Liu, Yang; Zhong, Xin Global existence of strong solutions with large oscillations and vacuum to the compressible nematic liquid crystal flows in 3D bounded domains. (English) Zbl 07815395 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2158-2191 (2024). MSC: 76A15 76N10 35Q35 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Zhong}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2158--2191 (2024; Zbl 07815395) Full Text: DOI arXiv
Chen, Hong; Sun, Yimin; Zhong, Xin Global classical solutions to the 3D Cauchy problem of compressible magneto-micropolar fluid equations with far field vacuum. (English) Zbl 1527.35264 Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 282-318 (2024). MSC: 35Q35 76N10 76W05 76A05 35A09 35A01 PDFBibTeX XMLCite \textit{H. Chen} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 282--318 (2024; Zbl 1527.35264) Full Text: DOI
Zhong, Xin Singularity formation to the 2D Cauchy problem of nonbarotropic magnetohydrodynamic equations without heat conductivity. (English) Zbl 07749465 Math. Nachr. 296, No. 8, 3782-3801 (2023). MSC: 76W05 76N10 PDFBibTeX XMLCite \textit{X. Zhong}, Math. Nachr. 296, No. 8, 3782--3801 (2023; Zbl 07749465) Full Text: DOI
Sun, Yimin; Zhong, Xin Global strong solutions to the compressible nematic liquid crystal flows with large oscillations and vacuum in 2D bounded domains. (English) Zbl 07723929 J. Geom. Anal. 33, No. 10, Paper No. 319, 44 p. (2023). MSC: 76A15 76N10 35Q35 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{X. Zhong}, J. Geom. Anal. 33, No. 10, Paper No. 319, 44 p. (2023; Zbl 07723929) Full Text: DOI
Fan, Jishan; Zhong, Xin Local well-posedness and regularity criterion for nonhomogeneous magneto-micropolar fluid equations without angular viscosity. (English) Zbl 1515.35210 Dyn. Partial Differ. Equ. 20, No. 3, 197-212 (2023). MSC: 35Q35 76D03 76W05 76A05 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{J. Fan} and \textit{X. Zhong}, Dyn. Partial Differ. Equ. 20, No. 3, 197--212 (2023; Zbl 1515.35210) Full Text: DOI
Zhai, Xiaoping; Zhong, Xin Global solutions to the 2D compressible Navier-Stokes equations with some large initial data. (English) Zbl 1524.76338 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1251-1274 (2023). MSC: 76N06 76N10 PDFBibTeX XMLCite \textit{X. Zhai} and \textit{X. Zhong}, Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1251--1274 (2023; Zbl 1524.76338) Full Text: DOI
Wang, Fuguo; Zhong, Xin Global well-posedness to the compressible nematic liquid crystal flows with large oscillations and vacuum in 3D exterior domains. (English) Zbl 1511.76005 J. Math. Phys. 64, No. 2, Article ID 021505, 34 p. (2023). MSC: 76A15 76N10 35Q30 35Q35 35D35 PDFBibTeX XMLCite \textit{F. Wang} and \textit{X. Zhong}, J. Math. Phys. 64, No. 2, Article ID 021505, 34 p. (2023; Zbl 1511.76005) Full Text: DOI
Liu, Yang; Zhong, Xin Entropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinity. (English) Zbl 1512.35476 J. Differ. Equations 358, 295-338 (2023). MSC: 35Q35 76N10 76W05 80A19 35D35 35B65 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Zhong}, J. Differ. Equations 358, 295--338 (2023; Zbl 1512.35476) Full Text: DOI arXiv
Chen, Hong; Zhong, Xin Local well-posedness for the 2D Cauchy problem of full compressible magnetohydrodynamic equations with vacuum at infinity. (English) Zbl 1513.76167 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106880, 27 p. (2023). MSC: 76W05 76N10 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Zhong}, Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106880, 27 p. (2023; Zbl 1513.76167) Full Text: DOI arXiv
Chen, Hong; Zhong, Xin Local well-posedness to the 2D Cauchy problem of nonhomogeneous heat-conducting Navier-Stokes and magnetohydrodynamic equations with vacuum at infinity. (English) Zbl 07780845 Math. Methods Appl. Sci. 45, No. 8, 4698-4726 (2022). MSC: 76N10 76N06 76W05 35Q30 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Zhong}, Math. Methods Appl. Sci. 45, No. 8, 4698--4726 (2022; Zbl 07780845) Full Text: DOI
Chen, Hong; Wan, Ziqi; Zhong, Xin Strong solutions to the 2D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum at infinity. (English) Zbl 1508.35063 J. Math. Phys. 63, No. 5, Article ID 051502, 29 p. (2022). MSC: 35Q35 76A15 76N10 35D35 35Q30 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Math. Phys. 63, No. 5, Article ID 051502, 29 p. (2022; Zbl 1508.35063) Full Text: DOI
Yang, Xinying; Zhong, Xin Global well-posedness and decay estimates to the 3D Cauchy problem of nonhomogeneous magneto-micropolar fluid equations with vacuum. (English) Zbl 1507.35210 J. Math. Phys. 63, No. 1, Article ID 011506, 16 p. (2022). MSC: 35Q35 76D03 35Q30 76A05 76W05 PDFBibTeX XMLCite \textit{X. Yang} and \textit{X. Zhong}, J. Math. Phys. 63, No. 1, Article ID 011506, 16 p. (2022; Zbl 1507.35210) Full Text: DOI
Chen, Hong; Zhong, Xin Local well-posedness to the 2D Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows with vacuum at infinity. (English) Zbl 1513.76026 Commun. Pure Appl. Anal. 21, No. 9, 3141-3169 (2022). MSC: 76A15 76D03 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Zhong}, Commun. Pure Appl. Anal. 21, No. 9, 3141--3169 (2022; Zbl 1513.76026) Full Text: DOI
Liu, Yang; Zhong, Xin Global strong solution for 3D compressible heat-conducting magnetohydrodynamic equations revisited. (English) Zbl 1497.35381 J. Differ. Equations 336, 456-478 (2022). MSC: 35Q35 76N10 76W05 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Zhong}, J. Differ. Equations 336, 456--478 (2022; Zbl 1497.35381) Full Text: DOI arXiv
Zhong, Xin Global strong solution to the nonhomogeneous micropolar fluid equations with large initial data and vacuum. (English) Zbl 1496.35331 Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5805-5820 (2022). MSC: 35Q35 76D03 76A05 76U05 35D35 PDFBibTeX XMLCite \textit{X. Zhong}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 10, 5805--5820 (2022; Zbl 1496.35331) Full Text: DOI
Zhong, Xin \(L^\infty\) continuation principle to the compressible non-isothermal nematic liquid crystal flows with zero heat conduction and vacuum. (English) Zbl 1494.76006 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 174, 20 p. (2022). MSC: 76A15 76N10 35Q35 PDFBibTeX XMLCite \textit{X. Zhong}, Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 174, 20 p. (2022; Zbl 1494.76006) Full Text: DOI
Zhong, Xin Global existence and large time behavior of strong solutions for nonhomogeneous heat conducting Navier-Stokes equations with large initial data and vacuum. (English) Zbl 1490.76063 Commun. Math. Sci. 20, No. 5, 1193-1209 (2022). MSC: 76D03 76D05 PDFBibTeX XMLCite \textit{X. Zhong}, Commun. Math. Sci. 20, No. 5, 1193--1209 (2022; Zbl 1490.76063) Full Text: DOI
Zhong, Xin Global well-posedness to the Cauchy problem of two-dimensional nonhomogeneous heat conducting Navier-Stokes equations. (English) Zbl 1490.76078 J. Geom. Anal. 32, No. 7, Paper No. 200, 22 p. (2022). MSC: 76D05 76D03 PDFBibTeX XMLCite \textit{X. Zhong}, J. Geom. Anal. 32, No. 7, Paper No. 200, 22 p. (2022; Zbl 1490.76078) Full Text: DOI
Zhong, Xin Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum. (English) Zbl 1490.76251 Anal. Appl., Singap. 20, No. 2, 193-219 (2022). MSC: 76W05 76D03 PDFBibTeX XMLCite \textit{X. Zhong}, Anal. Appl., Singap. 20, No. 2, 193--219 (2022; Zbl 1490.76251) Full Text: DOI
Fan, Jishan; Zhong, Xin Regularity criteria for 3D generalized incompressible magneto-micropolar fluid equations. (English) Zbl 1524.35460 Appl. Math. Lett. 127, Article ID 107840, 5 p. (2022). MSC: 35Q35 76W05 35B65 76D03 35Q30 PDFBibTeX XMLCite \textit{J. Fan} and \textit{X. Zhong}, Appl. Math. Lett. 127, Article ID 107840, 5 p. (2022; Zbl 1524.35460) Full Text: DOI
Zhong, Xin Global well-posedness to the 3D Cauchy problem of nonhomogeneous heat conducting Navier-Stokes equations with vacuum and large oscillations. (English) Zbl 1492.76039 J. Math. Fluid Mech. 24, No. 1, Paper No. 14, 17 p. (2022). MSC: 76D05 76D03 PDFBibTeX XMLCite \textit{X. Zhong}, J. Math. Fluid Mech. 24, No. 1, Paper No. 14, 17 p. (2022; Zbl 1492.76039) Full Text: DOI arXiv
Xu, Qingmei; Zhong, Xin Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum. (English) Zbl 1476.76098 Z. Angew. Math. Phys. 73, No. 1, Paper No. 14, 19 p. (2022). MSC: 76W05 35Q35 76N10 PDFBibTeX XMLCite \textit{Q. Xu} and \textit{X. Zhong}, Z. Angew. Math. Phys. 73, No. 1, Paper No. 14, 19 p. (2022; Zbl 1476.76098) Full Text: DOI
Zhong, Xin Global well-posedness and exponential decay of 2D nonhomogeneous Navier-Stokes and magnetohydrodynamic equations with density-dependent viscosity and vacuum. (English) Zbl 1480.76101 J. Geom. Anal. 32, No. 1, Paper No. 19, 26 p. (2022). MSC: 76N10 76N06 76W05 35Q30 35Q60 PDFBibTeX XMLCite \textit{X. Zhong}, J. Geom. Anal. 32, No. 1, Paper No. 19, 26 p. (2022; Zbl 1480.76101) Full Text: DOI arXiv
Zhong, Xin \(L^\infty\) continuation for non-barotropic magnetohydrodynamic equations with zero heat conduction and vacuum. (Chinese. English summary) Zbl 1513.76180 Acta Math. Sin., Chin. Ser. 64, No. 5, 705-720 (2021). MSC: 76W05 76N10 PDFBibTeX XMLCite \textit{X. Zhong}, Acta Math. Sin., Chin. Ser. 64, No. 5, 705--720 (2021; Zbl 1513.76180) Full Text: Link
Wu, Guochun; Zhong, Xin Global strong solution and exponential decay of 3D nonhomogeneous asymmetric fluid equations with vacuum. (English) Zbl 1513.35466 Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 5, 1428-1444 (2021). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{G. Wu} and \textit{X. Zhong}, Acta Math. Sci., Ser. B, Engl. Ed. 41, No. 5, 1428--1444 (2021; Zbl 1513.35466) Full Text: DOI
Zhong, Xin \(L^\infty\) continuation principle for two-dimensional compressible nematic liquid crystal flows. (English) Zbl 1479.35154 Commun. Math. Sci. 19, No. 1, 55-72 (2021). MSC: 35B44 35B65 35D35 76A15 76N10 PDFBibTeX XMLCite \textit{X. Zhong}, Commun. Math. Sci. 19, No. 1, 55--72 (2021; Zbl 1479.35154) Full Text: DOI
Zhong, Xin Singularity formation to the nonhomogeneous magneto-micropolar fluid equations. (English) Zbl 1479.35706 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6339-6357 (2021). MSC: 35Q35 35B65 35B44 35D35 35A01 76W05 76A05 76U05 PDFBibTeX XMLCite \textit{X. Zhong}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6339--6357 (2021; Zbl 1479.35706) Full Text: DOI
Zhong, Xin Global well-posedness and decay estimates of strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection. (English) Zbl 1487.35334 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1543-1567 (2021). MSC: 35Q35 35B65 35D35 76D03 76W05 PDFBibTeX XMLCite \textit{X. Zhong}, Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1543--1567 (2021; Zbl 1487.35334) Full Text: DOI
Zhong, Xin Well-posedness for nonhomogeneous magnetic Bénard system with zero resistivity. (English) Zbl 1481.35348 Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 2835-2862 (2021). MSC: 35Q35 76D03 76W05 76R10 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{X. Zhong}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 5, 2835--2862 (2021; Zbl 1481.35348) Full Text: DOI
Zhong, Xin Global strong solution and exponential decay to the 3D Cauchy problem of nonhomogeneous Bénard system with vacuum. (English) Zbl 1468.35160 Acta Appl. Math. 172, Paper No. 8, 16 p. (2021). MSC: 35Q35 76D03 76R10 35D30 PDFBibTeX XMLCite \textit{X. Zhong}, Acta Appl. Math. 172, Paper No. 8, 16 p. (2021; Zbl 1468.35160) Full Text: DOI
Zhong, Xin Global strong solution of nonhomogeneous Bénard system with large initial data and vacuum in a bounded domain. (English) Zbl 1472.35315 Z. Anal. Anwend. 40, No. 2, 153-166 (2021). MSC: 35Q35 76D03 76R10 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{X. Zhong}, Z. Anal. Anwend. 40, No. 2, 153--166 (2021; Zbl 1472.35315) Full Text: DOI
Zhong, Xin Global strong solution to the nonhomogeneous Bénard system with large initial data and vacuum. (English) Zbl 1472.35314 Result. Math. 76, No. 1, Paper No. 27, 19 p. (2021). MSC: 35Q35 76D03 76R10 PDFBibTeX XMLCite \textit{X. Zhong}, Result. Math. 76, No. 1, Paper No. 27, 19 p. (2021; Zbl 1472.35314) Full Text: DOI
Liu, Yang; Zhong, Xin Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum. (English) Zbl 1455.35199 Nonlinear Anal., Real World Appl. 58, Article ID 103219, 24 p. (2021). MSC: 35Q35 76A15 76N10 76N06 35A01 35A02 35D35 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Zhong}, Nonlinear Anal., Real World Appl. 58, Article ID 103219, 24 p. (2021; Zbl 1455.35199) Full Text: DOI
Liu, Yang; Zhong, Xin Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum. (English) Zbl 1464.76214 Z. Angew. Math. Phys. 71, No. 6, Paper No. 188, 24 p. (2020). MSC: 76W05 76N10 35Q35 35Q60 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Zhong}, Z. Angew. Math. Phys. 71, No. 6, Paper No. 188, 24 p. (2020; Zbl 1464.76214) Full Text: DOI arXiv
Zhong, Xin The local well-posedness to the density-dependent magnetic Bénard system with nonnegative density. (English) Zbl 1460.35301 Commun. Math. Sci. 18, No. 3, 725-750 (2020). MSC: 35Q35 76D03 76R10 76W05 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{X. Zhong}, Commun. Math. Sci. 18, No. 3, 725--750 (2020; Zbl 1460.35301) Full Text: DOI
Liu, Yang; Zhong, Xin On the Cauchy problem of 3D nonhomogeneous incompressible nematic liquid crystal flows with vacuum. (English) Zbl 1460.35293 Commun. Pure Appl. Anal. 19, No. 11, 5219-5238 (2020). MSC: 35Q35 35D35 76A15 76D03 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Zhong}, Commun. Pure Appl. Anal. 19, No. 11, 5219--5238 (2020; Zbl 1460.35293) Full Text: DOI
Zhong, Xin Local strong solutions to the nonhomogeneous Bénard system with nonnegative density. (English) Zbl 1451.35147 Rocky Mt. J. Math. 50, No. 4, 1497-1516 (2020). MSC: 35Q35 76D03 76D07 35D35 35B65 PDFBibTeX XMLCite \textit{X. Zhong}, Rocky Mt. J. Math. 50, No. 4, 1497--1516 (2020; Zbl 1451.35147) Full Text: DOI Euclid
Zhong, Xin Strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection without thermal diffusion. (English) Zbl 1463.35419 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 24, 23 p. (2020). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{X. Zhong}, Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 24, 23 p. (2020; Zbl 1463.35419) Full Text: DOI
Zhong, Xin Singularity formation of the non-barotropic compressible magnetohydrodynamic equations without heat conductivity. (English) Zbl 1458.76130 Taiwanese J. Math. 24, No. 3, 603-628 (2020). MSC: 76W05 76N10 35Q35 35Q60 PDFBibTeX XMLCite \textit{X. Zhong}, Taiwanese J. Math. 24, No. 3, 603--628 (2020; Zbl 1458.76130) Full Text: DOI Euclid
Zhong, Xin Global existence and exponential decay of strong solutions of nonhomogeneous magneto-micropolar fluid equations with large initial data and vacuum. (English) Zbl 1440.35283 J. Math. Fluid Mech. 22, No. 3, Paper No. 35, 18 p. (2020). MSC: 35Q35 76D03 76W05 35D35 35A01 PDFBibTeX XMLCite \textit{X. Zhong}, J. Math. Fluid Mech. 22, No. 3, Paper No. 35, 18 p. (2020; Zbl 1440.35283) Full Text: DOI
Zhong, Xin On local strong solutions to the 2D Cauchy problem of the compressible non-resistive magnetohydrodynamic equations with vacuum. (English) Zbl 1434.76151 J. Dyn. Differ. Equations 32, No. 2, 505-526 (2020). MSC: 76W05 76N10 35Q35 35B65 PDFBibTeX XMLCite \textit{X. Zhong}, J. Dyn. Differ. Equations 32, No. 2, 505--526 (2020; Zbl 1434.76151) Full Text: DOI
Zhong, Xin Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction. (English) Zbl 1432.76227 J. Math. Phys. 61, No. 1, 011508, 19 p. (2020). MSC: 76N15 76A15 80A23 35F10 76N10 PDFBibTeX XMLCite \textit{X. Zhong}, J. Math. Phys. 61, No. 1, 011508, 19 p. (2020; Zbl 1432.76227) Full Text: DOI
Zhong, Xin Strong solutions to the Cauchy problem of two-dimensional non-barotropic non-resistive magnetohydrodynamic equations with zero heat conduction. (English) Zbl 1444.76137 J. Differ. Equations 268, No. 9, 4921-4944 (2020). MSC: 76W05 76N10 35Q35 35D35 PDFBibTeX XMLCite \textit{X. Zhong}, J. Differ. Equations 268, No. 9, 4921--4944 (2020; Zbl 1444.76137) Full Text: DOI arXiv
Zhong, Xin Singularity formation to the two-dimensional non-resistive compressible magnetohydrodynamic equations in a bounded domain. (English) Zbl 1428.76241 Z. Angew. Math. Phys. 71, No. 1, Paper No. 2, 12 p. (2020). MSC: 76W05 35B65 35Q35 76N10 PDFBibTeX XMLCite \textit{X. Zhong}, Z. Angew. Math. Phys. 71, No. 1, Paper No. 2, 12 p. (2020; Zbl 1428.76241) Full Text: DOI
Zhong, Xin A note on the uniqueness of strong solution to the incompressible Navier-Stokes equations with damping. (English) Zbl 1438.35338 Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 15, 4 p. (2019). MSC: 35Q35 76D05 76B03 PDFBibTeX XMLCite \textit{X. Zhong}, Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 15, 4 p. (2019; Zbl 1438.35338) Full Text: DOI
Zhong, Xin Global well-posedness to the Cauchy problem of two-dimensional density-dependent Boussinesq equations with large initial data and vacuum. (English) Zbl 1428.35415 Discrete Contin. Dyn. Syst. 39, No. 11, 6713-6745 (2019). MSC: 35Q35 76D03 35D35 PDFBibTeX XMLCite \textit{X. Zhong}, Discrete Contin. Dyn. Syst. 39, No. 11, 6713--6745 (2019; Zbl 1428.35415) Full Text: DOI
Zhong, Xin Strong solutions to the 2D Cauchy problem of density-dependent viscous Boussinesq equations with vacuum. (English) Zbl 1414.76021 J. Math. Phys. 60, No. 5, 051505, 15 p. (2019). MSC: 76E06 76N10 35F10 76E20 86A10 35Q35 PDFBibTeX XMLCite \textit{X. Zhong}, J. Math. Phys. 60, No. 5, 051505, 15 p. (2019; Zbl 1414.76021) Full Text: DOI
Zhong, Xin Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain. (English) Zbl 1414.76094 J. Differ. Equations 267, No. 6, 3797-3826 (2019). MSC: 76W05 76N10 PDFBibTeX XMLCite \textit{X. Zhong}, J. Differ. Equations 267, No. 6, 3797--3826 (2019; Zbl 1414.76094) Full Text: DOI
Zhong, Xin Global strong solution for viscous incompressible heat conducting Navier-Stokes flows with density-dependent viscosity. (English) Zbl 1398.35186 Anal. Appl., Singap. 16, No. 5, 623-647 (2018). MSC: 35Q35 35B65 76N10 35D35 PDFBibTeX XMLCite \textit{X. Zhong}, Anal. Appl., Singap. 16, No. 5, 623--647 (2018; Zbl 1398.35186) Full Text: DOI
Zhong, Xin A Liouville theorem for the compressible Navier-Stokes equations. (English) Zbl 1397.35187 Math. Methods Appl. Sci. 41, No. 13, 5091-5095 (2018). MSC: 35Q30 76N10 35B53 PDFBibTeX XMLCite \textit{X. Zhong}, Math. Methods Appl. Sci. 41, No. 13, 5091--5095 (2018; Zbl 1397.35187) Full Text: DOI
Lü, Boqiang; Shi, Xiaoding; Zhong, Xin Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier-Stokes equations with vacuum. (English) Zbl 1391.35332 Nonlinearity 31, No. 6, 2617-2632 (2018). MSC: 35Q35 76N10 PDFBibTeX XMLCite \textit{B. Lü} et al., Nonlinearity 31, No. 6, 2617--2632 (2018; Zbl 1391.35332) Full Text: DOI arXiv
Zhong, Xin Global strong solutions for nonhomogeneous heat conducting Navier-Stokes equations. (English) Zbl 1383.35180 Math. Methods Appl. Sci. 41, No. 1, 127-139 (2018). MSC: 35Q35 35B65 76N10 35D35 80A20 PDFBibTeX XMLCite \textit{X. Zhong}, Math. Methods Appl. Sci. 41, No. 1, 127--139 (2018; Zbl 1383.35180) Full Text: DOI
Zhong, Xin Global well-posedness to the incompressible Navier-Stokes equations with damping. (English) Zbl 1413.35388 Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 62, 9 p. (2017). MSC: 35Q35 35B65 76N10 PDFBibTeX XMLCite \textit{X. Zhong}, Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 62, 9 p. (2017; Zbl 1413.35388) Full Text: DOI
Zhong, Xin Global strong solution for 3D viscous incompressible heat conducting Navier-Stokes flows with non-negative density. (English) Zbl 1377.35227 J. Differ. Equations 263, No. 8, 4978-4996 (2017). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 35B65 76N10 35D35 76D05 35B44 35B50 76D07 PDFBibTeX XMLCite \textit{X. Zhong}, J. Differ. Equations 263, No. 8, 4978--4996 (2017; Zbl 1377.35227) Full Text: DOI arXiv
Lü, Boqiang; Xu, Zhonghai; Zhong, Xin Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent magnetohydrodynamic equations with vacuum. (English. French summary) Zbl 1364.35279 J. Math. Pures Appl. (9) 108, No. 1, 41-62 (2017). MSC: 35Q35 76D03 76W05 PDFBibTeX XMLCite \textit{B. Lü} et al., J. Math. Pures Appl. (9) 108, No. 1, 41--62 (2017; Zbl 1364.35279) Full Text: DOI arXiv
Zhong, Xin Weak solutions to the two-dimensional steady compressible Navier-Stokes equations. (English) Zbl 1354.35074 Nonlinear Anal., Real World Appl. 34, 61-74 (2017). MSC: 35Q30 76N10 35D30 PDFBibTeX XMLCite \textit{X. Zhong}, Nonlinear Anal., Real World Appl. 34, 61--74 (2017; Zbl 1354.35074) Full Text: DOI
Zhong, Xin Weak solutions to the three-dimensional steady full compressible Navier-Stokes system. (English) Zbl 1327.76115 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 71-93 (2015). MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{X. Zhong}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 71--93 (2015; Zbl 1327.76115) Full Text: DOI
Zhong, Xin; Wu, Xing-Ping; Tang, Chun-Lei Local well-posedness for the homogeneous Euler equations. (English) Zbl 1217.35140 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3829-3848 (2011). MSC: 35Q31 76B03 35B30 42B25 42B35 35B44 PDFBibTeX XMLCite \textit{X. Zhong} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3829--3848 (2011; Zbl 1217.35140) Full Text: DOI