Feng, Yue-Hong; Hu, Haifeng; Mei, Ming Structural stability of subsonic steady states to the hydrodynamic model for semiconductors with sonic boundary. (English) Zbl 07801562 Nonlinearity 37, No. 2, Article ID 025020, 24 p. (2024). MSC: 35Q81 35Q35 82D37 76G25 76L05 76J20 78A35 78A25 35B35 35J70 35L65 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., Nonlinearity 37, No. 2, Article ID 025020, 24 p. (2024; Zbl 07801562) Full Text: DOI
Li, Siying; Mei, Ming; Zhang, Kaijun; Zhang, Guojing Subsonic steady-states for bipolar hydrodynamic model for semiconductors. (English) Zbl 07782696 J. Differ. Equations 382, 274-301 (2024). MSC: 35Q81 35Q60 35Q35 82D37 78A35 76G25 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{S. Li} et al., J. Differ. Equations 382, 274--301 (2024; Zbl 07782696) Full Text: DOI arXiv
Xu, Jianing; Mei, Ming; Nishibata, Shinya Structural stability of radial interior subsonic steady-states to \(n\)-D Euler-Poisson system of semiconductor models with sonic boundary. (English) Zbl 07784645 SIAM J. Math. Anal. 55, No. 6, 7741-7761 (2023). MSC: 35Q81 35B35 35J70 35L65 35Q35 PDFBibTeX XMLCite \textit{J. Xu} et al., SIAM J. Math. Anal. 55, No. 6, 7741--7761 (2023; Zbl 07784645) Full Text: DOI
Xu, Jianing; Mei, Ming; Li, Hailiang Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping. (English) Zbl 1526.35079 Discrete Contin. Dyn. Syst. 43, No. 12, 4403-4428 (2023). MSC: 35B40 35L45 35L60 35L65 PDFBibTeX XMLCite \textit{J. Xu} et al., Discrete Contin. Dyn. Syst. 43, No. 12, 4403--4428 (2023; Zbl 1526.35079) Full Text: DOI
Chen, Liang; Mei, Ming; Zhang, Guojing Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors. (English) Zbl 1527.35419 J. Differ. Equations 373, 359-388 (2023). MSC: 35Q81 35Q31 35Q60 76L05 76J20 76H05 76N10 78A35 82D37 35L60 35B06 35B36 35B40 35B65 35A01 35A02 47H10 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Differ. Equations 373, 359--388 (2023; Zbl 1527.35419) Full Text: DOI
Chen, Liang; Li, Dongfang; Mei, Ming; Zhang, Guojing Quasi-neutral limit to steady-state hydrodynamic model of semiconductors with degenerate boundary. (English) Zbl 1519.35319 SIAM J. Math. Anal. 55, No. 4, 2813-2837 (2023). MSC: 35Q81 35Q35 35L60 35B40 35B65 35C06 76G25 76H05 82D37 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Math. Anal. 55, No. 4, 2813--2837 (2023; Zbl 1519.35319) Full Text: DOI
Feng, Yue-Hong; Li, Xin; Mei, Ming; Wang, Shu Zero-relaxation limits of the non-isentropic Euler-Maxwell system for well/ill-prepared initial data. (English) Zbl 1518.35546 J. Nonlinear Sci. 33, No. 5, Paper No. 71, 28 p. (2023). MSC: 35Q35 76N10 76X05 35B65 35B45 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., J. Nonlinear Sci. 33, No. 5, Paper No. 71, 28 p. (2023; Zbl 1518.35546) Full Text: DOI
Feng, Yue-Hong; Mei, Ming; Zhang, Guojing Nonlinear structural stability and linear dynamic instability of transonic steady-states to hydrodynamic model for semiconductors. (English) Zbl 1509.35313 J. Differ. Equations 344, 131-171 (2023). Reviewer: Fabrizio Davì (Ancona) MSC: 35Q81 35Q35 35Q70 35R35 76N10 76J20 76H05 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., J. Differ. Equations 344, 131--171 (2023; Zbl 1509.35313) Full Text: DOI arXiv
Chen, Liang; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Transonic steady-states of Euler-Poisson equations for semiconductor models with sonic boundary. (English) Zbl 1487.35366 SIAM J. Math. Anal. 54, No. 1, 363-388 (2022). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q81 35G50 35B40 35B65 35C06 35L67 76H05 76L05 76J20 78A35 35A01 35Q35 35Q60 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Math. Anal. 54, No. 1, 363--388 (2022; Zbl 1487.35366) Full Text: DOI
Feng, Yue-Hong; Li, Xin; Mei, Ming; Wang, Shu Asymptotic decay of bipolar isentropic/non-isentropic compressible Navier-Stokes-Maxwell systems. (English) Zbl 1479.35664 J. Differ. Equations 301, 471-542 (2021). MSC: 35Q35 35Q60 76N10 76W05 76N06 76X05 78A35 35B65 35B40 PDFBibTeX XMLCite \textit{Y.-H. Feng} et al., J. Differ. Equations 301, 471--542 (2021; Zbl 1479.35664) Full Text: DOI
Wei, Mengmeng; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Smooth transonic steady states of hydrodynamic model for semiconductors. (English) Zbl 1487.35329 SIAM J. Math. Anal. 53, No. 4, 4908-4932 (2021). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35R35 76N10 35J70 PDFBibTeX XMLCite \textit{M. Wei} et al., SIAM J. Math. Anal. 53, No. 4, 4908--4932 (2021; Zbl 1487.35329) Full Text: DOI
Chen, Liang; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Radial solutions of hydrodynamic model of semiconductors with sonic boundary. (English) Zbl 1467.76072 J. Math. Anal. Appl. 501, No. 2, Article ID 125187, 24 p. (2021). MSC: 76W05 82D37 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Math. Anal. Appl. 501, No. 2, Article ID 125187, 24 p. (2021; Zbl 1467.76072) Full Text: DOI arXiv
Mei, Ming; Wu, Xiaochun; Zhang, Yongqian Stability of steady-state for 3-D hydrodynamic model of unipolar semiconductor with ohmic contact boundary in hollow ball. (English) Zbl 1456.82936 J. Differ. Equations 277, 57-113 (2021). MSC: 82D37 35M30 35M33 76N10 35B40 35Q35 PDFBibTeX XMLCite \textit{M. Mei} et al., J. Differ. Equations 277, 57--113 (2021; Zbl 1456.82936) Full Text: DOI
Chen, Liang; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Steady hydrodynamic model of semiconductors with sonic boundary and transonic doping profile. (English) Zbl 1509.35388 J. Differ. Equations 269, No. 10, 8173-8211 (2020). MSC: 35R35 35J70 35Q35 35Q81 76N10 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Differ. Equations 269, No. 10, 8173--8211 (2020; Zbl 1509.35388) Full Text: DOI
Sun, Hui; Mei, Ming; Zhang, Kaijun Large time behaviors of solutions to the unipolar hydrodynamic model of semiconductors with physical boundary effect. (English) Zbl 1433.35385 Nonlinear Anal., Real World Appl. 53, Article ID 103070, 30 p. (2020). MSC: 35Q60 35Q81 82D37 35B40 35Q31 76Y05 78A35 PDFBibTeX XMLCite \textit{H. Sun} et al., Nonlinear Anal., Real World Appl. 53, Article ID 103070, 30 p. (2020; Zbl 1433.35385) Full Text: DOI
Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella Stationary solutions for a new hybrid quantum model for semiconductors with discontinuous pressure functional and relaxation time. (English) Zbl 07254345 Math. Mech. Solids 24, No. 7, 2096-2115 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{F. Di Michele} et al., Math. Mech. Solids 24, No. 7, 2096--2115 (2019; Zbl 07254345) Full Text: DOI
Li, Haitong; Li, Jingyu; Mei, Ming; Zhang, Kaijun Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping. (English) Zbl 1414.35031 J. Math. Anal. Appl. 473, No. 2, 1081-1121 (2019). MSC: 35B40 35Q60 82D37 PDFBibTeX XMLCite \textit{H. Li} et al., J. Math. Anal. Appl. 473, No. 2, 1081--1121 (2019; Zbl 1414.35031) Full Text: DOI
Li, Jingyu; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Steady hydrodynamic model of semiconductors with sonic boundary. II: Supersonic doping profile. (English) Zbl 1380.35168 SIAM J. Math. Anal. 50, No. 1, 718-734 (2018). MSC: 35R35 35Q35 35J70 76W05 82D37 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Math. Anal. 50, No. 1, 718--734 (2018; Zbl 1380.35168) Full Text: DOI arXiv
Li, Jingyu; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Steady hydrodynamic model of semiconductors with sonic boundary. I: Subsonic doping profile. (English) Zbl 1379.35350 SIAM J. Math. Anal. 49, No. 6, 4767-4811 (2017). MSC: 35R35 35Q35 35J70 76W05 82D37 PDFBibTeX XMLCite \textit{J. Li} et al., SIAM J. Math. Anal. 49, No. 6, 4767--4811 (2017; Zbl 1379.35350) Full Text: DOI
Di Michele, Federica; Mei, Ming; Rubino, Bruno; Sampalmieri, Rosella Thermal equilibrium solution to new model of bipolar hybrid quantum hydrodynamics. (English) Zbl 1368.35262 J. Differ. Equations 263, No. 3, 1843-1873 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q82 76Y05 82D37 35D30 35B65 PDFBibTeX XMLCite \textit{F. Di Michele} et al., J. Differ. Equations 263, No. 3, 1843--1873 (2017; Zbl 1368.35262) Full Text: DOI
Hu, Haifeng; Mei, Ming; Zhang, Kaijun Relaxation limit in bipolar semiconductor hydrodynamic model with non-constant doping profile. (English) Zbl 1358.35193 J. Math. Anal. Appl. 448, No. 2, 1175-1203 (2017). MSC: 35Q82 35Q35 82D37 35B45 PDFBibTeX XMLCite \textit{H. Hu} et al., J. Math. Anal. Appl. 448, No. 2, 1175--1203 (2017; Zbl 1358.35193) Full Text: DOI
Huang, Feimin; Mei, Ming; Wang, Yong; Yu, Huimin Asymptotic convergence to planar stationary waves for multi-dimensional unipolar hydrodynamic model of semiconductors. (English) Zbl 1228.35177 J. Differ. Equations 251, No. 4-5, 1305-1331 (2011). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q35 76R50 35L50 35L60 35L65 PDFBibTeX XMLCite \textit{F. Huang} et al., J. Differ. Equations 251, No. 4--5, 1305--1331 (2011; Zbl 1228.35177) Full Text: DOI
Liu, Liping; Mei, Ming A better asymptotic profile of Rosenau-Burgers equation. (English) Zbl 1020.35097 Appl. Math. Comput. 131, No. 1, 147-170 (2002). MSC: 35Q53 35B40 35K55 76B15 PDFBibTeX XMLCite \textit{L. Liu} and \textit{M. Mei}, Appl. Math. Comput. 131, No. 1, 147--170 (2002; Zbl 1020.35097) Full Text: DOI