Liu, Fengling; Zhang, Nangao; Zhu, Changjiang Convergence to diffusion waves for solutions of 1D Keller-Segel model. (English) Zbl 07781767 Math. Methods Appl. Sci. 46, No. 4, 3674-3702 (2023). MSC: 85A25 35L65 35B40 PDFBibTeX XMLCite \textit{F. Liu} et al., Math. Methods Appl. Sci. 46, No. 4, 3674--3702 (2023; Zbl 07781767) Full Text: DOI arXiv
Cui, Haibo; Yin, Haiyan; Zhu, Changjiang Convergence rates to the Barenblatt solutions for the compressible Euler equations with time-dependent damping. (English) Zbl 1527.35237 J. Differ. Equations 374, 761-788 (2023). MSC: 35Q31 76S05 76N10 35L65 35B40 35D30 35C06 35A01 35A02 PDFBibTeX XMLCite \textit{H. Cui} et al., J. Differ. Equations 374, 761--788 (2023; Zbl 1527.35237) Full Text: DOI
Chen, Senming; Zhu, Changjiang The global classical solution to a 1D two-fluid model with density-dependent viscosity and vacuum. (English) Zbl 1502.76103 Sci. China, Math. 65, No. 12, 2563-2582 (2022). MSC: 76T06 76N06 35Q30 PDFBibTeX XMLCite \textit{S. Chen} and \textit{C. Zhu}, Sci. China, Math. 65, No. 12, 2563--2582 (2022; Zbl 1502.76103) Full Text: DOI
Wen, Huanyao; Zhu, Changjiang Remarks on global weak solutions to a two-fluid type model. (English) Zbl 1513.76154 Commun. Pure Appl. Anal. 20, No. 7-8, 2839-2856 (2021). MSC: 76T10 35Q30 35D30 PDFBibTeX XMLCite \textit{H. Wen} and \textit{C. Zhu}, Commun. Pure Appl. Anal. 20, No. 7--8, 2839--2856 (2021; Zbl 1513.76154) Full Text: DOI
Duan, Renjun; Yin, Haiyan; Zhu, Changjiang A half-space problem on the full Euler-Poisson system. (English) Zbl 1476.35032 SIAM J. Math. Anal. 53, No. 5, 6094-6121 (2021). MSC: 35B35 35B40 35L50 35L60 PDFBibTeX XMLCite \textit{R. Duan} et al., SIAM J. Math. Anal. 53, No. 5, 6094--6121 (2021; Zbl 1476.35032) Full Text: DOI arXiv
Chen, Senming; Zhu, Changjiang Blow-up criterion and the global existence of strong/classical solutions to Navier-Stokes/Allen-Cahn system. (English) Zbl 1464.35041 Z. Angew. Math. Phys. 72, No. 1, Paper No. 14, 24 p. (2021). MSC: 35B44 35D30 35Q30 76T10 PDFBibTeX XMLCite \textit{S. Chen} and \textit{C. Zhu}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 14, 24 p. (2021; Zbl 1464.35041) Full Text: DOI
Hong, Guangyi; Wen, Huanyao; Zhu, Changjiang Large-time behavior of the spherically symmetric compressible Navier-Stokes equations with degenerate viscosity coefficients. (English) Zbl 1417.35094 Z. Angew. Math. Phys. 70, No. 2, Paper No. 59, 43 p. (2019). MSC: 35Q30 35D30 35B40 76N10 35R35 76B15 76N17 PDFBibTeX XMLCite \textit{G. Hong} et al., Z. Angew. Math. Phys. 70, No. 2, Paper No. 59, 43 p. (2019; Zbl 1417.35094) Full Text: DOI
Hong, Guangyi; Zhu, Changjiang Optimal decay rates on compressible Navier-Stokes equations with degenerate viscosity and vacuum. (English. French summary) Zbl 1412.35219 J. Math. Pures Appl. (9) 124, 1-29 (2019). MSC: 35Q30 35D30 76N10 35R35 35B40 PDFBibTeX XMLCite \textit{G. Hong} and \textit{C. Zhu}, J. Math. Pures Appl. (9) 124, 1--29 (2019; Zbl 1412.35219) Full Text: DOI
Zhang, Peixin; Zhu, Changjiang Global classical solutions to 1D full compressible Navier-Stokes equations with the Robin boundary condition on temperature. (English) Zbl 1412.35232 Nonlinear Anal., Real World Appl. 47, 306-323 (2019). MSC: 35Q30 35A09 35A01 76N10 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{C. Zhu}, Nonlinear Anal., Real World Appl. 47, 306--323 (2019; Zbl 1412.35232) Full Text: DOI
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type. (English) Zbl 1394.35358 Nonlinear Anal., Real World Appl. 43, 18-53 (2018). MSC: 35Q35 35A01 35B40 35A09 PDFBibTeX XMLCite \textit{X. Hou} et al., Nonlinear Anal., Real World Appl. 43, 18--53 (2018; Zbl 1394.35358) Full Text: DOI
Hong, Guangyi; Luo, Tao; Zhu, Changjiang Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions. (English) Zbl 1390.35363 J. Differ. Equations 265, No. 1, 177-236 (2018). MSC: 35Q85 35B35 35B40 76N10 35R35 35Q35 85A30 35D35 PDFBibTeX XMLCite \textit{G. Hong} et al., J. Differ. Equations 265, No. 1, 177--236 (2018; Zbl 1390.35363) Full Text: DOI
Hou, Xiaofeng; Peng, Hongyun; Zhu, Changjiang Global classical solutions to the 3D Navier-Stokes-Korteweg equations with small initial energy. (English) Zbl 1375.76043 Anal. Appl., Singap. 16, No. 1, 55-84 (2018). MSC: 76D07 35Q35 76N10 PDFBibTeX XMLCite \textit{X. Hou} et al., Anal. Appl., Singap. 16, No. 1, 55--84 (2018; Zbl 1375.76043) Full Text: DOI
Ruan, Lizhi; Yin, Haiyan; Zhu, Changjiang Stability of the superposition of rarefaction wave and contact discontinuity for the non-isentropic Navier-Stokes-Poisson system. (English) Zbl 1367.35127 Math. Methods Appl. Sci. 40, No. 7, 2784-2810 (2017). MSC: 35Q35 35B35 82D10 35Q31 76N10 35B40 76X05 PDFBibTeX XMLCite \textit{L. Ruan} et al., Math. Methods Appl. Sci. 40, No. 7, 2784--2810 (2017; Zbl 1367.35127) Full Text: DOI
Feng, Zefu; Zhu, Changjiang; Zi, Ruizhao Blow-up criterion for the incompressible viscoelastic flows. (English) Zbl 1358.76009 J. Funct. Anal. 272, No. 9, 3742-3762 (2017). MSC: 76A10 76D03 PDFBibTeX XMLCite \textit{Z. Feng} et al., J. Funct. Anal. 272, No. 9, 3742--3762 (2017; Zbl 1358.76009) Full Text: DOI
Wen, Huanyao; Zhu, Changjiang Global solutions to the three-dimensional full compressible Navier-Stokes equations with vacuum at infinity in some classes of large data. (English) Zbl 1366.35119 SIAM J. Math. Anal. 49, No. 1, 162-221 (2017). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 76N10 35B40 35K65 35B44 35D35 PDFBibTeX XMLCite \textit{H. Wen} and \textit{C. Zhu}, SIAM J. Math. Anal. 49, No. 1, 162--221 (2017; Zbl 1366.35119) Full Text: DOI arXiv
Hou, Xiaofeng; Yao, Lei; Zhu, Changjiang Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system. (English) Zbl 1358.35120 J. Math. Anal. Appl. 448, No. 1, 421-446 (2017). MSC: 35Q35 76N10 35B65 PDFBibTeX XMLCite \textit{X. Hou} et al., J. Math. Anal. Appl. 448, No. 1, 421--446 (2017; Zbl 1358.35120) Full Text: DOI
Duan, RenJun; Liu, ShuangQian; Yin, HaiYan; Zhu, ChangJiang Stability of the rarefaction wave for a two-fluid plasma model with diffusion. (English) Zbl 1362.35038 Sci. China, Math. 59, No. 1, 67-84 (2016). Reviewer: Simonetta Abenda (Bologna) MSC: 35B35 35B40 35Q35 82D10 76X05 35Q31 PDFBibTeX XMLCite \textit{R. Duan} et al., Sci. China, Math. 59, No. 1, 67--84 (2016; Zbl 1362.35038) Full Text: DOI
Cui, Haibo; Wang, Wenjun; Yao, Lei; Zhu, Changjiang Decay rates for a nonconservative compressible generic two-fluid model. (English) Zbl 1331.76120 SIAM J. Math. Anal. 48, No. 1, 470-512 (2016). MSC: 76T10 76N10 PDFBibTeX XMLCite \textit{H. Cui} et al., SIAM J. Math. Anal. 48, No. 1, 470--512 (2016; Zbl 1331.76120) Full Text: DOI
Yang, Jing; Yao, Lei; Zhu, Changjiang Vanishing capillarity-viscosity limit for the incompressible inhomogeneous fluid models of Korteweg type. (English) Zbl 1327.76050 Z. Angew. Math. Phys. 66, No. 5, 2285-2303 (2015). MSC: 76D03 76D05 76D45 PDFBibTeX XMLCite \textit{J. Yang} et al., Z. Angew. Math. Phys. 66, No. 5, 2285--2303 (2015; Zbl 1327.76050) Full Text: DOI
Duan, Renjun; Liu, Qingqin; Zhu, Changjiang Darcy’s law and diffusion for a two-fluid Euler-Maxwell system with dissipation. (English) Zbl 1330.35318 Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2089, 2089-2151 (2015). MSC: 35Q35 35B40 35P20 76S05 35Q60 76K05 PDFBibTeX XMLCite \textit{R. Duan} et al., Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2089, 2089--2151 (2015; Zbl 1330.35318) Full Text: DOI arXiv
Zhang, Yinghui; Zhu, Changjiang Global existence and optimal convergence rates for the strong solutions in \(H^2\) to the 3D viscous liquid-gas two-phase flow model. (English) Zbl 1311.35238 J. Differ. Equations 258, No. 7, 2315-2338 (2015). MSC: 35Q35 35D35 35A01 76T10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{C. Zhu}, J. Differ. Equations 258, No. 7, 2315--2338 (2015; Zbl 1311.35238) Full Text: DOI
Evje, Steinar; Liu, Qingqing; Zhu, Changjiang Asymptotic stability of the compressible gas-liquid model with well-formation interaction and gravity. (English) Zbl 1446.76165 J. Differ. Equations 257, No. 9, 3226-3271 (2014). MSC: 76T10 76N10 35B40 PDFBibTeX XMLCite \textit{S. Evje} et al., J. Differ. Equations 257, No. 9, 3226--3271 (2014; Zbl 1446.76165) Full Text: DOI
Wen, Huanyao; Zhu, Changjiang Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data. (English) Zbl 1304.35511 J. Math. Pures Appl. (9) 102, No. 3, 498-545 (2014). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76N10 35D35 PDFBibTeX XMLCite \textit{H. Wen} and \textit{C. Zhu}, J. Math. Pures Appl. (9) 102, No. 3, 498--545 (2014; Zbl 1304.35511) Full Text: DOI arXiv
Liu, Qingqing; Zhu, Changjiang Asymptotic behavior of a viscous liquid-gas model with mass-dependent viscosity and vacuum. (English) Zbl 1252.76076 J. Differ. Equations 252, No. 3, 2492-2519 (2012). Reviewer: Kun Zhao (Iowa City) MSC: 76N10 76T10 35Q35 35R35 35B40 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{C. Zhu}, J. Differ. Equations 252, No. 3, 2492--2519 (2012; Zbl 1252.76076) Full Text: DOI arXiv
Ding, Shijin; Wen, Huanyao; Zhu, Changjiang Global classical large solutions to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum. (English) Zbl 1314.76038 J. Differ. Equations 251, No. 6, 1696-1725 (2011). MSC: 76N10 35Q30 PDFBibTeX XMLCite \textit{S. Ding} et al., J. Differ. Equations 251, No. 6, 1696--1725 (2011; Zbl 1314.76038) Full Text: DOI
Yao, Lei; Zhu, Chang Jiang Existence and uniqueness of global weak solution to a two-phase flow model with vacuum. (English) Zbl 1307.35238 Math. Ann. 349, No. 4, 903-928 (2011). MSC: 35Q35 35L65 76T10 76N10 35A01 35A02 35D30 65M20 PDFBibTeX XMLCite \textit{L. Yao} and \textit{C. J. Zhu}, Math. Ann. 349, No. 4, 903--928 (2011; Zbl 1307.35238) Full Text: DOI
Zhang, Guojing; Li, Hai-Liang; Zhu, Changjiang Optimal decay rate of the non-isentropic compressible Navier-Stokes-Poisson system in \(\mathbb R^3\). (English) Zbl 1205.35237 J. Differ. Equations 250, No. 2, 866-891 (2011). MSC: 35Q35 76N10 35P05 35B40 PDFBibTeX XMLCite \textit{G. Zhang} et al., J. Differ. Equations 250, No. 2, 866--891 (2011; Zbl 1205.35237) Full Text: DOI
Guo, Zhen Hua; Zhu, Chang Jiang Remarks on one-dimensional compressible Navier-Stokes equations with density-dependent viscosity and vacuum. (English) Zbl 1202.35155 Acta Math. Sin., Engl. Ser. 26, No. 10, 2015-2030 (2010). MSC: 35Q30 35D30 76N10 35B40 PDFBibTeX XMLCite \textit{Z. H. Guo} and \textit{C. J. Zhu}, Acta Math. Sin., Engl. Ser. 26, No. 10, 2015--2030 (2010; Zbl 1202.35155) Full Text: DOI
Guo, Zhenhua; Zhu, Changjiang Global weak solutions and asymptotic behavior to 1D compressible Navier-Stokes equations with density-dependent viscosity and vacuum. (English) Zbl 1193.35131 J. Differ. Equations 248, No. 11, 2768-2799 (2010). MSC: 35Q30 76N17 35B40 PDFBibTeX XMLCite \textit{Z. Guo} and \textit{C. Zhu}, J. Differ. Equations 248, No. 11, 2768--2799 (2010; Zbl 1193.35131) Full Text: DOI
Zhu, Changjiang Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum. (English) Zbl 1195.35245 Commun. Math. Phys. 293, No. 1, 279-299 (2010). MSC: 35Q30 35B45 35B40 76N10 PDFBibTeX XMLCite \textit{C. Zhu}, Commun. Math. Phys. 293, No. 1, 279--299 (2010; Zbl 1195.35245) Full Text: DOI
Duan, Renjun; Fellner, Klemens; Zhu, Changjiang Energy method for multi-dimensional balance laws with non-local dissipation. (English) Zbl 1197.35050 J. Math. Pures Appl. (9) 93, No. 6, 572-598 (2010). MSC: 35B40 35B45 35L65 PDFBibTeX XMLCite \textit{R. Duan} et al., J. Math. Pures Appl. (9) 93, No. 6, 572--598 (2010; Zbl 1197.35050) Full Text: DOI
Ding, Shijin; Wen, Huanyao; Yao, Lei; Zhu, Changjiang Global solutions to one-dimensional compressible Navier-Stokes-Poisson equations with density-dependent viscosity. (English) Zbl 1202.35167 J. Math. Phys. 50, No. 2, 023101, 17 p. (2009). MSC: 35Q35 35D30 35R35 76D05 PDFBibTeX XMLCite \textit{S. Ding} et al., J. Math. Phys. 50, No. 2, 023101, 17 p. (2009; Zbl 1202.35167) Full Text: DOI
Yao, Lei; Zhu, Changjiang Free boundary value problem for a viscous two-phase model with mass-dependent viscosity. (English) Zbl 1228.76180 J. Differ. Equations 247, No. 10, 2705-2739 (2009). MSC: 76T10 76N10 35R35 35L65 35D30 PDFBibTeX XMLCite \textit{L. Yao} and \textit{C. Zhu}, J. Differ. Equations 247, No. 10, 2705--2739 (2009; Zbl 1228.76180) Full Text: DOI
Sun, Meiman; Zhu, Changjiang Vacuum states on compressible Navier-Stokes equations with general density-dependent viscosity and general pressure law. (English) Zbl 1134.35389 Sci. China, Ser. A 50, No. 8, 1173-1185 (2007). MSC: 35Q30 76N10 35B45 35D30 PDFBibTeX XMLCite \textit{M. Sun} and \textit{C. Zhu}, Sci. China, Ser. A 50, No. 8, 1173--1185 (2007; Zbl 1134.35389) Full Text: DOI
Duan, Renjun; Yang, Tong; Zhu, Changjiang Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system. (English) Zbl 1253.82079 J. Math. Anal. Appl. 327, No. 1, 425-434 (2007). MSC: 82D10 35Q83 35J60 76P05 76X05 82C40 PDFBibTeX XMLCite \textit{R. Duan} et al., J. Math. Anal. Appl. 327, No. 1, 425--434 (2007; Zbl 1253.82079) Full Text: DOI
Duan, Renjun; Zhang, Mei; Zhu, Changjiang \(L^{1}\) stability for the Vlasov-Poisson-Boltzmann system around vacuum. (English) Zbl 1096.76050 Math. Models Methods Appl. Sci. 16, No. 9, 1505-1526 (2006). MSC: 76P05 76X05 45K05 PDFBibTeX XMLCite \textit{R. Duan} et al., Math. Models Methods Appl. Sci. 16, No. 9, 1505--1526 (2006; Zbl 1096.76050) Full Text: DOI
Liu, Yanhong; Zhu, Changjiang Stationary solutions to Euler equations with spherical symmetry. (English) Zbl 1070.35019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 1-2, 261-267 (2005). MSC: 35Q05 76N10 35B40 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{C. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 61, No. 1--2, 261--267 (2005; Zbl 1070.35019) Full Text: DOI
Ruan, Lizhi; Zhu, Changjiang Existence of global smooth solution to the relativistic Euler equations. (English) Zbl 1072.35189 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 6, 993-1001 (2005). Reviewer: A. D. Osborne (Keele) MSC: 35Q75 83A05 PDFBibTeX XMLCite \textit{L. Ruan} and \textit{C. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 6, 993--1001 (2005; Zbl 1072.35189) Full Text: DOI
Zhu, Changjiang; Zhao, Huijiang Well-posedness of the global entropy solution to the Cauchy problem of a hyperbolic conservation laws with relaxation. (English) Zbl 1049.35131 J. Math. Anal. Appl. 291, No. 2, 438-458 (2004). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35L45 35D05 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{H. Zhao}, J. Math. Anal. Appl. 291, No. 2, 438--458 (2004; Zbl 1049.35131) Full Text: DOI
Vong, Seak-Weng; Yang, Tong; Zhu, Changjiang Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II. (English) Zbl 1025.35020 J. Differ. Equations 192, No. 2, 475-501 (2003). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q30 76D05 35Q35 PDFBibTeX XMLCite \textit{S.-W. Vong} et al., J. Differ. Equations 192, No. 2, 475--501 (2003; Zbl 1025.35020) Full Text: DOI
Yang, Tong; Zhao, Huijiang; Zhu, Changjiang BV estimates of Lax-Friedrichs’ scheme for a class of nonlinear hyperbolic conservation laws. (English) Zbl 1195.35209 Proc. Am. Math. Soc. 131, No. 4, 1257-1266 (2003). MSC: 35L60 35L65 65N12 PDFBibTeX XMLCite \textit{T. Yang} et al., Proc. Am. Math. Soc. 131, No. 4, 1257--1266 (2003; Zbl 1195.35209) Full Text: DOI
Yang, Tong; Zhu, Changjiang Existence and non-existence of global smooth solutions for \(p\)-system with relaxation. (English) Zbl 0958.35081 J. Differ. Equations 161, No. 2, 321-336 (2000). Reviewer: H.S.Nur (Fresno) MSC: 35L60 35B25 35L45 PDFBibTeX XMLCite \textit{T. Yang} and \textit{C. Zhu}, J. Differ. Equations 161, No. 2, 321--336 (2000; Zbl 0958.35081) Full Text: DOI
Yang, Tong; Zhu, Changjiang; Zhao, Huijiang Compactness framework of \(L^p\) approximate solutions for scalar conservation laws. (English) Zbl 0912.35106 J. Math. Anal. Appl. 220, No. 1, 164-186 (1998). Reviewer: A.Meister (Hamburg) MSC: 35L65 PDFBibTeX XMLCite \textit{T. Yang} et al., J. Math. Anal. Appl. 220, No. 1, 164--186 (1998; Zbl 0912.35106) Full Text: DOI
Yang, Tong; Yao, Zhengan; Zhu, Changjiang Existence of global weak solutions for a viscoelastic model with relaxation. (English) Zbl 0895.35062 Appl. Anal. 67, No. 3-4, 313-326 (1997). Reviewer: Tong Yang (Hong Kong) MSC: 35L65 35D05 35L45 35K55 PDFBibTeX XMLCite \textit{T. Yang} et al., Appl. Anal. 67, No. 3--4, 313--326 (1997; Zbl 0895.35062) Full Text: DOI
Yang, Tong; Zhu, Changjiang; Zhao, Huijiang Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms. (English) Zbl 0899.35059 Proc. R. Soc. Edinb., Sect. A, Math. 127, No. 6, 1311-1324 (1997). Reviewer: R.Picard (Dresden) MSC: 35L60 35L45 PDFBibTeX XMLCite \textit{T. Yang} et al., Proc. R. Soc. Edinb., Sect. A, Math. 127, No. 6, 1311--1324 (1997; Zbl 0899.35059) Full Text: DOI
Zhao, Huijiang; Zhu, Changjiang; Yu, Zhong Existence and convergence of solutions to a singularly perturbed higher order partially differential equation. (English) Zbl 0831.35010 Nonlinear Anal., Theory Methods Appl. 24, No. 10, 1435-1455 (1995). Reviewer: D.Huet (Nancy) MSC: 35B25 35B30 35Q53 PDFBibTeX XMLCite \textit{H. Zhao} et al., Nonlinear Anal., Theory Methods Appl. 24, No. 10, 1435--1455 (1995; Zbl 0831.35010) Full Text: DOI