Duan, Renjun; Liu, Shuangqian On smooth solutions to the thermostated Boltzmann equation with deformation. (English) Zbl 07730350 Commun. Math. Anal. Appl. 1, No. 1, 152-212 (2022). MSC: 35Q20 35B40 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, Commun. Math. Anal. Appl. 1, No. 1, 152--212 (2022; Zbl 07730350) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhang, Zhu Heat transfer problem for the Boltzmann equation in a channel with diffusive boundary condition. (English) Zbl 1503.35156 Chin. Ann. Math., Ser. B 43, No. 6, 1071-1100 (2022). MSC: 35Q35 35Q20 35Q79 76N06 76P05 PDFBibTeX XMLCite \textit{R. Duan} et al., Chin. Ann. Math., Ser. B 43, No. 6, 1071--1100 (2022; Zbl 1503.35156) Full Text: DOI arXiv
Duan, Renjun; Li, Zongguang; Liu, Shuangqian Global mild solution with polynomial tail for the Boltzmann equation in the whole space. arXiv:2212.04676 Preprint, arXiv:2212.04676 [math.AP] (2022). BibTeX Cite \textit{R. Duan} et al., ``Global mild solution with polynomial tail for the Boltzmann equation in the whole space'', Preprint, arXiv:2212.04676 [math.AP] (2022) Full Text: arXiv OA License
Duan, Renjun; Liu, Shuangqian Uniform shear flow via the Boltzmann equation with hard potentials. arXiv:2210.12340 Preprint, arXiv:2210.12340 [math.AP] (2022). BibTeX Cite \textit{R. Duan} and \textit{S. Liu}, ``Uniform shear flow via the Boltzmann equation with hard potentials'', Preprint, arXiv:2210.12340 [math.AP] (2022) Full Text: arXiv OA License
Duan, Renjun; Liu, Shuangqian The Boltzmann equation for uniform shear flow. (English) Zbl 1477.76075 Arch. Ration. Mech. Anal. 242, No. 3, 1947-2002 (2021). MSC: 76P05 35Q20 35Q35 82C40 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, Arch. Ration. Mech. Anal. 242, No. 3, 1947--2002 (2021; Zbl 1477.76075) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian; Yang, Tong Global classical solutions for the Vlasov-Nordström-Fokker-Planck system. (English) Zbl 1478.35206 SIAM J. Math. Anal. 53, No. 5, 6164-6190 (2021). MSC: 35Q84 35Q20 35Q83 35A09 35A01 PDFBibTeX XMLCite \textit{R. Duan} et al., SIAM J. Math. Anal. 53, No. 5, 6164--6190 (2021; Zbl 1478.35206) Full Text: DOI
Duan, Renjun; Liu, Shuangqian Compressible Navier-Stokes approximation for the Boltzmann equation in bounded domains. (English) Zbl 1479.35661 Trans. Am. Math. Soc. 374, No. 11, 7867-7924 (2021). MSC: 35Q35 35Q31 35Q20 76P05 76N06 82C40 35B65 35A01 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, Trans. Am. Math. Soc. 374, No. 11, 7867--7924 (2021; Zbl 1479.35661) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian; Sakamoto, Shota; Strain, Robert M. Global mild solutions of the Landau and non-cutoff Boltzmann equations. (English) Zbl 1476.35161 Commun. Pure Appl. Math. 74, No. 5, 932-1020 (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q20 35Q82 35B65 35A01 35A02 82C22 82C40 PDFBibTeX XMLCite \textit{R. Duan} et al., Commun. Pure Appl. Math. 74, No. 5, 932--1020 (2021; Zbl 1476.35161) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian; Yang, Tong The Boltzmann equation for plane Couette flow. arXiv:2107.02458 Preprint, arXiv:2107.02458 [math.AP] (2021). BibTeX Cite \textit{R. Duan} et al., ``The Boltzmann equation for plane Couette flow'', Preprint, arXiv:2107.02458 [math.AP] (2021) Full Text: arXiv OA License
Duan, Renjun; Liu, Shuangqian; Sakamoto, Shota; Strain, Robert M. Global solutions to the Boltzmann equation without angular cutoff and the Landau equation with Coulomb potential. (English) Zbl 1455.35166 RIMS Kôkyûroku Bessatsu B82, 29-46 (2020). MSC: 35Q20 82D10 82C40 35A01 PDFBibTeX XMLCite \textit{R. Duan} et al., RIMS Kôkyûroku Bessatsu B82, 29--46 (2020; Zbl 1455.35166) Full Text: Link
Duan, Renjun; Liu, Shuangqian; Zhang, Zhu Ion-acoustic shock in a collisional plasma. (English) Zbl 1437.35571 J. Differ. Equations 269, No. 4, 3721-3768 (2020). MSC: 35Q35 35C07 35B35 35B40 76L05 76X05 76Q05 PDFBibTeX XMLCite \textit{R. Duan} et al., J. Differ. Equations 269, No. 4, 3721--3768 (2020; Zbl 1437.35571) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian The Vlasov-Poisson-Boltzmann system for a disparate mass binary mixture. (English) Zbl 1393.35245 J. Stat. Phys. 169, No. 3, 614-684 (2017). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q83 35Q20 76P05 35B35 35B40 82D10 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, J. Stat. Phys. 169, No. 3, 614--684 (2017; Zbl 1393.35245) 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, Shuangqian; Xu, Jiang Global well-posedness in spatially critical Besov space for the Boltzmann equation. (English) Zbl 1334.35199 Arch. Ration. Mech. Anal. 220, No. 2, 711-745 (2016). MSC: 35Q20 42B25 35B65 35D35 PDFBibTeX XMLCite \textit{R. Duan} et al., Arch. Ration. Mech. Anal. 220, No. 2, 711--745 (2016; Zbl 1334.35199) Full Text: DOI arXiv Link
Duan, Renjun; Liu, Shuangqian Time-periodic solutions of the Vlasov-Poisson-Fokker-Planck system. (English) Zbl 1340.35348 Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 4, 876-886 (2015). MSC: 35Q84 82D10 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 4, 876--886 (2015; Zbl 1340.35348) Full Text: DOI
Duan, Renjun; Liu, Shuangqian Stability of the rarefaction wave of the Vlasov-Poisson-Boltzmann system. (English) Zbl 1326.35221 SIAM J. Math. Anal. 47, No. 5, 3585-3647 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q20 35Q83 35B35 35B40 82D10 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, SIAM J. Math. Anal. 47, No. 5, 3585--3647 (2015; Zbl 1326.35221) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian Stability of rarefaction waves of the Navier-Stokes-Poisson system. (English) Zbl 1309.35074 J. Differ. Equations 258, No. 7, 2495-2530 (2015). MSC: 35Q35 35B45 35B35 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, J. Differ. Equations 258, No. 7, 2495--2530 (2015; Zbl 1309.35074) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian Cauchy problem on the Vlasov-Fokker-Planck equation coupled with the compressible Euler equations through the friction force. (English) Zbl 1292.35295 Kinet. Relat. Models 6, No. 4, 687-700 (2013). MSC: 35Q84 35Q31 35B35 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, Kinet. Relat. Models 6, No. 4, 687--700 (2013; Zbl 1292.35295) Full Text: DOI
Duan, Renjun; Liu, Shuangqian The Vlasov-Poisson-Boltzmann system without angular cutoff. (English) Zbl 1285.35115 Commun. Math. Phys. 324, No. 1, 1-45 (2013). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 35Q60 35Q83 35Q20 82D10 PDFBibTeX XMLCite \textit{R. Duan} and \textit{S. Liu}, Commun. Math. Phys. 324, No. 1, 1--45 (2013; Zbl 1285.35115) Full Text: DOI arXiv
Duan, Renjun; Liu, Shuangqian; Yang, Tong; Zhao, Huijiang Stability of the nonrelativistic Vlasov-Maxwell-Boltzmann system for angular non-cutoff potentials. (English) Zbl 1288.35476 Kinet. Relat. Models 6, No. 1, 159-204 (2013). Reviewer: Vladimir Čadež (Beograd) MSC: 35Q83 35Q61 35Q20 35B35 82D10 76P05 PDFBibTeX XMLCite \textit{R. Duan} et al., Kinet. Relat. Models 6, No. 1, 159--204 (2013; Zbl 1288.35476) Full Text: DOI