Tong, Leilei; Tan, Zhong; Zhang, Xu The time decay rates of the classical solution to the Poisson-Nernst-Planck-Fourier equations in \(\mathbb{R}^3\). (English) Zbl 1513.35490 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1081-1102 (2022). MSC: 35Q70 35Q92 82C21 35Q79 PDFBibTeX XMLCite \textit{L. Tong} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1081--1102 (2022; Zbl 1513.35490) Full Text: DOI
Tong, Leilei; Tan, Zhong Optimal decay rates of the solution for generalized Poisson-Nernst-Planck-Navier-Stokes equations in \(\mathbb{R}^3\). (English) Zbl 1477.35180 Z. Angew. Math. Phys. 72, No. 6, Paper No. 200, 23 p. (2021). MSC: 35Q35 35B40 35D35 76N10 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{L. Tong} and \textit{Z. Tan}, Z. Angew. Math. Phys. 72, No. 6, Paper No. 200, 23 p. (2021; Zbl 1477.35180) Full Text: DOI
Tong, Leilei; Pan, Ronghua; Tan, Zhong Decay estimates of solutions to the compressible micropolar fluids system in \(\mathbb{R}^3\). (English) Zbl 1475.35291 J. Differ. Equations 293, 520-552 (2021). MSC: 35Q35 35B40 35D35 76N10 76A05 76M60 PDFBibTeX XMLCite \textit{L. Tong} et al., J. Differ. Equations 293, 520--552 (2021; Zbl 1475.35291) Full Text: DOI
Zheng, Wenxuan; Tan, Zhong The decay estimates for magnetohydrodynamic equations with Coulomb force. (English) Zbl 1499.76147 Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 6, 1928-1940 (2020). MSC: 76W05 35Q35 76X05 PDFBibTeX XMLCite \textit{W. Zheng} and \textit{Z. Tan}, Acta Math. Sci., Ser. B, Engl. Ed. 40, No. 6, 1928--1940 (2020; Zbl 1499.76147) Full Text: DOI
Tan, Zhong; Wang, Yong; Wu, Wenpei Mathematical modeling and qualitative analysis of viscoelastic conductive fluids. (English) Zbl 1451.76008 Anal. Appl., Singap. 18, No. 6, 1077-1117 (2020). MSC: 76A10 76N10 76W05 76M30 35Q35 PDFBibTeX XMLCite \textit{Z. Tan} et al., Anal. Appl., Singap. 18, No. 6, 1077--1117 (2020; Zbl 1451.76008) Full Text: DOI
Tong, Leilei; Tan, Zhong The asymptotic stability of the solution to the full Hall-MHD system in \(\mathbb{R}^3\). (English) Zbl 1432.76295 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1465-1491 (2020). MSC: 76W05 35Q35 35B40 PDFBibTeX XMLCite \textit{L. Tong} and \textit{Z. Tan}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1465--1491 (2020; Zbl 1432.76295) Full Text: DOI
Tong, Leilei; Tan, Zhong; Xu, Qiuju Decay estimates of solutions to the bipolar compressible Euler-Poisson system in \(\mathbb{R}^3 \). (English) Zbl 1435.35067 Z. Angew. Math. Phys. 71, No. 1, Paper No. 19, 17 p. (2020). MSC: 35B40 35Q35 76W05 PDFBibTeX XMLCite \textit{L. Tong} et al., Z. Angew. Math. Phys. 71, No. 1, Paper No. 19, 17 p. (2020; Zbl 1435.35067) Full Text: DOI
Tong, Leilei; Tan, Zhong Optimal decay rates of the compressible magneto-micropolar fluids system in \(\mathbb R^3\). (English) Zbl 1428.35397 Commun. Math. Sci. 17, No. 4, 1109-1134 (2019). MSC: 35Q35 35B40 35D35 76N10 76W05 76A05 35P05 PDFBibTeX XMLCite \textit{L. Tong} and \textit{Z. Tan}, Commun. Math. Sci. 17, No. 4, 1109--1134 (2019; Zbl 1428.35397) Full Text: DOI
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng Global existence and decay estimate of solutions to magneto-micropolar fluid equations. (English) Zbl 1457.76202 J. Differ. Equations 266, No. 7, 4137-4169 (2019). MSC: 76W05 76A05 35Q30 35Q60 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Differ. Equations 266, No. 7, 4137--4169 (2019; Zbl 1457.76202) Full Text: DOI
Tan, Zhong; Tong, Leilei Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations. (English) Zbl 1394.35375 Z. Angew. Math. Phys. 69, No. 3, Paper No. 51, 28 p. (2018). MSC: 35Q35 35M31 35B35 35B40 35Q60 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Z. Angew. Math. Phys. 69, No. 3, Paper No. 51, 28 p. (2018; Zbl 1394.35375) Full Text: DOI
Tan, Zhong; Zhou, Jianfeng Decay estimate of solutions to the coupled chemotaxis-fluid equations in \(\mathbb{R}^3\). (English) Zbl 1394.35049 Nonlinear Anal., Real World Appl. 43, 323-347 (2018). MSC: 35B40 35Q30 92C17 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{J. Zhou}, Nonlinear Anal., Real World Appl. 43, 323--347 (2018; Zbl 1394.35049) Full Text: DOI
Tan, Zhong; Tong, Leilei Asymptotic behavior of the compressible non-isentropic Navier-Stokes-Maxwell system in \(\mathbb{R}^3\). (English) Zbl 1375.35402 Kinet. Relat. Models 11, No. 1, 191-213 (2018). MSC: 35Q35 35Q30 35Q61 82D37 76N10 35B40 76X05 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Kinet. Relat. Models 11, No. 1, 191--213 (2018; Zbl 1375.35402) Full Text: DOI
Wu, Yunshun; Tan, Zhong; Wang, Yong Long-time behavior of solutions to the non-isentropic Euler-Poisson system in \(\mathbb{R}^3\). (English) Zbl 1408.35159 Commun. Math. Sci. 15, No. 7, 1947-1965 (2017). MSC: 35Q35 35M10 35Q60 76N10 35B40 35A01 PDFBibTeX XMLCite \textit{Y. Wu} et al., Commun. Math. Sci. 15, No. 7, 1947--1965 (2017; Zbl 1408.35159) Full Text: DOI
Tan, Zhong; Wang, Yong; Tong, Leilei Decay estimates of solutions to the bipolar non-isentropic compressible Euler-Maxwell system. (English) Zbl 1380.82047 Nonlinearity 30, No. 10, 3743-3772 (2017). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82D10 35A01 35B40 76W05 76X05 35Q31 PDFBibTeX XMLCite \textit{Z. Tan} et al., Nonlinearity 30, No. 10, 3743--3772 (2017; Zbl 1380.82047) Full Text: DOI
Tan, Zhong; Wang, Yong; Tong, Leilei The asymptotic behavior of globally smooth solutions to the compressible magnetohydrodynamic equations with Coulomb force. (English) Zbl 1365.76347 Anal. Appl., Singap. 15, No. 4, 571-594 (2017). MSC: 76W05 35Q35 76X05 PDFBibTeX XMLCite \textit{Z. Tan} et al., Anal. Appl., Singap. 15, No. 4, 571--594 (2017; Zbl 1365.76347) Full Text: DOI
Cai, Hong; Tan, Zhong Stability of stationary solutions to the compressible bipolar Euler-Poisson equations. (English) Zbl 1364.35259 Discrete Contin. Dyn. Syst. 37, No. 9, 4677-4696 (2017). MSC: 35Q35 35Q31 35M10 35Q60 PDFBibTeX XMLCite \textit{H. Cai} and \textit{Z. Tan}, Discrete Contin. Dyn. Syst. 37, No. 9, 4677--4696 (2017; Zbl 1364.35259) Full Text: DOI
Tan, Zhong; Tong, Leilei Asymptotic stability of stationary solutions for magnetohydrodynamic equations. (English) Zbl 1361.35028 Discrete Contin. Dyn. Syst. 37, No. 6, 3435-3465 (2017). MSC: 35B35 35Q60 35Q35 76W05 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Discrete Contin. Dyn. Syst. 37, No. 6, 3435--3465 (2017; Zbl 1361.35028) Full Text: DOI
Tan, Zhong; Tong, Leilei Global existence and large time behavior of the asymmetric fluids. (English) Zbl 1442.76099 Z. Angew. Math. Phys. 67, No. 3, Article ID 44, 17 p. (2016). MSC: 76N10 35Q35 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Z. Angew. Math. Phys. 67, No. 3, Article ID 44, 17 p. (2016; Zbl 1442.76099) Full Text: DOI
Tan, Zhong; Tong, Leilei Decay estimates of solutions to the compressible Navier-Stokes-Maxwell system in \(\mathbb R^{3*}\). (English) Zbl 1346.35020 Commun. Math. Sci. 14, No. 5, 1189-1212 (2016). MSC: 35B40 35Q30 35Q35 35Q61 76N10 82D37 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{L. Tong}, Commun. Math. Sci. 14, No. 5, 1189--1212 (2016; Zbl 1346.35020) Full Text: DOI
Tan, Zhong; Wang, Yong; Xu, Fanhui Large-time behavior of the full compressible Euler-Poisson system without the temperature damping. (English) Zbl 1336.35068 Discrete Contin. Dyn. Syst. 36, No. 3, 1583-1601 (2016). MSC: 35B40 35Q60 76N10 35Q35 PDFBibTeX XMLCite \textit{Z. Tan} et al., Discrete Contin. Dyn. Syst. 36, No. 3, 1583--1601 (2016; Zbl 1336.35068) Full Text: DOI
Wu, Yunshun; Tan, Zhong Symptotic behavior of the Stokes approximation equations for compressible flows in \(\mathbb{R}^3\). (English) Zbl 1340.35272 Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 3, 746-760 (2015). MSC: 35Q35 35B40 76D03 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{Z. Tan}, Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 3, 746--760 (2015; Zbl 1340.35272) Full Text: DOI
Tan, Zhong; Wang, Yong Asymptotic behavior of solutions to the compressible bipolar Euler-Maxwell system in \(\mathbb{R}^3\). (English) Zbl 1329.82126 Commun. Math. Sci. 13, No. 7, 1683-1710 (2015). MSC: 82D10 35A01 35B40 35Q35 35Q61 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{Y. Wang}, Commun. Math. Sci. 13, No. 7, 1683--1710 (2015; Zbl 1329.82126) Full Text: DOI
Chen, Qing; Tan, Zhong; Wu, Guochun Time decay rates for the equations of the compressible heat-conductive flow through porous media. (English) Zbl 1321.35130 J. Differ. Equations 259, No. 9, 4707-4731 (2015). MSC: 35Q30 76N15 76N10 76S05 PDFBibTeX XMLCite \textit{Q. Chen} et al., J. Differ. Equations 259, No. 9, 4707--4731 (2015; Zbl 1321.35130) Full Text: DOI
Tan, Zhong; Tong, Leilei; Wang, Yong Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force. (English) Zbl 1315.35177 J. Math. Anal. Appl. 427, No. 2, 600-617 (2015). MSC: 35Q35 76W05 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Math. Anal. Appl. 427, No. 2, 600--617 (2015; Zbl 1315.35177) Full Text: DOI
Zhang, Xu; Tan, Zhong The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density. (English) Zbl 1308.35234 Nonlinear Anal., Real World Appl. 22, 129-147 (2015). MSC: 35Q35 76N15 76D05 80A20 35Q79 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Tan}, Nonlinear Anal., Real World Appl. 22, 129--147 (2015; Zbl 1308.35234) Full Text: DOI
Wang, Yong; Tan, Zhong Stability of steady states of the compressible Euler-Poisson system in \(\mathbb R^3\). (English) Zbl 1312.35016 J. Math. Anal. Appl. 422, No. 2, 1058-1071 (2015). MSC: 35B35 35Q31 35J05 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Tan}, J. Math. Anal. Appl. 422, No. 2, 1058--1071 (2015; Zbl 1312.35016) Full Text: DOI
Chen, Qing; Tan, Zhong Time decay of solutions to the compressible Euler equations with damping. (English) Zbl 1318.35072 Kinet. Relat. Models 7, No. 4, 605-619 (2014). MSC: 35Q31 76N10 35P20 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{Z. Tan}, Kinet. Relat. Models 7, No. 4, 605--619 (2014; Zbl 1318.35072) Full Text: DOI Link
Tan, Zhong; Zhang, Xu Decay estimates of the coupled chemotaxis-fluid equations in \(R^3\). (English) Zbl 1333.92015 J. Math. Anal. Appl. 410, No. 1, 27-38 (2014). MSC: 92C17 76D05 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{X. Zhang}, J. Math. Anal. Appl. 410, No. 1, 27--38 (2014; Zbl 1333.92015) Full Text: DOI
Zhang, Xu; Tan, Zhong Decay estimates of the non-isentropic compressible fluid models of Korteweg type in \(\mathbb R^3\). (English) Zbl 1311.35191 Commun. Math. Sci. 12, No. 8, 1437-1456 (2014). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Z. Tan}, Commun. Math. Sci. 12, No. 8, 1437--1456 (2014; Zbl 1311.35191) Full Text: DOI
Tan, Zhong; Wang, Yanjin; Wang, Yong Decay estimates of solutions to the compressible Euler-Maxwell system in \(\mathbb{R}^3\). (English) Zbl 1296.83018 J. Differ. Equations 257, No. 8, 2846-2873 (2014). MSC: 83C22 82D37 76N10 35Q35 35B40 83C15 83C05 85A30 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Differ. Equations 257, No. 8, 2846--2873 (2014; Zbl 1296.83018) Full Text: DOI arXiv
Tan, Zhong; Zhang, Xu; Wang, Huaqiao Asymptotic behavior of Navier-Stokes-Korteweg with friction in \(\mathbb R^3\). (English) Zbl 1284.35323 Discrete Contin. Dyn. Syst. 34, No. 5, 2243-2259 (2014). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 76D05 76N10 PDFBibTeX XMLCite \textit{Z. Tan} et al., Discrete Contin. Dyn. Syst. 34, No. 5, 2243--2259 (2014; Zbl 1284.35323) Full Text: DOI
Tan, Zhong; Zhang, Xu Decay of the non-isentropic Navier-Stokes-Poisson equations. (English) Zbl 1308.35227 J. Math. Anal. Appl. 400, No. 1, 293-303 (2013). MSC: 35Q35 35Q30 35B40 PDFBibTeX XMLCite \textit{Z. Tan} and \textit{X. Zhang}, J. Math. Anal. Appl. 400, No. 1, 293--303 (2013; Zbl 1308.35227) Full Text: DOI