Wang, Peixin; Xu, Xiaojing Vanishing dissipation of the 2D anisotropic Boussinesq equations in the half plane. (English) Zbl 1527.35304 Indiana Univ. Math. J. 72, No. 3, 1107-1146 (2023). MSC: 35Q35 76D03 76D10 35B35 80A19 PDFBibTeX XMLCite \textit{P. Wang} and \textit{X. Xu}, Indiana Univ. Math. J. 72, No. 3, 1107--1146 (2023; Zbl 1527.35304) Full Text: DOI
Xu, Xiaojing; Jiang, Song; Sun, Wenjun Spatial second-order positive and asymptotic preserving unified gas kinetic schemes for radiative transfer equations. (English) Zbl 07730761 J. Sci. Comput. 96, No. 3, Paper No. 94, 40 p. (2023). MSC: 65-02 65M08 65M12 35Q79 80M35 PDFBibTeX XMLCite \textit{X. Xu} et al., J. Sci. Comput. 96, No. 3, Paper No. 94, 40 p. (2023; Zbl 07730761) Full Text: DOI
Hu, Xiaoling; Tong, Kunzhuo; Xu, Xiaojing Local existence and uniqueness of strong solution to the inhomogeneous primitive equations with vacuum. (English) Zbl 1515.35213 Acta Appl. Math. 186, Paper No. 6, 30 p. (2023). MSC: 35Q35 PDFBibTeX XMLCite \textit{X. Hu} et al., Acta Appl. Math. 186, Paper No. 6, 30 p. (2023; Zbl 1515.35213) Full Text: DOI
Khor, Calvin; Xu, Xiaojing Temperature patches for a generalised 2D Boussinesq system with singular velocity. (English) Zbl 1511.35280 J. Nonlinear Sci. 33, No. 2, Paper No. 30, 24 p. (2023). MSC: 35Q35 35R05 35F25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{C. Khor} and \textit{X. Xu}, J. Nonlinear Sci. 33, No. 2, Paper No. 30, 24 p. (2023; Zbl 1511.35280) Full Text: DOI
Xu, Xiaojing; Zhong, Yueyuan; Zhu, Ning The 2D inviscid Boussinesq equations with fractional diffusion in bounded domain. (English) Zbl 1501.35331 Nonlinear Anal., Real World Appl. 69, Article ID 103732, 27 p. (2023). MSC: 35Q35 35Q86 76B03 76R10 86A05 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{X. Xu} et al., Nonlinear Anal., Real World Appl. 69, Article ID 103732, 27 p. (2023; Zbl 1501.35331) Full Text: DOI
Ji, Ruihong; Wu, Jiahong; Xu, Xiaojing Global well-posedness of the 2D MHD equations of damped wave type in Sobolev space. (English) Zbl 1503.35167 SIAM J. Math. Anal. 54, No. 6, 6018-6053 (2022). MSC: 35Q35 76W05 35A01 35A02 76D03 PDFBibTeX XMLCite \textit{R. Ji} et al., SIAM J. Math. Anal. 54, No. 6, 6018--6053 (2022; Zbl 1503.35167) Full Text: DOI
Hu, Xiaoling; Xu, Xiaojing; Yuan, Difan Well-posedness of the surface wave problem for two dimensional micropolar fluids. (English) Zbl 1500.35224 J. Differ. Equations 340, 309-358 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35Q35 35R35 76A05 76U05 35A01 35A02 PDFBibTeX XMLCite \textit{X. Hu} et al., J. Differ. Equations 340, 309--358 (2022; Zbl 1500.35224) Full Text: DOI
Khor, Calvin; Xu, Xiaojing Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion. (English) Zbl 1490.35328 J. Funct. Anal. 283, No. 2, Article ID 109501, 26 p. (2022). MSC: 35Q35 76D05 80A19 45E05 35R05 35F25 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{C. Khor} and \textit{X. Xu}, J. Funct. Anal. 283, No. 2, Article ID 109501, 26 p. (2022; Zbl 1490.35328) Full Text: DOI arXiv
Li, Chaoying; Xu, Xiaojing; Ye, Zhuan On long-time asymptotic behavior for solutions to 2D temperature-dependent tropical climate model. (English) Zbl 1509.35229 Discrete Contin. Dyn. Syst. 42, No. 3, 1535-1568 (2022). MSC: 35Q35 35Q86 35B40 76D03 86A08 PDFBibTeX XMLCite \textit{C. Li} et al., Discrete Contin. Dyn. Syst. 42, No. 3, 1535--1568 (2022; Zbl 1509.35229) Full Text: DOI
Wang, Peixin; Wu, Jiahong; Xu, Xiaojing; Zhong, Yueyuan Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion. (English) Zbl 1481.35345 J. Funct. Anal. 282, No. 4, Article ID 109332, 55 p. (2022). MSC: 35Q35 35Q86 42A38 76D03 76A05 76D50 PDFBibTeX XMLCite \textit{P. Wang} et al., J. Funct. Anal. 282, No. 4, Article ID 109332, 55 p. (2022; Zbl 1481.35345) Full Text: DOI
Jiang, Song; Xu, Kun; Sun, Wenjun; Xu, Xiaojing Unified gas kinetic schemes for the radiation transfer equations. (Chinese. English summary) Zbl 1499.65498 Sci. Sin., Math. 51, No. 6, 799-832 (2021). MSC: 65M60 65M06 65N30 78A40 85A25 82C40 35B40 78M35 PDFBibTeX XMLCite \textit{S. Jiang} et al., Sci. Sin., Math. 51, No. 6, 799--832 (2021; Zbl 1499.65498) Full Text: DOI
Dong, Boqing; Wu, Jiahong; Xu, Xiaojing; Zhu, Ning Stability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipation. (English) Zbl 1487.35287 J. Math. Fluid Mech. 23, No. 4, Paper No. 100, 11 p. (2021). MSC: 35Q30 35B35 35B40 76D03 76D05 PDFBibTeX XMLCite \textit{B. Dong} et al., J. Math. Fluid Mech. 23, No. 4, Paper No. 100, 11 p. (2021; Zbl 1487.35287) Full Text: DOI
Wu, Jingbo; Xu, Xiaojing Existence of solutions to steady MHD system with multiply connected boundary. (English) Zbl 1487.76114 Acta Appl. Math. 175, Paper No. 2, 21 p. (2021). MSC: 76W05 76D03 35Q30 35Q60 PDFBibTeX XMLCite \textit{J. Wu} and \textit{X. Xu}, Acta Appl. Math. 175, Paper No. 2, 21 p. (2021; Zbl 1487.76114) Full Text: DOI
Dong, Bo-Qing; Li, Chaoying; Xu, Xiaojing; Ye, Zhuan Global smooth solution of 2D temperature-dependent tropical climate model. (English) Zbl 1473.35438 Nonlinearity 34, No. 8, 5662-5686 (2021). MSC: 35Q35 35Q86 35B65 76D03 86A08 86A10 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., Nonlinearity 34, No. 8, 5662--5686 (2021; Zbl 1473.35438) Full Text: DOI
Dong, Boqing; Wu, Jiahong; Xu, Xiaojing; Zhu, Ning Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation. (English) Zbl 1472.35292 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 116, 21 p. (2021). MSC: 35Q35 35B35 35B40 35B05 35B20 76D03 76D50 PDFBibTeX XMLCite \textit{B. Dong} et al., Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 116, 21 p. (2021; Zbl 1472.35292) Full Text: DOI arXiv
Li, Chaoying; Xu, Xiaojing; Ye, Zhuan Global well-posedness of a model on 2D Boussinesq-Bénard equations. (English) Zbl 1464.35236 Z. Angew. Math. Phys. 72, No. 1, Paper No. 18, 10 p. (2021). MSC: 35Q35 35B65 76D03 76R10 35A01 35A02 PDFBibTeX XMLCite \textit{C. Li} et al., Z. Angew. Math. Phys. 72, No. 1, Paper No. 18, 10 p. (2021; Zbl 1464.35236) Full Text: DOI
Lai, Suhua; Wu, Jiahong; Xu, Xiaojing; Zhang, Jianwen; Zhong, Yueyuan Optimal decay estimates for 2D Boussinesq equations with partial dissipation. (English) Zbl 1462.35407 J. Nonlinear Sci. 31, No. 1, Paper No. 16, 33 p. (2021). MSC: 35Q86 35Q35 35B40 42A38 76D50 86A05 86A10 PDFBibTeX XMLCite \textit{S. Lai} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 16, 33 p. (2021; Zbl 1462.35407) Full Text: DOI
Wang, Fengchao; Jiu, Quansen; Xu, Xiaojing Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum. (English) Zbl 1466.35347 J. Differ. Equations 286, 624-644 (2021). MSC: 35Q86 35Q35 35A01 35A02 35B45 76D03 76D09 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Differ. Equations 286, 624--644 (2021; Zbl 1466.35347) Full Text: DOI
Li, Chaoying; Wu, Jiahong; Xu, Xiaojing Smoothing and stabilization effects of magnetic field on electrically conducting fluids. (English) Zbl 1458.35339 J. Differ. Equations 276, 368-403 (2021). MSC: 35Q35 35B35 76W05 35B40 76E25 PDFBibTeX XMLCite \textit{C. Li} et al., J. Differ. Equations 276, 368--403 (2021; Zbl 1458.35339) Full Text: DOI
Li, Kexin; Shu, Xuanlin; Xu, Xiaojing Global existence of strong solutions to compressible Navier-Stokes system with degenerate heat conductivity in unbounded domains. (English) Zbl 1446.35128 Math. Methods Appl. Sci. 43, No. 4, 1543-1554 (2020). MSC: 35Q35 76N10 76N15 35D35 80A19 PDFBibTeX XMLCite \textit{K. Li} et al., Math. Methods Appl. Sci. 43, No. 4, 1543--1554 (2020; Zbl 1446.35128) Full Text: DOI arXiv
Wu, Jiahong; Xu, Xiaojing; Zhu, Ning Stability and decay rates for a variant of the 2D Boussinesq-Bénard system. (English) Zbl 1434.35128 Commun. Math. Sci. 17, No. 8, 2325-2352 (2019). MSC: 35Q35 76D03 76D05 35B40 35B35 35B65 35B20 PDFBibTeX XMLCite \textit{J. Wu} et al., Commun. Math. Sci. 17, No. 8, 2325--2352 (2019; Zbl 1434.35128) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Math. Pures Appl. (9) 115, 187--217 (2018; Zbl 1392.35240) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Math. Fluid Mech. 19, No. 3, 423--444 (2017; Zbl 1379.35255) 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 PDFBibTeX XMLCite \textit{Z. Ye} et al., Math. Nachr. 290, No. 8--9, 1420--1439 (2017; Zbl 1372.35254) Full Text: DOI
Li, Jingna; Shang, Haifeng; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Regularity criteria for the 2D Boussinesq equations with supercritical dissipation. (English) Zbl 1355.35152 Commun. Math. Sci. 14, No. 7, 1999-2022 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q35 35B65 76B03 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Math. Sci. 14, No. 7, 1999--2022 (2016; Zbl 1355.35152) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. (English) Zbl 1358.35136 Commun. Math. Sci. 14, No. 7, 1963-1997 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 35B65 76D03 PDFBibTeX XMLCite \textit{J. Wu} et al., Commun. Math. Sci. 14, No. 7, 1963--1997 (2016; Zbl 1358.35136) Full Text: DOI
Hou, Qianqian; Xu, Xiaojing; Ye, Zhuan Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum. (English) Zbl 1344.35080 Electron. J. Differ. Equ. 2016, Paper No. 192, 12 p. (2016). MSC: 35Q30 35B40 76D03 76D05 35B44 35D35 PDFBibTeX XMLCite \textit{Q. Hou} et al., Electron. J. Differ. Equ. 2016, Paper No. 192, 12 p. (2016; Zbl 1344.35080) Full Text: EMIS
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 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{X. Xu}, J. Math. Fluid Mech. 18, No. 2, 361--380 (2016; Zbl 1346.35168) Full Text: DOI arXiv
Chen, Mingtao; Xu, Xiaojing Unique solvability for the density-dependent non-Newtonian compressible fluids with vacuum. (English) Zbl 1376.76005 Math. Nachr. 289, No. 4, 452-470 (2016). MSC: 76A05 76N10 35Q35 35A01 35A02 PDFBibTeX XMLCite \textit{M. Chen} and \textit{X. Xu}, Math. Nachr. 289, No. 4, 452--470 (2016; Zbl 1376.76005) 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 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{X. Xu}, J. Differ. Equations 260, No. 8, 6716--6744 (2016; Zbl 1341.35135) Full Text: DOI
Adhikari, Dhanapati; Cao, Chongsheng; Shang, Haifeng; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global regularity results for the 2D Boussinesq equations with partial dissipation. (English) Zbl 1328.35161 J. Differ. Equations 260, No. 2, 1893-1917 (2016). MSC: 35Q35 35B65 35Q85 76W05 85A30 76R10 35B45 PDFBibTeX XMLCite \textit{D. Adhikari} et al., J. Differ. Equations 260, No. 2, 1893--1917 (2016; Zbl 1328.35161) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing A note on blow-up criterion of strong solutions for the 3D inhomogeneous incompressible Navier-Stokes equations with vacuum. (English) Zbl 1332.35304 Math. Phys. Anal. Geom. 18, No. 1, Article ID 24, 10 p. (2015). MSC: 35Q35 35B65 76D03 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{X. Xu}, Math. Phys. Anal. Geom. 18, No. 1, Article ID 24, 10 p. (2015; Zbl 1332.35304) Full Text: DOI
Jiu, Quansen; Niu, Dongjuan; Wu, Jiahong; Xu, Xiaojing; Yu, Huan The 2D magnetohydrodynamic equations with magnetic diffusion. (English) Zbl 1328.76076 Nonlinearity 28, No. 11, 3935-3955 (2015). MSC: 76W05 76D03 35Q35 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Nonlinearity 28, No. 11, 3935--3955 (2015; Zbl 1328.76076) Full Text: DOI
Karch, Grzegorz; Pudełko, Anna; Xu, Xiaojing Two-dimensional fractal Burgers equation with step-like initial conditions. (English) Zbl 1331.35370 Math. Methods Appl. Sci. 38, No. 13, 2830-2839 (2015). MSC: 35R11 35B40 35K15 35Q53 PDFBibTeX XMLCite \textit{G. Karch} et al., Math. Methods Appl. Sci. 38, No. 13, 2830--2839 (2015; Zbl 1331.35370) 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 PDFBibTeX XMLCite \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
Wu, Jiahong; Wu, Yifei; Xu, Xiaojing Global small solution to the 2D MHD system with a velocity damping term. (English) Zbl 1366.35145 SIAM J. Math. Anal. 47, No. 4, 2630-2656 (2015). MSC: 35Q35 35B65 76D03 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Wu} et al., SIAM J. Math. Anal. 47, No. 4, 2630--2656 (2015; Zbl 1366.35145) Full Text: DOI arXiv
Xu, Xiaojing; Ye, Zhuan; Zhang, Zujin Remark on an improved regularity criterion for the 3D MHD equations. (English) Zbl 1316.35065 Appl. Math. Lett. 42, 41-46 (2015). MSC: 35B65 76W05 PDFBibTeX XMLCite \textit{X. Xu} et al., Appl. Math. Lett. 42, 41--46 (2015; Zbl 1316.35065) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan Note on global regularity of 3D generalized magnetohydrodynamic-\(\alpha\) model with zero diffusivity. (English) Zbl 1314.35114 Commun. Pure Appl. Anal. 14, No. 2, 585-595 (2015). MSC: 35Q35 76D03 76W05 35R11 35B65 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Z. Ye}, Commun. Pure Appl. Anal. 14, No. 2, 585--595 (2015; Zbl 1314.35114) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum. (English) Zbl 1311.35236 J. Nonlinear Sci. 25, No. 1, 157-192 (2015). MSC: 35Q35 35B35 35B65 76D03 76W05 35Q86 86A10 76E06 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Nonlinear Sci. 25, No. 1, 157--192 (2015; Zbl 1311.35236) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Global regularity of 3D generalized incompressible magnetohydrodynamic-\(\alpha\) model. (English) Zbl 1314.76023 Appl. Math. Lett. 35, 1-6 (2014). MSC: 76D03 35Q35 35B65 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{X. Xu}, Appl. Math. Lett. 35, 1--6 (2014; Zbl 1314.76023) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation. (English) Zbl 1301.35115 Nonlinearity 27, No. 9, 2215-2232 (2014). MSC: 35Q35 35B35 35B65 76D03 35R11 86A05 PDFBibTeX XMLCite \textit{J. Wu} and \textit{X. Xu}, Nonlinearity 27, No. 9, 2215--2232 (2014; Zbl 1301.35115) Full Text: DOI Link
Hou, Qianqian; Xu, Xiaojing Time analyticity and backward uniqueness for the Boussinesq equations. (English) Zbl 1294.35100 Colloq. Math. 135, No. 1, 15-26 (2014). MSC: 35Q35 35B35 35B65 76D03 35D35 PDFBibTeX XMLCite \textit{Q. Hou} and \textit{X. Xu}, Colloq. Math. 135, No. 1, 15--26 (2014; Zbl 1294.35100) Full Text: DOI
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong; Xu, Xiaojing Small global solutions to the damped two-dimensional Boussinesq equations. (English) Zbl 1290.35193 J. Differ. Equations 256, No. 11, 3594-3613 (2014). Reviewer: Cheng He (Beijing) MSC: 35Q35 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{D. Adhikari} et al., J. Differ. Equations 256, No. 11, 3594--3613 (2014; Zbl 1290.35193) Full Text: DOI arXiv
Ye, Zhuan; Xu, Xiaojing Global regularity of the two-dimensional incompressible generalized magnetohydrodynamics system. (English) Zbl 1288.35406 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 86-96 (2014). Reviewer: Iván Abonyi (Budapest) MSC: 35Q35 35B35 35B65 76D03 76W05 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{X. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 86--96 (2014; Zbl 1288.35406) Full Text: DOI
Xu, Xiaojing; Xue, Liutang Yudovich type solution for the 2D inviscid Boussinesq system with critical and supercritical dissipation. (English) Zbl 1452.76030 J. Differ. Equations 256, No. 9, 3179-3207 (2014). MSC: 76B03 35Q35 35B44 PDFBibTeX XMLCite \textit{X. Xu} and \textit{L. Xue}, J. Differ. Equations 256, No. 9, 3179--3207 (2014; Zbl 1452.76030) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan The lifespan of solutions to the inviscid 3D Boussinesq system. (English) Zbl 1314.35113 Appl. Math. Lett. 26, No. 8, 854-859 (2013). MSC: 35Q35 42B25 76B03 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Z. Ye}, Appl. Math. Lett. 26, No. 8, 854--859 (2013; Zbl 1314.35113) Full Text: DOI
Li, Dong; Xu, Xiaojing Global wellposedness of an inviscid \(2D\) Boussinesq system with nonlinear thermal diffusivity. (English) Zbl 1302.35319 Dyn. Partial Differ. Equ. 10, No. 3, 255-265 (2013). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q35 76B03 PDFBibTeX XMLCite \textit{D. Li} and \textit{X. Xu}, Dyn. Partial Differ. Equ. 10, No. 3, 255--265 (2013; Zbl 1302.35319) Full Text: DOI
Xu, Xiaojing; Ye, Zhuan Life span of solutions with large initial data for a class of coupled parabolic systems. (English) Zbl 1270.35138 Z. Angew. Math. Phys. 64, No. 3, 705-717 (2013). MSC: 35B44 35K58 35K51 PDFBibTeX XMLCite \textit{X. Xu} and \textit{Z. Ye}, Z. Angew. Math. Phys. 64, No. 3, 705--717 (2013; Zbl 1270.35138) Full Text: DOI
Ye, Zhuan; Xu, Xiaojing Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources. (English) Zbl 1263.35128 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 115-126 (2013). MSC: 35K45 74H40 35K65 35K59 35B44 35R09 PDFBibTeX XMLCite \textit{Z. Ye} and \textit{X. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 115--126 (2013; Zbl 1263.35128) Full Text: DOI
Xu, Fuyi; Xu, Xiaojing; Yuan, Jia Logarithmically improved regularity criteria for the micropolar fluid equations. (English) Zbl 1251.35093 Appl. Math. 39, No. 3, 315-328 (2012). MSC: 35Q35 76W05 35B65 PDFBibTeX XMLCite \textit{F. Xu} et al., Appl. Math. 39, No. 3, 315--328 (2012; Zbl 1251.35093) Full Text: DOI
Xu, Xiaojing Local existence and blow-up criterion of the 2-D compressible Boussinesq equations without dissipation terms. (English) Zbl 1180.35144 Discrete Contin. Dyn. Syst. 25, No. 4, 1333-1347 (2009). MSC: 35B45 35L60 35Q35 76N10 35B44 PDFBibTeX XMLCite \textit{X. Xu}, Discrete Contin. Dyn. Syst. 25, No. 4, 1333--1347 (2009; Zbl 1180.35144) Full Text: DOI
Xu, Xiaojing Local well-posedness and ill-posedness for the fractal Burgers equation in homogeneous Sobolev spaces. (English) Zbl 1155.35420 Math. Methods Appl. Sci. 32, No. 3, 359-370 (2009). MSC: 35Q35 PDFBibTeX XMLCite \textit{X. Xu}, Math. Methods Appl. Sci. 32, No. 3, 359--370 (2009; Zbl 1155.35420) Full Text: DOI
Yuan, Hongjun; Xu, Xiaojing Existence and uniqueness of solutions for a class of non-Newtonian fluids with singularity and vacuum. (English) Zbl 1148.76004 J. Differ. Equations 245, No. 10, 2871-2916 (2008). MSC: 76A05 76N10 35Q35 PDFBibTeX XMLCite \textit{H. Yuan} and \textit{X. Xu}, J. Differ. Equations 245, No. 10, 2871--2916 (2008; Zbl 1148.76004) Full Text: DOI
Karch, Grzegorz; Miao, Changxing; Xu, Xiaojing On convergence of solutions of fractal Burgers equation toward rarefaction waves. (English) Zbl 1154.35080 SIAM J. Math. Anal. 39, No. 5, 1536-1549 (2008). MSC: 35Q53 35B40 35K55 60J60 PDFBibTeX XMLCite \textit{G. Karch} et al., SIAM J. Math. Anal. 39, No. 5, 1536--1549 (2008; Zbl 1154.35080) Full Text: DOI arXiv
Yin, Li; Xu, Xiaojing; Yuan, Hongjun Global existence and uniqueness of solution of the initial-boundary value problem for a class of non-Newtonian fluids with vacuum. (English) Zbl 1143.76009 Z. Angew. Math. Phys. 59, No. 3, 457-474 (2008). MSC: 76A05 35Q35 PDFBibTeX XMLCite \textit{L. Yin} et al., Z. Angew. Math. Phys. 59, No. 3, 457--474 (2008; Zbl 1143.76009) Full Text: DOI
Xu, Xiaojing; Yuan, Hongjun Existence of the unique strong solution for a class of non-Newtonian fluids with vacuum. (English) Zbl 1142.76008 Q. Appl. Math. 66, No. 2, 249-279 (2008). MSC: 76A05 76N10 35Q35 PDFBibTeX XMLCite \textit{X. Xu} and \textit{H. Yuan}, Q. Appl. Math. 66, No. 2, 249--279 (2008; Zbl 1142.76008) Full Text: DOI Link
Yuan, Hong Jun; Lian, Song Zhe; Cao, Chun Ling; Gao, Wen Jie; Xu, Xiao Jing Extinction and positivity for a doubly nonlinear degenerate parabolic equation. (English) Zbl 1128.35061 Acta Math. Sin., Engl. Ser. 23, No. 10, 1751-1756 (2007). MSC: 35K65 35K20 35K55 35B05 PDFBibTeX XMLCite \textit{H. J. Yuan} et al., Acta Math. Sin., Engl. Ser. 23, No. 10, 1751--1756 (2007; Zbl 1128.35061) Full Text: DOI
Lian, Songzhe; Yuan, Hongjun; Cao, Chunling; Gao, Wenjie; Xu, Xiaojing On the Cauchy problem for the evolution \(p\)-Laplacian equations with gradient term and source. (English) Zbl 1128.35059 J. Differ. Equations 235, No. 2, 544-585 (2007). Reviewer: Pavol Quittner (Bratislava) MSC: 35K65 35B35 35K55 35K15 PDFBibTeX XMLCite \textit{S. Lian} et al., J. Differ. Equations 235, No. 2, 544--585 (2007; Zbl 1128.35059) Full Text: DOI
Yuan, Hongjun; Xu, Xiaojing Some entropy inequalities for a quasilinear degenerate hyperbolic equations. (English) Zbl 1097.35110 J. Partial Differ. Equations 18, No. 4, 289-303 (2005). MSC: 35L80 35L60 35L65 PDFBibTeX XMLCite \textit{H. Yuan} and \textit{X. Xu}, J. Partial Differ. Equations 18, No. 4, 289--303 (2005; Zbl 1097.35110)
Yuan, Hongjun; Tong, Lining; Xu, Xiaojing BV solutions for the Cauchy problem of a quasilinear hyperbolic equation with \(\sigma\)-finite Borel measure and nonlinear source. (English) Zbl 1077.35085 J. Math. Anal. Appl. 311, No. 2, 715-735 (2005). MSC: 35L60 35L45 35R05 35D05 PDFBibTeX XMLCite \textit{H. Yuan} et al., J. Math. Anal. Appl. 311, No. 2, 715--735 (2005; Zbl 1077.35085) Full Text: DOI
Yuan, Hongjun; Xu, Xiaojing; Gao, Wenjie; Lian, Songzhe; Cao, Chunling Extinction and positivity for the evolution \(p\)-Laplacian equation with \(L^1\) initial value. (English) Zbl 1131.35353 J. Math. Anal. Appl. 310, No. 1, 328-337 (2005). MSC: 35K65 35B05 35K60 PDFBibTeX XMLCite \textit{H. Yuan} et al., J. Math. Anal. Appl. 310, No. 1, 328--337 (2005; Zbl 1131.35353) Full Text: DOI
Yuan, Hongjun; Xu, Xiaojing Existence and uniqueness of BV solutions for a quasilinear degenerate hyperbolic equation with local finite measures as initial conditions. (Chinese. English translation) Zbl 1071.35075 Chin. Ann. Math., Ser. A 26, No. 1, 39-48 (2005); translation in Chin. J. Contemp. Math. 26, No. 1, 43-54 (2005). MSC: 35L45 35L60 35L65 35L80 PDFBibTeX XMLCite \textit{H. Yuan} and \textit{X. Xu}, Chin. Ann. Math., Ser. A 26, No. 1, 39--48 (2005; Zbl 1071.35075); translation in Chin. J. Contemp. Math. 26, No. 1, 43--54 (2005)
Yuan, Hongjun; Lian, Songzhe; Gao, Wenjie; Xu, Xiaojing; Cao, Chunling Extinction and positivity for the evolution \(p\)-Laplacian equation in \(\mathbb{R}^n\). (English) Zbl 1060.35064 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 6, 1085-1091 (2005). MSC: 35K65 35B05 PDFBibTeX XMLCite \textit{H. Yuan} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 6, 1085--1091 (2005; Zbl 1060.35064) Full Text: DOI
Yuan, Hongjun; Xu, Xiaojing BV solutions for the first order quasilinear equation with local finite measure as initial value. (Chinese. English summary) Zbl 1090.35544 J. Jilin Univ., Sci. 42, No. 3, 380-386 (2004). MSC: 35L60 35L45 35D05 35R05 PDFBibTeX XMLCite \textit{H. Yuan} and \textit{X. Xu}, J. Jilin Univ., Sci. 42, No. 3, 380--386 (2004; Zbl 1090.35544)