Chen, Zhengzheng; Chen, Changguo Global existence and large-time behavior of solutions to the 1D compressible Navier-Stokes equations with density-dependent viscosity in the half space. (English) Zbl 07807891 Commun. Pure Appl. Anal. 23, No. 1, 88-111 (2024). MSC: 35Q30 76N10 76N15 76N20 76M45 35D35 35L65 35B40 35B20 35A01 35A02 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{C. Chen}, Commun. Pure Appl. Anal. 23, No. 1, 88--111 (2024; Zbl 07807891) Full Text: DOI
Wu, Qiwei; Zhu, Peicheng Stability of the stationary solution to an outflow problem for the bipolar quantum Navier-Stokes-Poisson equations. (English) Zbl 1520.35125 Commun. Pure Appl. Anal. 22, No. 8, 2400-2429 (2023). MSC: 35Q35 35B40 76W05 76Y05 76A05 35B20 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{P. Zhu}, Commun. Pure Appl. Anal. 22, No. 8, 2400--2429 (2023; Zbl 1520.35125) Full Text: DOI
Hao, Fangfang; Li, Hai-Liang; Shang, Luyao; Zhao, Shuang Recent progress on outflow/inflow problem for viscous multi-phase flow. (English) Zbl 07729059 Commun. Appl. Math. Comput. 5, No. 3, 987-1014 (2023). MSC: 76T06 35Q30 35Q35 76E30 76N10 PDFBibTeX XMLCite \textit{F. Hao} et al., Commun. Appl. Math. Comput. 5, No. 3, 987--1014 (2023; Zbl 07729059) Full Text: DOI
Li, Yeping; Xu, Rui; Chen, Zhengzheng Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space. (English) Zbl 1522.76071 Z. Angew. Math. Phys. 74, No. 4, Paper No. 167, 27 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 76N10 76N06 76L05 35Q30 PDFBibTeX XMLCite \textit{Y. Li} et al., Z. Angew. Math. Phys. 74, No. 4, Paper No. 167, 27 p. (2023; Zbl 1522.76071) Full Text: DOI
Wu, Qiwei; Hou, Xiaofeng; Zhu, Peicheng Asymptotic stability of a nonlinear wave for an outflow problem of the bipolar Navier-Stokes-Poisson system under large initial perturbation. (English) Zbl 1521.35143 Z. Angew. Math. Phys. 74, No. 4, Paper No. 146, 35 p. (2023). MSC: 35Q35 35B40 76A05 76N06 76N30 76P05 76W05 82D37 35B20 PDFBibTeX XMLCite \textit{Q. Wu} et al., Z. Angew. Math. Phys. 74, No. 4, Paper No. 146, 35 p. (2023; Zbl 1521.35143) Full Text: DOI
Duan, Xianglong; Hao, Fang-Fang; Li, Hai-Liang; Zhao, Shuang Nonlinear stability of planar stationary solutions to the viscous two-phase flow model in \(\mathbb{R}_+^3\). (English) Zbl 1518.35529 J. Differ. Equations 367, 749-782 (2023). MSC: 35Q30 35Q83 76N10 76T06 76G25 76H05 76J20 76E30 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{X. Duan} et al., J. Differ. Equations 367, 749--782 (2023; Zbl 1518.35529) Full Text: DOI
Meng, Nianxia Asymptotic stability of the stationary solution to an outflow problem for the compressible Navier-Stokes equations for a reacting mixture. (English) Zbl 1512.35480 Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4424-4441 (2023). MSC: 35Q35 35B40 76W05 76V05 76N06 35B35 35B20 PDFBibTeX XMLCite \textit{N. Meng}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 8, 4424--4441 (2023; Zbl 1512.35480) Full Text: DOI
Wang, Teng Planar stationary solution to outflow problem for compressible heat conducting gas in \(\mathbb{R}^3_+\): stability and convergence rate. (English) Zbl 1512.35451 SIAM J. Math. Anal. 55, No. 1, 210-274 (2023). MSC: 35Q30 35Q35 76N06 76N15 76J20 76H05 76G25 76E19 35B35 35B40 35B45 41A25 PDFBibTeX XMLCite \textit{T. Wang}, SIAM J. Math. Anal. 55, No. 1, 210--274 (2023; Zbl 1512.35451) Full Text: DOI
Li, Yeping; Chen, Zhengzheng Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space. (English) Zbl 1501.76066 J. Math. Fluid Mech. 24, No. 4, Paper No. 103, 24 p. (2022). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76N10 76N06 35Q30 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Z. Chen}, J. Math. Fluid Mech. 24, No. 4, Paper No. 103, 24 p. (2022; Zbl 1501.76066) Full Text: DOI
Li, Yeping; Tang, Jing; Yu, Shengqi Asymptotic stability of rarefaction wave for the compressible Navier-Stokes-Korteweg equations in the half space. (English) Zbl 1495.76091 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 3, 756-779 (2022). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 76N06 76N10 76L05 35Q30 PDFBibTeX XMLCite \textit{Y. Li} et al., Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 3, 756--779 (2022; Zbl 1495.76091) Full Text: DOI
Li, Hailiang; Tang, Houzhi; Wang, Haitao Pointwise estimates of the solution to one dimensional compressible Navier-Stokes equations in half space. (English) Zbl 1490.76177 Discrete Contin. Dyn. Syst. 42, No. 6, 2603-2636 (2022). MSC: 76N10 76N30 35B40 35M13 PDFBibTeX XMLCite \textit{H. Li} et al., Discrete Contin. Dyn. Syst. 42, No. 6, 2603--2636 (2022; Zbl 1490.76177) Full Text: DOI
Wang, Teng On the long-time behavior of solution for compressible Navier-Stokes system with outflow boundary condition. (English) Zbl 1489.35191 J. Differ. Equations 323, 312-358 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76N06 35L67 35B35 PDFBibTeX XMLCite \textit{T. Wang}, J. Differ. Equations 323, 312--358 (2022; Zbl 1489.35191) Full Text: DOI
Li, Hai-Liang; Zhao, Shuang; Zuo, Han-Wen Existence and nonlinear stability of steady-states to outflow problem for the full two-phase flow. (English) Zbl 1502.35117 J. Differ. Equations 309, 350-385 (2022). MSC: 35Q35 35Q83 76J20 76G25 76H05 76N06 76T10 35B35 35A01 35A02 82C40 PDFBibTeX XMLCite \textit{H.-L. Li} et al., J. Differ. Equations 309, 350--385 (2022; Zbl 1502.35117) Full Text: DOI arXiv
Chen, Zhengzheng; Li, Yeping Asymptotic behavior of solutions to an impermeable wall problem of the compressible fluid models of Korteweg-type with density-dependent viscosity and capillarity. (English) Zbl 1462.35284 SIAM J. Math. Anal. 53, No. 2, 1434-1473 (2021). MSC: 35Q35 35B40 35L65 76P05 76N06 76Y05 35B35 35D35 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{Y. Li}, SIAM J. Math. Anal. 53, No. 2, 1434--1473 (2021; Zbl 1462.35284) Full Text: DOI
Li, Yeping; Zhu, Peicheng Asymptotic stability of the stationary solution to an out-flow problem for the Navier-Stokes-Korteweg equations of compressible fluids. (English) Zbl 1455.35200 Nonlinear Anal., Real World Appl. 57, Article ID 103193, 23 p. (2021). MSC: 35Q35 35Q53 76N06 35B40 35B35 35A01 PDFBibTeX XMLCite \textit{Y. Li} and \textit{P. Zhu}, Nonlinear Anal., Real World Appl. 57, Article ID 103193, 23 p. (2021; Zbl 1455.35200) Full Text: DOI
Yang, Dongcheng; Yu, Hongjun Stability of rarefaction waves for the bipolar Vlasov-Poisson-Boltzmann system. (English) Zbl 1421.35368 J. Math. Anal. Appl. 479, No. 2, 1781-1840 (2019). MSC: 35Q83 35Q20 35Q60 76P05 76N10 35A01 PDFBibTeX XMLCite \textit{D. Yang} and \textit{H. Yu}, J. Math. Anal. Appl. 479, No. 2, 1781--1840 (2019; Zbl 1421.35368) Full Text: DOI
Bian, Dong-Fen; Fan, Li-Li; He, Lin; Zhao, Hui-Jiang Viscous shock wave to an inflow problem for compressible viscous gas with large density oscillations. (English) Zbl 1417.35112 Acta Math. Appl. Sin., Engl. Ser. 35, No. 1, 129-157 (2019). MSC: 35Q35 76N10 76N15 35B40 76L05 PDFBibTeX XMLCite \textit{D.-F. Bian} et al., Acta Math. Appl. Sin., Engl. Ser. 35, No. 1, 129--157 (2019; Zbl 1417.35112) Full Text: DOI arXiv
Chen, Yazhou; Hong, Hakho; Shi, Xiaoding Convergence rate of stationary solutions to outflow problem for full Navier-Stokes equations. (English) Zbl 1416.35180 Appl. Anal. 98, No. 7, 1267-1288 (2019). MSC: 35Q30 35B35 35L65 35B40 76N15 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Anal. 98, No. 7, 1267--1288 (2019; Zbl 1416.35180) Full Text: DOI
Hou, Meichen Boundary layer solutions for non-viscous and heat-conductive gas in half space. (English) Zbl 1414.35017 J. Math. Anal. Appl. 473, No. 2, 636-657 (2019). MSC: 35B25 35Q35 76N20 PDFBibTeX XMLCite \textit{M. Hou}, J. Math. Anal. Appl. 473, No. 2, 636--657 (2019; Zbl 1414.35017) Full Text: DOI
Yin, Haiyan; Zhu, Changjiang Asymptotic stability of superposition of stationary solutions and rarefaction waves for 1D Navier-Stokes/Allen-Cahn system. (English) Zbl 1411.35034 J. Differ. Equations 266, No. 11, 7291-7326 (2019). MSC: 35B35 35M10 35M33 76D33 35B40 PDFBibTeX XMLCite \textit{H. Yin} and \textit{C. Zhu}, J. Differ. Equations 266, No. 11, 7291--7326 (2019; Zbl 1411.35034) Full Text: DOI
Li, Yeping; Zhu, Peicheng Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion. (English) Zbl 1375.35384 Math. Models Methods Appl. Sci. 27, No. 11, 2111-2145 (2017). MSC: 35Q35 35B35 35B40 76N15 76P05 35Q60 76X05 PDFBibTeX XMLCite \textit{Y. Li} and \textit{P. Zhu}, Math. Models Methods Appl. Sci. 27, No. 11, 2111--2145 (2017; Zbl 1375.35384) Full Text: DOI
Hong, Hakho; Wang, Teng Large-time behavior of solutions to the inflow problem of full compressible Navier-Stokes equations with large perturbation. (English) Zbl 1377.35023 Nonlinearity 30, No. 8, 3010-3039 (2017). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35B40 35Q30 35L65 35L50 PDFBibTeX XMLCite \textit{H. Hong} and \textit{T. Wang}, Nonlinearity 30, No. 8, 3010--3039 (2017; Zbl 1377.35023) Full Text: DOI
Hong, Hakho; Wang, Teng Stability of stationary solutions to the inflow problem for full compressible Navier-Stokes equations with a large initial perturbation. (English) Zbl 1371.35196 SIAM J. Math. Anal. 49, No. 3, 2138-2166 (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76N10 35B35 35L65 76G25 PDFBibTeX XMLCite \textit{H. Hong} and \textit{T. Wang}, SIAM J. Math. Anal. 49, No. 3, 2138--2166 (2017; Zbl 1371.35196) Full Text: DOI
Wang, Lei; Zhang, Guojing; Zhang, Kaijun Existence and stability of stationary solution to compressible Navier-Stokes-Poisson equations in half line. (English) Zbl 1352.35125 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 145, 97-117 (2016). MSC: 35Q35 35B35 35B40 76N15 76J20 PDFBibTeX XMLCite \textit{L. Wang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 145, 97--117 (2016; Zbl 1352.35125) Full Text: DOI
Min, Li-hua; Qin, Xiao-hong Stability of rarefaction wave for compressible Navier-Stokes equations on the half line. (English) Zbl 1347.35038 Acta Math. Appl. Sin., Engl. Ser. 32, No. 1, 175-186 (2016). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35B35 35L60 76N10 35L65 35Q30 76D05 PDFBibTeX XMLCite \textit{L.-h. Min} and \textit{X.-h. Qin}, Acta Math. Appl. Sin., Engl. Ser. 32, No. 1, 175--186 (2016; Zbl 1347.35038) Full Text: DOI
Zheng, Tingting Stability of a strong viscous contact discontinuity in a free boundary problem for compressible Navier-Stokes equations. (English) Zbl 1327.35305 Nonlinear Anal., Real World Appl. 25, 238-257 (2015). MSC: 35Q30 PDFBibTeX XMLCite \textit{T. Zheng}, Nonlinear Anal., Real World Appl. 25, 238--257 (2015; Zbl 1327.35305) Full Text: DOI arXiv
Fan, Lili; Liu, Hongxia; Wang, Tao; Zhao, Huijiang Inflow problem for the one-dimensional compressible Navier-Stokes equations under large initial perturbation. (English) Zbl 1301.35106 J. Differ. Equations 257, No. 10, 3521-3553 (2014). MSC: 35Q35 76J20 35B35 76N10 PDFBibTeX XMLCite \textit{L. Fan} et al., J. Differ. Equations 257, No. 10, 3521--3553 (2014; Zbl 1301.35106) Full Text: DOI arXiv
Zheng, TingTing; Zhao, JunNing On the stability of contact discontinuity for Cauchy problem of compress Navier-Stokes equations with general initial data. (English) Zbl 1261.35113 Sci. China, Math. 55, No. 10, 2005-2026 (2012). MSC: 35Q30 35B40 35B35 PDFBibTeX XMLCite \textit{T. Zheng} and \textit{J. Zhao}, Sci. China, Math. 55, No. 10, 2005--2026 (2012; Zbl 1261.35113) Full Text: DOI
Zheng, Tingting; Zhang, Jianwen; Zhao, Junning Asymptotic stability of viscous contact discontinuity to an inflow problem for compressible Navier-Stokes equations. (English) Zbl 1228.35170 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6617-6639 (2011). MSC: 35Q30 35B40 35B45 76N10 76N17 PDFBibTeX XMLCite \textit{T. Zheng} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6617--6639 (2011; Zbl 1228.35170) Full Text: DOI
Yang, Xiongfeng The stability of rarefaction wave for Navier-Stokes equations in the half-line. (English) Zbl 1225.35167 Math. Methods Appl. Sci. 34, No. 11, 1366-1380 (2011). MSC: 35Q30 35M13 76N10 76D05 35B40 35B35 PDFBibTeX XMLCite \textit{X. Yang}, Math. Methods Appl. Sci. 34, No. 11, 1366--1380 (2011; Zbl 1225.35167) Full Text: DOI
Kawashima, Shuichi; Zhu, Peicheng Asymptotic stability of rarefaction wave for the Navier-Stokes equations for a compressible fluid in the half-space. (English) Zbl 1273.76353 Arch. Ration. Mech. Anal. 194, No. 1, 105-132 (2009). MSC: 76N10 76L05 35Q30 PDFBibTeX XMLCite \textit{S. Kawashima} and \textit{P. Zhu}, Arch. Ration. Mech. Anal. 194, No. 1, 105--132 (2009; Zbl 1273.76353) Full Text: DOI
Huang, Feimin; Qin, Xiaohong Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation. (English) Zbl 1167.35032 J. Differ. Equations 246, No. 10, 4077-4096 (2009). MSC: 35Q30 35B40 35B35 76N20 76E99 PDFBibTeX XMLCite \textit{F. Huang} and \textit{X. Qin}, J. Differ. Equations 246, No. 10, 4077--4096 (2009; Zbl 1167.35032) Full Text: DOI
Kawashima, Shuichi; Nishibata, Shinya; Zhu, Peicheng Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space. (English) Zbl 1038.35057 Commun. Math. Phys. 240, No. 3, 483-500 (2003). MSC: 35Q30 76N10 PDFBibTeX XMLCite \textit{S. Kawashima} et al., Commun. Math. Phys. 240, No. 3, 483--500 (2003; Zbl 1038.35057) Full Text: DOI