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Volumn 12, Issue 4, 2001, Pages 497-512

The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model

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EID: 0035645366     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0956792501004533     Document Type: Article
Times cited : (56)

References (35)
  • 1
    • 84878618507 scopus 로고    scopus 로고
    • On logarithmic Sobolev inequalities, Csiszar-Kullback inequalities, and the rate of convergence to equilibrium for Fokker-Planck type equations
    • TU-Berlin
    • ARNOLD, A., MARKOWICH, P. A., TOSCANI, G. & UNTERREITER, A. (1998) On logarithmic Sobolev inequalities, Csiszar-Kullback inequalities, and the rate of convergence to equilibrium for Fokker-Planck type equations. Preprint Reihe Mathematik 592, TU-Berlin.
    • (1998) Reihe Mathematik , vol.592
    • Arnold, A.1    Markowich, P.A.2    Toscani, G.3    Unterreiter, A.4
  • 2
    • 0001675975 scopus 로고
    • Limite singuliere du systeme de Vlasov-Poisson dans le regime de quasi neutralite: Le cas independant du temps.
    • BRENIER, Y. & GRENIER, E. (1994) Limite singuliere du systeme de Vlasov-Poisson dans le regime de quasi neutralite: Le cas independant du temps. (Singular limit of the Vlasov-Poisson system in the quasi-neutral regime: The time independent case). C. R. Acad. Sci. Ser. I 318(2), 121-124.
    • (1994) C. R. Acad. Sci. Ser. I , vol.318 , Issue.2 , pp. 121-124
    • Brenier, Y.1    Grenier, E.2
  • 3
    • 0343824713 scopus 로고
    • A convection-diffusion problem with small diffusion coefficient arising in semiconductor physics
    • BREZZI, F. & MARKOWICH, P. A. (1988) A convection-diffusion problem with small diffusion coefficient arising in semiconductor physics. Bollettino UMI, 7(2B), 903-930.
    • (1988) Bollettino UMI , vol.7 , Issue.2 B , pp. 903-930
    • Brezzi, F.1    Markowich, P.A.2
  • 4
    • 0347979432 scopus 로고    scopus 로고
    • On Maxwellian Equilibria of Insulated Semiconductors
    • Erwin Schrödinger Institute for Mathematical Physics, Wien
    • CAFFARELLI, L., DOLBEAULT, J., MARKOWICH, P. A. & SCHMEISER, C. (1999) On Maxwellian Equilibria of Insulated Semiconductors. ESI preprint No. 752, Erwin Schrödinger Institute for Mathematical Physics, Wien.
    • (1999) ESI Preprint No. 752 , vol.752
    • Caffarelli, L.1    Dolbeault, J.2    Markowich, P.A.3    Schmeiser, C.4
  • 6
    • 0037509741 scopus 로고
    • On the uniqueness of solutions to the drift-diffusion model of semiconductor devices
    • GAJEWSKI, H. (1994) On the uniqueness of solutions to the drift-diffusion model of semiconductor devices. Math. Models Methods Appl. Sci. 4, 121-133.
    • (1994) Math. Models Methods Appl. Sci. , vol.4 , pp. 121-133
    • Gajewski, H.1
  • 7
    • 0022220368 scopus 로고
    • On existence, uniqueness and asymptotic behaviour of solutions of the basic equations for carrier transport in semiconductors
    • GAJEWSKI, H. (1995) On existence, uniqueness and asymptotic behaviour of solutions of the basic equations for carrier transport in semiconductors. ZAMM, 65, 101-108.
    • (1995) ZAMM , vol.65 , pp. 101-108
    • Gajewski, H.1
  • 8
    • 0003331776 scopus 로고    scopus 로고
    • The initial time layer problem and the quasineutral limit in a nonlinear drift diffusion model for semiconductors
    • to appear
    • GASSER, I. (2001) The initial time layer problem and the quasineutral limit in a nonlinear drift diffusion model for semiconductors. NoDEA (to appear).
    • (2001) NoDEA
    • Gasser, I.1
  • 9
    • 0008945746 scopus 로고    scopus 로고
    • On the Relations between different macroscopic models for semiconductors
    • Universität Hamburg
    • GASSER, I. (2000) On the Relations between different macroscopic models for semiconductors. Fachbereich Mathematik, Universität Hamburg.
    • (2000) Fachbereich Mathematik
    • Gasser, I.1
  • 11
    • 0035117118 scopus 로고    scopus 로고
    • The combined relaxation and vanishing Debye length limit in the hydrodynamic model for semiconductors
    • 2 AS, 24(2), 81-92.
    • (2001) 2 AS , vol.24 , Issue.2 , pp. 81-92
    • Gasser, I.1    Marcati, P.2
  • 13
    • 25044442575 scopus 로고    scopus 로고
    • A hierarchy of hydrodynamic models for plasmas: Quasi-neutral limits in the drift-diffusion equations
    • JÜNGEL, A. (1999) A hierarchy of hydrodynamic models for plasmas: quasi-neutral limits in the drift-diffusion equations. TMR preprint No. 107 (http://www.math.tu-berlin.de/̃tmr/).
    • (1999) TMR Preprint No. 107 , vol.107
    • Jüngel, A.1
  • 14
    • 17544373064 scopus 로고
    • Switching time in junction diods and junction transistors
    • KINGSTON, R. H. (1954) Switching time in junction diods and junction transistors. Proc. IRE, 45, 829-834.
    • (1954) Proc. IRE , vol.45 , pp. 829-834
    • Kingston, R.H.1
  • 15
    • 36849141849 scopus 로고
    • Transient response of a p-n junction
    • LAX, B. & NEUSTADTER, S. F. (1954) Transient response of a p-n junction. J. Appl. Phy. 25, 148-1154.
    • (1954) J. Appl. Phy. , vol.25 , pp. 148-1154
    • Lax, B.1    Neustadter, S.F.2
  • 16
    • 0021406168 scopus 로고
    • A singular perturbation analysis of the fundamental semiconductor device equations
    • MARKOWICH, P. A. (1984) A singular perturbation analysis of the fundamental semiconductor device equations. SIAM J. Appl. Math. 44, 231-256.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 231-256
    • Markowich, P.A.1
  • 17
    • 0039870635 scopus 로고
    • An asymptotic analysis of one-dimensional models of semiconductor devices
    • MARKOWICH, P. A., RINGHOFER, C. & SCHMEISER, C. (1986) An asymptotic analysis of one-dimensional models of semiconductor devices. IMA J. Appl. Math. 37, 1-24.
    • (1986) IMA J. Appl. Math. , vol.37 , pp. 1-24
    • Markowich, P.A.1    Ringhofer, C.2    Schmeiser, C.3
  • 19
    • 38249024140 scopus 로고
    • A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics
    • MARKOWICH, P. A. & SZMOLYAN, P. (1989) A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. J. Differential Equations, 81, 234-254.
    • (1989) J. Differential Equations , vol.81 , pp. 234-254
    • Markowich, P.A.1    Szmolyan, P.2
  • 21
    • 0000907860 scopus 로고
    • An analysis of semiconductor p - N junctions
    • PLEASE, C. P. (1982) An analysis of semiconductor p - n junctions. IMA J. Appl. Math. 28, 301-318.
    • (1982) IMA J. Appl. Math. , vol.28 , pp. 301-318
    • Please, C.P.1
  • 22
    • 0023366187 scopus 로고
    • An asymptotic analysis of a transient p - N - junction model
    • RINGHOFER, C. (1987) An asymptotic analysis of a transient p - n - junction model. SIAM J. Appl. Math. 47, 624-642.
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 624-642
    • Ringhofer, C.1
  • 23
    • 0347349227 scopus 로고
    • A singular perturbation analysis for the transient semiconductor device equations in one space dimension
    • RINGHOFER, C. (1987) A singular perturbation analysis for the transient semiconductor device equations in one space dimension. IMA J. Appl. Math. 39(1), 17-32.
    • (1987) IMA J. Appl. Math. , vol.39 , Issue.1 , pp. 17-32
    • Ringhofer, C.1
  • 25
    • 0026389070 scopus 로고
    • Voltage-current characteristics of multi-dimensional semiconductor devices
    • SCHMEISER, C. (1991) Voltage-current characteristics of multi-dimensional semiconductor devices. Quart. Appl. Math. 49(4), 753-772.
    • (1991) Quart. Appl. Math. , vol.49 , Issue.4 , pp. 753-772
    • Schmeiser, C.1
  • 26
    • 0346088119 scopus 로고
    • Free boundaries in semiconductor devices
    • J. Chadham and H. Rasmussen, editors, Longman, Harlow
    • SCHMEISER, C. (1992) Free boundaries in semiconductor devices. In: J. Chadham and H. Rasmussen, editors, Proc. Free Boundary Problems: Theory and Applications, 3. Longman, Harlow.
    • (1992) Proc. Free Boundary Problems: Theory and Applications , vol.3
    • Schmeiser, C.1
  • 27
    • 0027578276 scopus 로고
    • The transient behaviour of multi-dimensional pn-diodes in low injection
    • SCHMEISER, C. & UNTERREITER, A. (1992) The transient behaviour of multi-dimensional pn-diodes in low injection. Math. Meth. Appl. Sci. 15, 265-279.
    • (1992) Math. Meth. Appl. Sci. , vol.15 , pp. 265-279
    • Schmeiser, C.1    Unterreiter, A.2
  • 28
    • 0347979431 scopus 로고
    • The switching behaviour of a one-dimensional pn-diode in low injection
    • SCHMEISER, C., UNTERREITER, A. & WEISS, R. (1993) The switching behaviour of a one-dimensional pn-diode in low injection. Math. Models & Meth. Appl. Sci. 3, 125-144.
    • (1993) Math. Models & Meth. Appl. Sci. , vol.3 , pp. 125-144
    • Schmeiser, C.1    Unterreiter, A.2    Weiss, R.3
  • 29
    • 0001056393 scopus 로고
    • Asymptotic analysis of singular singularly perturbed boundary value problems
    • SCHMEISER, C. & WEISS, R. (1986) Asymptotic analysis of singular singularly perturbed boundary value problems. SIAM J. Math. Anal. 17, 560-579.
    • (1986) SIAM J. Math. Anal. , vol.17 , pp. 560-579
    • Schmeiser, C.1    Weiss, R.2
  • 30
    • 84944485155 scopus 로고
    • The theory of p-n junctions in semiconductors and p-n junction transistors
    • SHOCKLEY, W. (1949) The theory of p-n junctions in semiconductors and p-n junction transistors. Bell. Syst. Tech. J. 28, 435. (Reprinted in Annals Math. Pura Appl. 166, 65-96, 1987.)
    • (1949) Bell. Syst. Tech. J. , vol.28 , pp. 435
    • Shockley, W.1
  • 31
    • 84944485155 scopus 로고
    • SHOCKLEY, W. (1949) The theory of p-n junctions in semiconductors and p-n junction transistors. Bell. Syst. Tech. J. 28, 435. (Reprinted in Annals Math. Pura Appl. 166, 65-96, 1987.)
    • (1987) Annals Math. Pura Appl. , vol.166 , pp. 65-96
  • 34
    • 0024686576 scopus 로고
    • Asymptotic methods for transient semiconductor equations
    • SZMOLYAN, P. (1989) Asymptotic methods for transient semiconductor equations. COMPEL, 8, 113-122.
    • (1989) COMPEL , vol.8 , pp. 113-122
    • Szmolyan, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.