Mixed Layer Problem of a Three-Dimensional Drift-Diffusion Model for Semiconductors
Mixed Layer Problem of a Three-Dimensional Drift-Diffusion Model for Semiconductors
摘要
The quasineutral limit and the mixed layer problem of a three-dimensional drift-diffusion model is discussed in this paper. For the Neumann boundaries and the general initial data, the quasineutral limit is proven rigorously with the help of the weighted energy method, the matched asymptotic expansion method of singular perturbation problem and the entropy production inequality.
二级参考文献10
-
1Jean Dolbeault,Peter A. Markowich,Andreas Unterreiter.On Singular Limits of Mean-Field Equations[J].Archive for Rational Mechanics and Analysis.2001(4)
-
2Wang S,Xin Z P,Markowich P A.Quasi-neutral limit of the drift-di-usion models for semiconductors: the case of general sign-changing doping profile[].SIAM Journal on Mathematical Analysis.2006
-
3Ju¨ngel A,Peng Y J.A hierarchy of hydrodynamic models for plasmas: quasineutral limits in the drift- di-usion equations[].Asymptot Anal.2001
-
4Sze S M.Semiconductor Devices, Physics and Technology[]..2002
-
5Gasser I,Hsiao L,Markowich P,et al.Quasineutral limit of a nonlinear drift-diffusion model for semicon- ductor models[].Journal of Mathematical Analysis and Applications.2002
-
6GASSER I,LEVERMORE D,MARKOWICH P A,et al.The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model[].European Journal of Applied Mathematics.2001
-
7Schmeiser C,Wang S.Quasineutral limit of the drift-diffusion model for semiconductors with general initial data[].Mathematical Methods in the Applied Sciences.2003
-
8M arkowich P A.A singularperturbation analysis ofthe fundationalsem iconductor device equations[].SIA M JA pplM ath.1984
-
9Carffarelli L,Dolbeault J,Markowich P A,et al.On maxwellian equalibria of insulated semiconductors[].Interfaces Free Bound.2000
-
10D olbeault J,M arkowich P A,Unterreiter A.O n singular lim its ofm ean-field equationds[].Archive for Rational Mechanics and Analysis.2001
-
1ZHAO ZhiHuan,FAN JiMin,CHANG HongHong,ASAKURA Yusuke,YIN Shu.Recent progress on mixed-anion type visible-light induced photocatalysts[J].Science China(Technological Sciences),2017,60(10):1447-1457. 被引量:1
-
2Yong Hong HUANG.Every Sub-Riemannian Manifold Is the Gromov–Hausdorff Limit of a Sequence Riemannian Manifolds[J].Acta Mathematica Sinica,English Series,2017,33(11):1565-1568. 被引量:1
-
3岳佳欣.English writing problems of Chinese Students and Suggestions[J].校园英语,2017(34):133-133.
-
4李加美,冯吉贞,覃业军,姚志刚.贲门混合性腺神经内分泌癌(双性癌)1例报道[J].诊断病理学杂志,2017,24(10):787-789. 被引量:2
-
5Filippov V.V.,Mitsuk S.V..Modelling Magnetoresistance Effect in Limited Anisotropic Semiconductors[J].Chinese Physics Letters,2017,34(7):212-214.
-
6程凤伟,郭虎升.一种基于混合度的层次粒度SVM算法[J].山西大学学报(自然科学版),2017,40(4):750-755.
-
7恩智浦推出新型晶体管为915MHz应用提供750W CW突破固态射频能量极限[J].半导体信息,2017,0(4):11-12.
-
8Ai-Gen Xie,Min Lai,Yu-Lin Chen,Yu-Qing Xia.Formulae for secondary electron yield from insulators and semiconductors[J].Nuclear Science and Techniques,2017,28(10):9-14. 被引量:1
-
9孙中洋,孙新娟,陈金安,王伟,柳岚,陈寅晨,杨慧,胡志为,王雷,姜东,张洁,王爱萍.SIANM评估法:一种新的糖尿病足评估方法[J].创伤外科杂志,2017,19(11):869-872. 被引量:4
-
10NGUYEN Van Kien,SICKEL Winfried.Pointwise multipliers for Besov spaces of dominating mixed smoothness-Ⅱ[J].Science China Mathematics,2017,60(11):2241-2262. 被引量:1