Wu, Qiwei; Li, Yeping; Xu, Rui Large-time behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping in the half space. (English) Zbl 1507.35274 J. Math. Anal. Appl. 508, No. 2, Article ID 125899, 37 p. (2022). MSC: 35Q60 35B65 35B20 35B40 35A01 82D37 PDFBibTeX XMLCite \textit{Q. Wu} et al., J. Math. Anal. Appl. 508, No. 2, Article ID 125899, 37 p. (2022; Zbl 1507.35274) 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
Zhao, Jihong Global existence of large solutions for the generalized Poisson-Nernst-Planck equations. (English) Zbl 1462.35394 J. Math. Anal. Appl. 498, No. 1, Article ID 124943, 16 p. (2021). MSC: 35Q82 82D37 78A57 35Q92 92C17 42A38 35A01 35A02 35R11 PDFBibTeX XMLCite \textit{J. Zhao}, J. Math. Anal. Appl. 498, No. 1, Article ID 124943, 16 p. (2021; Zbl 1462.35394) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Math. Anal. Appl. 493, No. 1, Article ID 124537, 15 p. (2021; Zbl 1450.35216) Full Text: DOI
Holzinger, Philipp; Jüngel, Ansgar Large-time asymptotics for a matrix spin drift-diffusion model. (English) Zbl 1437.82021 J. Math. Anal. Appl. 486, No. 1, Article ID 123887, 20 p. (2020). Reviewer: Eugene Postnikov (Kursk) MSC: 82C70 35Q20 35Q81 35B40 82D37 78A35 PDFBibTeX XMLCite \textit{P. Holzinger} and \textit{A. Jüngel}, J. Math. Anal. Appl. 486, No. 1, Article ID 123887, 20 p. (2020; Zbl 1437.82021) Full Text: DOI arXiv
Liu, Fang; Li, Yeping Large time behavior of solution to the three-dimensional quantum bipolar drift-diffusion model from semiconductors. (English) Zbl 1435.35063 J. Math. Anal. Appl. 486, No. 1, Article ID 123866, 23 p. (2020). MSC: 35B40 82D37 35K30 35C06 PDFBibTeX XMLCite \textit{F. Liu} and \textit{Y. Li}, J. Math. Anal. Appl. 486, No. 1, Article ID 123866, 23 p. (2020; Zbl 1435.35063) 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
Feng, Yue-Hong; Liu, Cun-Ming Stability of steady-state solutions to Navier-Stokes-Poisson systems. (English) Zbl 1402.35223 J. Math. Anal. Appl. 462, No. 2, 1679-1694 (2018). Reviewer: Marin I. Marin (Braşov) MSC: 35Q35 35B65 35B35 78A35 76W05 35A01 82D37 PDFBibTeX XMLCite \textit{Y.-H. Feng} and \textit{C.-M. Liu}, J. Math. Anal. Appl. 462, No. 2, 1679--1694 (2018; Zbl 1402.35223) Full Text: DOI
Alì, G.; Romano, V. Existence and uniqueness for a two-temperature energy-transport model for semiconductors. (English) Zbl 1457.80004 J. Math. Anal. Appl. 449, No. 2, 1248-1264 (2017). MSC: 80A19 82D37 35A01 35A02 35Q79 PDFBibTeX XMLCite \textit{G. Alì} and \textit{V. Romano}, J. Math. Anal. Appl. 449, No. 2, 1248--1264 (2017; Zbl 1457.80004) 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
Kondej, Sylwia; Krejčiřík, David Asymptotic spectral analysis in colliding leaky quantum layers. (English) Zbl 1355.82052 J. Math. Anal. Appl. 446, No. 2, 1328-1355 (2017). Reviewer: Yulianna Perepelkina (Moskva) MSC: 82D37 82D80 PDFBibTeX XMLCite \textit{S. Kondej} and \textit{D. Krejčiřík}, J. Math. Anal. Appl. 446, No. 2, 1328--1355 (2017; Zbl 1355.82052) Full Text: DOI arXiv
Dreher, Michael; Schnur, Johannes The combined viscous semi-classical limit for a quantum hydrodynamic system with barrier potential. (English) Zbl 1310.82053 J. Math. Anal. Appl. 425, No. 2, 1113-1133 (2015). MSC: 82D37 82C70 35Q82 76Y05 35Q35 35M10 35C20 PDFBibTeX XMLCite \textit{M. Dreher} and \textit{J. Schnur}, J. Math. Anal. Appl. 425, No. 2, 1113--1133 (2015; Zbl 1310.82053) Full Text: DOI
Alì, Giuseppe; Bartel, Andreas; Rotundo, Nella Index-2 elliptic partial differential-algebraic models for circuits and devices. (English) Zbl 1330.35004 J. Math. Anal. Appl. 423, No. 2, 1348-1369 (2015). MSC: 35A01 78A35 35J57 35J62 PDFBibTeX XMLCite \textit{G. Alì} et al., J. Math. Anal. Appl. 423, No. 2, 1348--1369 (2015; Zbl 1330.35004) Full Text: DOI
Zamponi, Nicola Analysis of a drift-diffusion model with velocity saturation for spin-polarized transport in semiconductors. (English) Zbl 1297.35108 J. Math. Anal. Appl. 420, No. 2, 1167-1181 (2014). MSC: 35K51 82D37 78A35 35K59 35D30 35B40 35Q60 PDFBibTeX XMLCite \textit{N. Zamponi}, J. Math. Anal. Appl. 420, No. 2, 1167--1181 (2014; Zbl 1297.35108) Full Text: DOI arXiv
Dong, Jianwei Classical solutions to the one-dimensional stationary quantum drift-diffusion model. (English) Zbl 1256.35100 J. Math. Anal. Appl. 399, No. 2, 594-598 (2013). MSC: 35Q40 82D37 35A01 PDFBibTeX XMLCite \textit{J. Dong}, J. Math. Anal. Appl. 399, No. 2, 594--598 (2013; Zbl 1256.35100) Full Text: DOI
Xu, Xiangsheng Boundedness of solutions to a time-dependent semiconductor model. (English) Zbl 1203.35056 J. Math. Anal. Appl. 371, No. 1, 134-145 (2010). Reviewer: Joachim Naumann (Berlin) MSC: 35B45 35K60 82D37 35Q60 PDFBibTeX XMLCite \textit{X. Xu}, J. Math. Anal. Appl. 371, No. 1, 134--145 (2010; Zbl 1203.35056) Full Text: DOI
Mao, Jianfeng; Zhou, Fang; Li, Yeping Some limit analysis in a one-dimensional stationary quantum hydrodynamic model for semiconductors. (English) Zbl 1186.35165 J. Math. Anal. Appl. 364, No. 1, 186-194 (2010). MSC: 35Q35 35Q40 76Y05 82D37 35A35 PDFBibTeX XMLCite \textit{J. Mao} et al., J. Math. Anal. Appl. 364, No. 1, 186--194 (2010; Zbl 1186.35165) Full Text: DOI
Chen, Qiang; Guan, Ping Weak solutions to the stationary quantum drift-diffusion model. (English) Zbl 1173.35644 J. Math. Anal. Appl. 359, No. 2, 666-673 (2009). MSC: 35Q40 35D05 35B40 35B45 82D37 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{P. Guan}, J. Math. Anal. Appl. 359, No. 2, 666--673 (2009; Zbl 1173.35644) Full Text: DOI
Li, Fucai Quasineutral limit of the viscous quantum hydrodynamic model for semiconductors. (English) Zbl 1160.82359 J. Math. Anal. Appl. 352, No. 2, 620-628 (2009). MSC: 82D37 76Y05 35Q35 76D05 PDFBibTeX XMLCite \textit{F. Li}, J. Math. Anal. Appl. 352, No. 2, 620--628 (2009; Zbl 1160.82359) Full Text: DOI
Xu, Jiang On the classical solutions to the hydrodynamic model for semiconductors. (English) Zbl 1162.35331 J. Math. Anal. Appl. 351, No. 2, 682-693 (2009). MSC: 35B45 82D37 35B40 PDFBibTeX XMLCite \textit{J. Xu}, J. Math. Anal. Appl. 351, No. 2, 682--693 (2009; Zbl 1162.35331) Full Text: DOI
Lian, Songzhe; Yuan, Hongjun; Cao, Chunling; Gao, Wenjie The limiting problem of the drift-diffusion-Poisson model with discontinuous p-n-junctions. (English) Zbl 1166.35309 J. Math. Anal. Appl. 347, No. 1, 157-168 (2008). MSC: 35B40 82D37 35A05 35R60 PDFBibTeX XMLCite \textit{S. Lian} et al., J. Math. Anal. Appl. 347, No. 1, 157--168 (2008; Zbl 1166.35309) Full Text: DOI
Peng, Yue-Jun; Yang, Yong-Fu Junction layer analysis in one-dimensional steady-state Euler-Poisson equations. (English) Zbl 1186.35129 J. Math. Anal. Appl. 344, No. 1, 440-448 (2008). MSC: 35Q05 35B40 82D10 82D37 PDFBibTeX XMLCite \textit{Y.-J. Peng} and \textit{Y.-F. Yang}, J. Math. Anal. Appl. 344, No. 1, 440--448 (2008; Zbl 1186.35129) Full Text: DOI
Li, Yeping; Zhang, Jizhou The zero-electron-mass limit for a stationary nonisentropic hydrodynamic semiconductor model. (English) Zbl 1143.35345 J. Math. Anal. Appl. 343, No. 2, 871-883 (2008). MSC: 35Q05 35Q60 76G25 76M45 82D37 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Zhang}, J. Math. Anal. Appl. 343, No. 2, 871--883 (2008; Zbl 1143.35345) Full Text: DOI
Chen, Xiuqing; Chen, Li Initial time layer problem for quantum drift-diffusion model. (English) Zbl 1139.35010 J. Math. Anal. Appl. 343, No. 1, 64-80 (2008). MSC: 35B25 82D37 78A35 PDFBibTeX XMLCite \textit{X. Chen} and \textit{L. Chen}, J. Math. Anal. Appl. 343, No. 1, 64--80 (2008; Zbl 1139.35010) Full Text: DOI
Li, Yeping Convergence of the nonisentropic Euler-Poisson equations to incompressible type Euler equations. (English) Zbl 1139.35326 J. Math. Anal. Appl. 342, No. 2, 1107-1125 (2008). MSC: 35C20 35Q35 PDFBibTeX XMLCite \textit{Y. Li}, J. Math. Anal. Appl. 342, No. 2, 1107--1125 (2008; Zbl 1139.35326) Full Text: DOI
Kurokiba, Masaki; Ogawa, Takayoshi Well-posedness for the drift-diffusion system in \(L^p\) arising from the semiconductor device simulation. (English) Zbl 1145.35067 J. Math. Anal. Appl. 342, No. 2, 1052-1067 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K50 35Q60 82D37 PDFBibTeX XMLCite \textit{M. Kurokiba} and \textit{T. Ogawa}, J. Math. Anal. Appl. 342, No. 2, 1052--1067 (2008; Zbl 1145.35067) Full Text: DOI
Blokhin, A. M.; Tkachev, D. L. Representation of the solution to a model problem in semiconductor physics. (English) Zbl 1137.35330 J. Math. Anal. Appl. 341, No. 2, 1468-1475 (2008). MSC: 35C15 82D37 PDFBibTeX XMLCite \textit{A. M. Blokhin} and \textit{D. L. Tkachev}, J. Math. Anal. Appl. 341, No. 2, 1468--1475 (2008; Zbl 1137.35330) Full Text: DOI
Li, Yeping Diffusion relaxation limit of a bipolar hydrodynamic model for semiconductors. (English) Zbl 1121.35011 J. Math. Anal. Appl. 336, No. 2, 1341-1356 (2007). MSC: 35B25 82D37 35B45 35Q60 PDFBibTeX XMLCite \textit{Y. Li}, J. Math. Anal. Appl. 336, No. 2, 1341--1356 (2007; Zbl 1121.35011) Full Text: DOI
Götz, Thomas; Pinnau, René Nanoscale Poiseuille flow of charged particles. (English) Zbl 1122.35110 J. Math. Anal. Appl. 332, No. 1, 551-563 (2007). MSC: 35Q35 78A35 82D37 PDFBibTeX XMLCite \textit{T. Götz} and \textit{R. Pinnau}, J. Math. Anal. Appl. 332, No. 1, 551--563 (2007; Zbl 1122.35110) Full Text: DOI
Guan, Ping; Wu, Bin Existence of weak solutions to a degenerate time-dependent semiconductor equations with temperature effect. (English) Zbl 1114.35108 J. Math. Anal. Appl. 332, No. 1, 367-380 (2007). MSC: 35K65 35Q60 82D37 PDFBibTeX XMLCite \textit{P. Guan} and \textit{B. Wu}, J. Math. Anal. Appl. 332, No. 1, 367--380 (2007; Zbl 1114.35108) Full Text: DOI
Amster, Pablo; Mariani, María Cristina Oscillating solutions of a nonlinear fourth order ordinary differential equation. (English) Zbl 1127.34007 J. Math. Anal. Appl. 325, No. 2, 1133-1141 (2007). Reviewer: Klaus R. Schneider (Berlin) MSC: 34B15 34C25 34B60 47H11 PDFBibTeX XMLCite \textit{P. Amster} and \textit{M. C. Mariani}, J. Math. Anal. Appl. 325, No. 2, 1133--1141 (2007; Zbl 1127.34007) Full Text: DOI
Li, Yeping Asymptotic profile in a one-dimensional steady-state nonisentropic hydrodynamic model for semiconductors. (English) Zbl 1123.34010 J. Math. Anal. Appl. 325, No. 2, 949-967 (2007). Reviewer: Adriana Buică (Bellaterra) MSC: 34B15 35Q35 76X05 34C60 82D37 PDFBibTeX XMLCite \textit{Y. Li}, J. Math. Anal. Appl. 325, No. 2, 949--967 (2007; Zbl 1123.34010) Full Text: DOI
Chen, Li; Hsiao, Ling; Li, Yong Large time behavior and energy relaxation time limit of the solutions to an energy transport model in semiconductors. (English) Zbl 1079.35020 J. Math. Anal. Appl. 312, No. 2, 596-619 (2005). MSC: 35B40 35Q60 82D37 PDFBibTeX XMLCite \textit{L. Chen} et al., J. Math. Anal. Appl. 312, No. 2, 596--619 (2005; Zbl 1079.35020) Full Text: DOI
Blokhin, A. M.; Bushmanov, R. S.; Romano, V. Global existence for the system of the macroscopic balance equations of charge transport in semiconductors. (English) Zbl 1063.35110 J. Math. Anal. Appl. 305, No. 1, 72-90 (2005). MSC: 35L60 35Q60 35A05 82D37 PDFBibTeX XMLCite \textit{A. M. Blokhin} et al., J. Math. Anal. Appl. 305, No. 1, 72--90 (2005; Zbl 1063.35110) Full Text: DOI
Nieto, Juan Hydrodynamical limit for a drift-diffusion system modeling large-population dynamics. (English) Zbl 1043.35106 J. Math. Anal. Appl. 291, No. 2, 716-726 (2004). MSC: 35L60 82D37 PDFBibTeX XMLCite \textit{J. Nieto}, J. Math. Anal. Appl. 291, No. 2, 716--726 (2004; Zbl 1043.35106) Full Text: DOI
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. (English) Zbl 1016.82034 J. Math. Anal. Appl. 268, No. 1, 184-199 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 82D37 35Q60 PDFBibTeX XMLCite \textit{I. Gasser} et al., J. Math. Anal. Appl. 268, No. 1, 184--199 (2002; Zbl 1016.82034) Full Text: DOI Link
Majorana, A.; Milazzo, C. Space homogeneous solutions of the linear semiconductor Boltzmann equation. (English) Zbl 0986.35112 J. Math. Anal. Appl. 259, No. 2, 609-629 (2001). MSC: 35Q60 82D37 78A35 PDFBibTeX XMLCite \textit{A. Majorana} and \textit{C. Milazzo}, J. Math. Anal. Appl. 259, No. 2, 609--629 (2001; Zbl 0986.35112) Full Text: DOI
Li, Dening; Qian, Sixin Solutions for a hydrodynamic model of semiconductors. (English) Zbl 0965.76073 J. Math. Anal. Appl. 242, No. 2, 237-254 (2000). MSC: 76N10 82D37 PDFBibTeX XMLCite \textit{D. Li} and \textit{S. Qian}, J. Math. Anal. Appl. 242, No. 2, 237--254 (2000; Zbl 0965.76073) Full Text: DOI
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