Chen, Xiuqing; Chen, Li; Jian, Huaiyu Existence, semiclassical limit and long-time behavior of weak solution to quantum drift-diffusion model. (English) Zbl 1171.35329 Nonlinear Anal., Real World Appl. 10, No. 3, 1321-1342 (2009). MSC: 35B40 35K35 35B25 35K55 35Q60 35Q40 PDFBibTeX XMLCite \textit{X. Chen} et al., Nonlinear Anal., Real World Appl. 10, No. 3, 1321--1342 (2009; Zbl 1171.35329) Full Text: DOI
Chen, Xiuqing; Chen, Li; Jian, Huaiyu The Dirichlet problem of the quantum drift-diffusion model. (English) Zbl 1158.35372 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 9, 3084-3092 (2008). MSC: 35K35 35K50 35K55 35Q40 35Q60 PDFBibTeX XMLCite \textit{X. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 9, 3084--3092 (2008; Zbl 1158.35372) Full Text: DOI
Chen, Xiuqing; Chen, Li; Jian, Huaiyu The existence and long-time behavior of weak solution to bipolar quantum drift-diffusion model. (English) Zbl 1145.35384 Chin. Ann. Math., Ser. B 28, No. 6, 651-664 (2007). MSC: 35K35 35J60 65M12 65M20 35K50 35D05 35B40 PDFBibTeX XMLCite \textit{X. Chen} et al., Chin. Ann. Math., Ser. B 28, No. 6, 651--664 (2007; Zbl 1145.35384) Full Text: DOI