Duan, Renjun Large-time behavior for fluid and kinetic plasmas with collisions. (English) Zbl 1341.35095 Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 307-321 (2016). MSC: 35Q20 76P05 35B35 35B40 35Q61 35Q83 76X05 PDFBibTeX XMLCite \textit{R. Duan}, Bull. Braz. Math. Soc. (N.S.) 47, No. 1, 307--321 (2016; Zbl 1341.35095) Full Text: DOI
Duan, Renjun Global smooth dynamics of a fully ionized plasma with long-range collisions. (English) Zbl 1305.82057 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 4, 751-778 (2014). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82D10 35Q84 35Q83 PDFBibTeX XMLCite \textit{R. Duan}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 4, 751--778 (2014; Zbl 1305.82057) Full Text: DOI arXiv
Duan, Renjun Green’s function and large time behavior of the Navier-Stokes-Maxwell system. (English) Zbl 1241.35145 Anal. Appl., Singap. 10, No. 2, 133-197 (2012). MSC: 35Q30 35Q61 35M30 35B35 PDFBibTeX XMLCite \textit{R. Duan}, Anal. Appl., Singap. 10, No. 2, 133--197 (2012; Zbl 1241.35145) Full Text: DOI arXiv
Duan, Renjun Dissipative property of the Vlasov-Maxwell-Boltzmann system with a uniform ionic background. (English) Zbl 1233.35152 SIAM J. Math. Anal. 43, No. 6, 2732-2757 (2011). MSC: 35Q20 35Q83 76X05 76P05 35B35 35B40 PDFBibTeX XMLCite \textit{R. Duan}, SIAM J. Math. Anal. 43, No. 6, 2732--2757 (2011; Zbl 1233.35152) Full Text: DOI arXiv
Duan, Renjun Hypocoercivity of linear degenerately dissipative kinetic equations. (English) Zbl 1237.35125 Nonlinearity 24, No. 8, 2165-2189 (2011). Reviewer: Guanggan Chen (Chengdu) MSC: 35Q20 35Q84 35B40 PDFBibTeX XMLCite \textit{R. Duan}, Nonlinearity 24, No. 8, 2165--2189 (2011; Zbl 1237.35125) Full Text: DOI arXiv
Duan, Renjun Global smooth flows for the compressible Euler-Maxwell system: the relaxation case. (English) Zbl 1292.76080 J. Hyperbolic Differ. Equ. 8, No. 2, 375-413 (2011). MSC: 76X05 76N10 35Q35 35Q60 PDFBibTeX XMLCite \textit{R. Duan}, J. Hyperbolic Differ. Equ. 8, No. 2, 375--413 (2011; Zbl 1292.76080) Full Text: DOI arXiv
Duan, Renjun Stability of the Boltzmann equation with potential forces on torus. (English) Zbl 1173.35638 Physica D 238, No. 17, 1808-1820 (2009). MSC: 35Q35 76P05 82B40 35B35 PDFBibTeX XMLCite \textit{R. Duan}, Physica D 238, No. 17, 1808--1820 (2009; Zbl 1173.35638) Full Text: DOI
Duan, Renjun On the Cauchy problem for the Boltzmann equation in the whole space: Global existence and uniform stability in \(L_{\xi}^{2}(H_{x}^{N})\). (English) Zbl 1150.82019 J. Differ. Equations 244, No. 12, 3204-3234 (2008). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 82D05 76P05 PDFBibTeX XMLCite \textit{R. Duan}, J. Differ. Equations 244, No. 12, 3204--3234 (2008; Zbl 1150.82019) Full Text: DOI
Duan, Renjun The Boltzmann equation near equilibrium states in \(\mathbb R^N\). (English) Zbl 1157.76042 Methods Appl. Anal. 14, No. 3, 227-249 (2007). MSC: 76P05 76-02 PDFBibTeX XMLCite \textit{R. Duan}, Methods Appl. Anal. 14, No. 3, 227--249 (2007; Zbl 1157.76042) Full Text: DOI