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
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
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
Duan, Renjun; Ruan, Lizhi; Zhu, Changjiang Optimal decay rates to conservation laws with diffusion-type terms of regularity-gain and regularity-loss. (English) Zbl 1241.35133 Math. Models Methods Appl. Sci. 22, No. 7, 1250012, 39 p. (2012). MSC: 35L65 35B40 PDFBibTeX XMLCite \textit{R. Duan} et al., Math. Models Methods Appl. Sci. 22, No. 7, 1250012, 39 p. (2012; Zbl 1241.35133) Full Text: DOI arXiv
Duan, Renjun; Liu, Qingqing; Zhu, Changjiang The Cauchy problem on the compressible two-fluids Euler-Maxwell equations. (English) Zbl 1236.35116 SIAM J. Math. Anal. 44, No. 1, 102-133 (2012). MSC: 35Q31 35Q60 35A01 35B40 PDFBibTeX XMLCite \textit{R. Duan} et al., SIAM J. Math. Anal. 44, No. 1, 102--133 (2012; Zbl 1236.35116) 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
Duan, Renjun; Lin, Saipan; Zhu, Changjiang Optimal \(L^{p}(1\leq p \leq \infty)\) rates of decay to linear diffusion waves for nonlinear evolution equations with ellipticity and dissipation. (English) Zbl 1113.35088 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 11, 2335-2344 (2007). MSC: 35K45 35B40 35K55 PDFBibTeX XMLCite \textit{R. Duan} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 11, 2335--2344 (2007; Zbl 1113.35088) Full Text: DOI
Duan, Renjun; Yang, Tong; Zhu, Changjiang Navier-Stokes equations with degenerate viscosity, vacuum and gravitational force. (English) Zbl 1128.35082 Math. Methods Appl. Sci. 30, No. 3, 347-374 (2007). Reviewer: Klaus Deckelnick (Magdeburg) MSC: 35Q30 76N10 35K60 PDFBibTeX XMLCite \textit{R. Duan} et al., Math. Methods Appl. Sci. 30, No. 3, 347--374 (2007; Zbl 1128.35082) 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; Yang, Tong; Zhu, Changjiang Boltzmann equation with external force and Vlasov-Poisson-Boltzmann system in infinite vacuum. (English) Zbl 1185.35035 Discrete Contin. Dyn. Syst. 16, No. 1, 253-277 (2006). MSC: 35F25 35Q20 76P05 82C40 PDFBibTeX XMLCite \textit{R. Duan} et al., Discrete Contin. Dyn. Syst. 16, No. 1, 253--277 (2006; Zbl 1185.35035) Full Text: DOI
Duan, Renjun; Tang, Shaoqiang; Zhu, Changjiang Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant. (English) Zbl 1107.35026 J. Math. Anal. Appl. 323, No. 2, 1152-1170 (2006). MSC: 35B40 34B45 35K50 PDFBibTeX XMLCite \textit{R. Duan} et al., J. Math. Anal. Appl. 323, No. 2, 1152--1170 (2006; Zbl 1107.35026) 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
Duan, Renjun; Yang, Tong; Zhu, Changjiang \(L^{1}\) and BV-type stability of the Boltzmann equation with external forces. (English) Zbl 1101.76051 J. Differ. Equations 227, No. 1, 1-28 (2006). MSC: 76P05 45K05 PDFBibTeX XMLCite \textit{R. Duan} et al., J. Differ. Equations 227, No. 1, 1--28 (2006; Zbl 1101.76051) Full Text: DOI
Duan, Renjun; Yang, Tong; Zhu, Changjiang Global existence to Boltzmann equation with external force in infinite vacuum. (English) Zbl 1110.82034 J. Math. Phys. 46, No. 5, 053307, 13 p. (2005). MSC: 82C40 82B40 PDFBibTeX XMLCite \textit{R. Duan} et al., J. Math. Phys. 46, No. 5, 053307, 13 p. (2005; Zbl 1110.82034) Full Text: DOI
Duan, Renjun; Zhu, Changjiang Asymptotics of dissipative nonlinear evolution equations with ellipticity: different end states. (English) Zbl 1063.35069 J. Math. Anal. Appl. 303, No. 1, 15-35 (2005). MSC: 35K45 35K50 35B45 35B40 PDFBibTeX XMLCite \textit{R. Duan} and \textit{C. Zhu}, J. Math. Anal. Appl. 303, No. 1, 15--35 (2005; Zbl 1063.35069) Full Text: DOI
Zhu, Changjiang; Duan, Renjun Existence and uniqueness of entropy solution to initial boundary value problem for the inviscid Burgers equation. (English) Zbl 1168.35393 J. Phys. A, Math. Gen. 36, No. 8, 2099-2107 (2003). MSC: 35L65 35D05 35K05 PDFBibTeX XMLCite \textit{C. Zhu} and \textit{R. Duan}, J. Phys. A, Math. Gen. 36, No. 8, 2099--2107 (2003; Zbl 1168.35393) Full Text: DOI
Duan, Renjun; Zhu, Changjiang A note on semiconcave function. (English) Zbl 1067.26010 Appl. Anal. 82, No. 9, 889-894 (2003). Reviewer: Pavol Quittner (Bratislava) MSC: 26B25 26D20 PDFBibTeX XMLCite \textit{R. Duan} and \textit{C. Zhu}, Appl. Anal. 82, No. 9, 889--894 (2003; Zbl 1067.26010) Full Text: DOI