Sun, Hui; Mei, Ming; Zhang, Kaijun Sub-exponential convergence to steady-states for 1-D Euler-Poisson equations with time-dependent damping. (English) Zbl 07474606 Commun. Math. Sci. 20, No. 2, 447-478 (2022). MSC: 35Q81 35B40 35L50 35L60 35L65 PDF BibTeX XML Cite \textit{H. Sun} et al., Commun. Math. Sci. 20, No. 2, 447--478 (2022; Zbl 07474606) Full Text: DOI OpenURL
Chen, Liang; Mei, Ming; Zhang, Guojing; Zhang, Kaijun Transonic steady-states of Euler-Poisson equations for semiconductor models with sonic boundary. (English) Zbl 07465239 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 PDF BibTeX XML Cite \textit{L. Chen} et al., SIAM J. Math. Anal. 54, No. 1, 363--388 (2022; Zbl 07465239) Full Text: DOI OpenURL
Luan, Liping; Mei, Ming; Rubino, Bruno; Zhu, Peicheng Large-time behavior of solutions to Cauchy problem for bipolar Euler-Poisson system with time-dependent damping in critical case. (English) Zbl 1479.35110 Commun. Math. Sci. 19, No. 5, 1207-1231 (2021). MSC: 35B40 35L45 35L60 35L67 PDF BibTeX XML Cite \textit{L. Luan} et al., Commun. Math. Sci. 19, No. 5, 1207--1231 (2021; Zbl 1479.35110) Full Text: DOI OpenURL
Hu, Jing; Li, Yeping; Liao, Jie The stationary solution of a one-dimensional bipolar quantum hydrodynamic model. (English) Zbl 1450.35216 J. Math. Anal. Appl. 493, No. 1, Article ID 124537, 15 p. (2021). MSC: 35Q35 35Q81 76Y05 82D37 35A01 35A02 PDF BibTeX XML Cite \textit{J. Hu} et al., J. Math. Anal. Appl. 493, No. 1, Article ID 124537, 15 p. (2021; Zbl 1450.35216) Full Text: DOI OpenURL
Li, Yan; Cheng, Yanqiu; Yu, Huimin Existence and large time behavior of entropy solutions to one-dimensional unipolar hydrodynamic model for semiconductor devices with variable coefficient damping. (English) Zbl 1478.35204 Adv. Math. Phys. 2020, Article ID 8881435, 7 p. (2020). MSC: 35Q82 82D37 35Q31 76X05 35Q60 78A30 35A01 76A05 PDF BibTeX XML Cite \textit{Y. Li} et al., Adv. Math. Phys. 2020, Article ID 8881435, 7 p. (2020; Zbl 1478.35204) Full Text: DOI OpenURL
Linn, Tobias; Bittner, Kai; Brachtendorf, Hans Georg; Jungemann, Christoph Simulation of THz oscillations in semiconductor devices based on balance equations. (English) Zbl 1450.65096 J. Sci. Comput. 85, No. 1, Paper No. 6, 14 p. (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 76M12 78M12 76X05 82D37 35Q81 35Q35 PDF BibTeX XML Cite \textit{T. Linn} et al., J. Sci. Comput. 85, No. 1, Paper No. 6, 14 p. (2020; Zbl 1450.65096) Full Text: DOI OpenURL
Mei, Ming; Wang, Yong Stability of stationary waves for full Euler-Poisson system in multi-dimensional space. (English) Zbl 1264.35035 Commun. Pure Appl. Anal. 11, No. 5, 1775-1807 (2012). MSC: 35B35 35B40 35L50 35L60 35L65 76R50 PDF BibTeX XML Cite \textit{M. Mei} and \textit{Y. Wang}, Commun. Pure Appl. Anal. 11, No. 5, 1775--1807 (2012; Zbl 1264.35035) Full Text: DOI OpenURL
Muscato, O.; Di Stefano, V.; Milazzo, C. Extended hydrodynamic model for the coupled electron-phonon system in silicon semiconductors. (English) Zbl 1183.82029 Manganaro, Natale (ed.) et al., Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June – 6 July 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-234-3/hbk). 453-458 (2008). MSC: 82B40 76P05 82D37 82B35 35Q20 PDF BibTeX XML Cite \textit{O. Muscato} et al., in: Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June -- 6 July 2007. Hackensack, NJ: World Scientific. 453--458 (2008; Zbl 1183.82029) Full Text: DOI OpenURL
Peng, Yue-Jun; Wang, Ya-Guang Boundary layers and quasi-neutral limit in steady state Euler-Poisson equations for potential flows. (English) Zbl 1073.35183 Nonlinearity 17, No. 3, 835-849 (2004). MSC: 35Q05 76D10 35B25 35C20 82D37 35J25 PDF BibTeX XML Cite \textit{Y.-J. Peng} and \textit{Y.-G. Wang}, Nonlinearity 17, No. 3, 835--849 (2004; Zbl 1073.35183) Full Text: DOI OpenURL
Yang, Geng; Wang, Shaodi; Wang, Ruchuan An efficient preconditioning technique for numerical simulation of hydrodynamic model semiconductor devices. (English) Zbl 1023.82009 Int. J. Numer. Model. 16, No. 4, 387-400 (2003). MSC: 82D37 82B80 65M60 PDF BibTeX XML Cite \textit{G. Yang} et al., Int. J. Numer. Model. 16, No. 4, 387--400 (2003; Zbl 1023.82009) Full Text: DOI OpenURL
Caussignac, Ph. Incompletely parabolic systems from Friedrichs theory point of view. (English) Zbl 0891.35070 Math. Models Methods Appl. Sci. 7, No. 8, 1141-1152 (1997). MSC: 35K65 35A05 PDF BibTeX XML Cite \textit{Ph. Caussignac}, Math. Models Methods Appl. Sci. 7, No. 8, 1141--1152 (1997; Zbl 0891.35070) Full Text: DOI OpenURL
Yeh, Li-Ming Subsonic solutions of hydrodynamic model for semiconductors. (English) Zbl 0882.35117 Math. Methods Appl. Sci. 20, No. 16, 1389-1410 (1997). MSC: 35Q60 35Q35 35L60 35M20 PDF BibTeX XML Cite \textit{L.-M. Yeh}, Math. Methods Appl. Sci. 20, No. 16, 1389--1410 (1997; Zbl 0882.35117) Full Text: DOI OpenURL
Jüngel, Ansgar The free boundary problem of a semiconductor in thermal equilibrium. (English) Zbl 0822.35155 Math. Methods Appl. Sci. 18, No. 5, 387-412 (1995). MSC: 35R35 35Q60 65N30 65N15 PDF BibTeX XML Cite \textit{A. Jüngel}, Math. Methods Appl. Sci. 18, No. 5, 387--412 (1995; Zbl 0822.35155) Full Text: DOI OpenURL