu} et al., Physica D 376--377, 39--48 (2018; Zbl 1398.35007) 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
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
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
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
Gancedo, Francisco; García-Juárez, Eduardo Global regularity for 2D Boussinesq temperature patches with no diffusion. (English) Zbl 1403.35236 Ann. PDE 3, No. 2, Paper No. 14, 34 p. (2017). MSC: 35Q35 76D05 80A20 35B65 45E05 PDF BibTeX XML Cite \textit{F. Gancedo} and \textit{E. García-Juárez}, Ann. PDE 3, No. 2, Paper No. 14, 34 p. (2017; Zbl 1403.35236) Full Text: DOI arXiv
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
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
Chen, Chao; Liu, Jitao Global well-posedness of 2D nonlinear Boussinesq equations with mixed partial viscosity and thermal diffusivity. (English) Zbl 1373.35084 Math. Methods Appl. Sci. 40, No. 12, 4412-4424 (2017). MSC: 35D30 35B30 76D05 86A04 35Q35 PDF BibTeX XML Cite \textit{C. Chen} and \textit{J. Liu}, Math. Methods Appl. Sci. 40, No. 12, 4412--4424 (2017; Zbl 1373.35084) 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
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
Zhou, Daoguo; Li, Zilai Global well-posedness for the 2D Boussinesq equations with zero viscosity. (English) Zbl 1354.35120 J. Math. Anal. Appl. 447, No. 2, 1072-1079 (2017). MSC: 35Q35 35B65 76B03 PDF BibTeX XML Cite \textit{D. Zhou} and \textit{Z. Li}, J. Math. Anal. Appl. 447, No. 2, 1072--1079 (2017; Zbl 1354.35120) Full Text: DOI arXiv
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; 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
Yu, Yanghai; Wu, Xing; Tang, Yanbin A magnetic regularity criterion for the 2D MHD equations with velocity dissipation. (English) Zbl 1344.35112 Bound. Value Probl. 2016, Paper No. 113, 13 p. (2016). MSC: 35Q35 35Q53 76W05 35B65 PDF BibTeX XML Cite \textit{Y. Yu} et al., Bound. Value Probl. 2016, Paper No. 113, 13 p. (2016; Zbl 1344.35112) 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; 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