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; 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 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 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
Guo, Yan; Liu, Shuangqian Incompressible hydrodynamic approximation with viscous heating to the Boltzmann equation. (English) Zbl 1377.35212 Math. Models Methods Appl. Sci. 27, No. 12, 2261-2296 (2017). MSC: 35Q20 35Q79 35C20 76P05 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{S. Liu}, Math. Models Methods Appl. Sci. 27, No. 12, 2261--2296 (2017; Zbl 1377.35212) Full Text: DOI arXiv
Liu, Shuangqian; Yang, Xiongfeng The initial boundary value problem for the Boltzmann equation with soft potential. (English) Zbl 1368.35201 Arch. Ration. Mech. Anal. 223, No. 1, 463-541 (2017). Reviewer: Marin I. Marin (Braşov) MSC: 35Q20 82C40 76P05 35B45 PDFBibTeX XMLCite \textit{S. Liu} and \textit{X. Yang}, Arch. Ration. Mech. Anal. 223, No. 1, 463--541 (2017; Zbl 1368.35201) Full Text: DOI arXiv
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
Liu, Shuangqian; Yang, Tong; Zhao, Huijiang Compressible Navier-Stokes approximation to the Boltzmann equation. (English) Zbl 1441.76105 J. Differ. Equations 256, No. 11, 3770-3816 (2014). MSC: 76N10 76P05 35Q30 35Q20 PDFBibTeX XMLCite \textit{S. Liu} et al., J. Differ. Equations 256, No. 11, 3770--3816 (2014; Zbl 1441.76105) Full Text: DOI
Liu, Shuangqian; Zhao, Huijiang Diffusive expansion for solutions of the Boltzmann equation in the whole space. (English) Zbl 1241.35142 J. Differ. Equations 250, No. 2, 623-674 (2011). Reviewer: Mariano Rodríguez Ricard (La Habana) MSC: 35Q20 35C20 35K45 76P05 PDFBibTeX XMLCite \textit{S. Liu} and \textit{H. Zhao}, J. Differ. Equations 250, No. 2, 623--674 (2011; Zbl 1241.35142) Full Text: DOI