Paicu, Marius; Zhu, Ning On the Yudovich’s type solutions for the 2D Boussinesq system with thermal diffusivity. (English) Zbl 1447.35273 Discrete Contin. Dyn. Syst. 40, No. 10, 5711-5728 (2020). MSC: 35Q35 35K59 76B03 76B47 35B65 PDF BibTeX XML Cite \textit{M. Paicu} and \textit{N. Zhu}, Discrete Contin. Dyn. Syst. 40, No. 10, 5711--5728 (2020; Zbl 1447.35273) Full Text: DOI
Yu, Yanghai; Tang, Yanbin Initial boundary value problem for 3D Boussinesq system with the thermal damping. (English) Zbl 1441.35204 Osaka J. Math. 57, No. 1, 61-83 (2020). MSC: 35Q35 35B65 76W05 PDF BibTeX XML Cite \textit{Y. Yu} and \textit{Y. Tang}, Osaka J. Math. 57, No. 1, 61--83 (2020; Zbl 1441.35204) Full Text: Euclid
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, Yang Global weak solutions to the three-dimensional inviscid Boussinesq system in the presence of magnetic field. (English) Zbl 1433.35289 Z. Angew. Math. Phys. 70, No. 6, Paper No. 172, 10 p. (2019). MSC: 35Q35 35M11 35D30 35Q31 76W05 76N10 76D03 76B03 PDF BibTeX XML Cite \textit{Y. Li}, Z. Angew. Math. Phys. 70, No. 6, Paper No. 172, 10 p. (2019; Zbl 1433.35289) Full Text: DOI
Zhai, Xiaoping; Dong, Bo-Qing; Chen, Zhi-Min Global well-posedness for 2-D Boussinesq system with the temperature-dependent viscosity and supercritical dissipation. (English) Zbl 1414.35153 J. Differ. Equations 267, No. 1, 364-387 (2019). MSC: 35Q30 35Q35 76D03 42B25 PDF BibTeX XML Cite \textit{X. Zhai} et al., J. Differ. Equations 267, No. 1, 364--387 (2019; Zbl 1414.35153) Full Text: DOI
Zhai, Xiaoping; Chen, Zhi-Min Global well-posedness for the MHD-Boussinesq system with the temperature-dependent viscosity. (English) Zbl 1406.35308 Nonlinear Anal., Real World Appl. 44, 260-282 (2018). MSC: 35Q35 76W05 42B25 35B44 PDF BibTeX XML Cite \textit{X. Zhai} and \textit{Z.-M. Chen}, Nonlinear Anal., Real World Appl. 44, 260--282 (2018; Zbl 1406.35308) 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
Lopes, Juliana Honda; Planas, Gabriela Well-posedness for a non-isothermal flow of two viscous incompressible fluids. (English) Zbl 1397.35216 Commun. Pure Appl. Anal. 17, No. 6, 2455-2477 (2018). MSC: 35Q35 35A01 35K20 76D05 35R35 35K05 PDF BibTeX XML Cite \textit{J. H. Lopes} and \textit{G. Planas}, Commun. Pure Appl. Anal. 17, No. 6, 2455--2477 (2018; Zbl 1397.35216) Full Text: DOI
Lam, Kei Fong; Wu, Hao Thermodynamically consistent Navier-Stokes-Cahn-Hilliard models with mass transfer and chemotaxis. (English) Zbl 1397.92100 Eur. J. Appl. Math. 29, No. 4, 595-644 (2018). MSC: 92C17 35Q30 PDF BibTeX XML Cite \textit{K. F. Lam} and \textit{H. Wu}, Eur. J. Appl. Math. 29, No. 4, 595--644 (2018; Zbl 1397.92100) Full Text: DOI arXiv
Zhou, Daoguo Global regularity of the two-dimensional Boussinesq equations without diffusivity in bounded domains. (English) Zbl 1394.35069 Nonlinear Anal., Real World Appl. 43, 144-154 (2018). MSC: 35B65 35Q35 PDF BibTeX XML Cite \textit{D. Zhou}, Nonlinear Anal., Real World Appl. 43, 144--154 (2018; Zbl 1394.35069) Full Text: DOI
Wu, Hao Well-posedness of a diffuse-interface model for two-phase incompressible flows with thermo-induced Marangoni effect. (English) Zbl 1386.35360 Eur. J. Appl. Math. 28, No. 3, 380-434 (2017). MSC: 35Q35 35B30 76D05 PDF BibTeX XML Cite \textit{H. Wu}, Eur. J. Appl. Math. 28, No. 3, 380--434 (2017; Zbl 1386.35360) Full Text: DOI
Bian, Dongfen; Liu, Jitao Initial-boundary value problem to 2D Boussinesq equations for MHD convection with stratification effects. (English) Zbl 1375.35308 J. Differ. Equations 263, No. 12, 8074-8101 (2017). MSC: 35Q30 76D03 76W05 35D30 35D35 PDF BibTeX XML Cite \textit{D. Bian} and \textit{J. Liu}, J. Differ. Equations 263, No. 12, 8074--8101 (2017; Zbl 1375.35308) Full Text: DOI arXiv
Qin, Yuming; Su, Xing; Wang, Yang; Zhang, Jianlin Global regularity for a two-dimensional nonlinear Boussinesq system. (English) Zbl 1364.35283 Math. Methods Appl. Sci. 40, No. 6, 2042-2056 (2017). MSC: 35Q35 35G10 34A12 76N15 35D35 86A05 86A10 76R50 PDF BibTeX XML Cite \textit{Y. Qin} et al., Math. Methods Appl. Sci. 40, No. 6, 2042--2056 (2017; Zbl 1364.35283) Full Text: DOI
Gu, Weijiang; Fan, Jishan; Zhou, Yong Regularity criteria for some simplified non-isothermal models for nematic liquid crystals. (English) Zbl 1372.35235 Comput. Math. Appl. 72, No. 12, 2839-2853 (2016). MSC: 35Q35 76A15 35B65 PDF BibTeX XML Cite \textit{W. Gu} et al., Comput. Math. Appl. 72, No. 12, 2839--2853 (2016; Zbl 1372.35235) Full Text: DOI
Fan, Jishan; Li, Fucai; Nakamura, Gen Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain. (English) Zbl 1353.35224 Discrete Contin. Dyn. Syst. 36, No. 9, 4915-4923 (2016). MSC: 35Q30 76D03 76D09 35B65 35D35 PDF BibTeX XML Cite \textit{J. Fan} et al., Discrete Contin. Dyn. Syst. 36, No. 9, 4915--4923 (2016; Zbl 1353.35224) Full Text: DOI
Huo, Wenru; Huang, Aimin The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case. (English) Zbl 1352.35190 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531-2550 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q86 35R11 34D45 35B32 86A05 86A10 35D35 26A33 PDF BibTeX XML Cite \textit{W. Huo} and \textit{A. Huang}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2531--2550 (2016; Zbl 1352.35190) Full Text: DOI
Frigeri, Sergio; Gal, Ciprian G.; Grasselli, Maurizio On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions. (English) Zbl 1348.35171 J. Nonlinear Sci. 26, No. 4, 847-893 (2016). MSC: 35Q30 37L30 45K05 76D03 76T99 35D30 35D35 35B41 35Q35 76D05 PDF BibTeX XML Cite \textit{S. Frigeri} et al., J. Nonlinear Sci. 26, No. 4, 847--893 (2016; Zbl 1348.35171) Full Text: DOI arXiv
He, Ming On the blowup criteria and global regularity for the non-diffusive Boussinesq equations with temperature-dependent viscosity coefficient. (English) Zbl 1350.35154 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 93-109 (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 35B44 76N10 76D09 35B65 PDF BibTeX XML Cite \textit{M. He}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 93--109 (2016; Zbl 1350.35154) Full Text: DOI
Su, Xing The global attractor of the 2D Boussinesq system with fractional vertical dissipation. (English) Zbl 1338.35338 Bound. Value Probl. 2016, Paper No. 105, 21 p. (2016). MSC: 35Q30 34D45 35R11 PDF BibTeX XML Cite \textit{X. Su}, Bound. Value Probl. 2016, Paper No. 105, 21 p. (2016; Zbl 1338.35338) Full Text: DOI
Li, Huapeng; Xu, Zhonghai; Zhu, Xiuli The vanishing diffusivity limit for the 2-D Boussinesq equations with boundary effect. (English) Zbl 1398.35176 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 144-160 (2016). MSC: 35Q35 35B25 76D03 PDF BibTeX XML Cite \textit{H. Li} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 133, 144--160 (2016; Zbl 1398.35176) Full Text: DOI
Jiu, Quansen; Liu, Jitao Global-wellposedness of 2D Boussinesq equations with mixed partial temperature-dependent viscosity and thermal diffusivity. (English) Zbl 1335.35197 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 132, 227-239 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 35B45 76D03 PDF BibTeX XML Cite \textit{Q. Jiu} and \textit{J. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 132, 227--239 (2016; Zbl 1335.35197) Full Text: DOI
Li, Huapeng; Pan, Ronghua; Zhang, Weizhe Initial boundary value problem for 2D Boussinesq equations with temperature-dependent diffusion. (English) Zbl 1328.35173 J. Hyperbolic Differ. Equ. 12, No. 3, 469-488 (2015). MSC: 35Q35 76B03 76D03 76D09 35B65 PDF BibTeX XML Cite \textit{H. Li} et al., J. Hyperbolic Differ. Equ. 12, No. 3, 469--488 (2015; Zbl 1328.35173) Full Text: DOI
Cai, Xiaoyun; Cao, Zhengzi; Sun, Yongzhong Global regularity to the two dimensional compressible Navier-Stokes equations with mass diffusion. (English) Zbl 1328.35146 Acta Appl. Math. 136, No. 1, 63-77 (2015). MSC: 35Q30 35A01 35A02 PDF BibTeX XML Cite \textit{X. Cai} et al., Acta Appl. Math. 136, No. 1, 63--77 (2015; Zbl 1328.35146) Full Text: DOI
Huang, Aimin The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity. (English) Zbl 1304.35491 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, Part A, 401-429 (2015). MSC: 35Q30 35B41 35B65 35B45 PDF BibTeX XML Cite \textit{A. Huang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 401--429 (2015; Zbl 1304.35491) Full Text: DOI arXiv
Huang, Aimin The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich’s type data. (English) Zbl 1310.35188 Commun. Math. Stat. 2, No. 3-4, 369-391 (2014). MSC: 35Q30 35Q31 34A12 76N10 PDF BibTeX XML Cite \textit{A. Huang}, Commun. Math. Stat. 2, No. 3--4, 369--391 (2014; Zbl 1310.35188) Full Text: DOI arXiv
Cai, Xiaoyun; Liao, Liangwen; Sun, Yongzhong Global strong solution to the initial-boundary value problem of a 2-D Kazhikhov-Smagulov type model. (English) Zbl 1304.35532 Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 917-923 (2014). MSC: 35Q35 35B65 35D35 76R50 PDF BibTeX XML Cite \textit{X. Cai} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 5, 917--923 (2014; Zbl 1304.35532) Full Text: DOI