메뉴 건너뛰기




Volumn 35, Issue 2, 2001, Pages 295-312

Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations

Author keywords

Asymptotic analysis; Boundary layers; Crift diffusion equations; Optimal convergence rate

Indexed keywords


EID: 0035593323     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2001116     Document Type: Article
Times cited : (3)

References (21)
  • 1
    • 0001323666 scopus 로고
    • Un théorème de compacité
    • J.P. Aubin, Un théorème de compacité. C. R. Acad. Sci. Paris 256 (1963) 5042-5044.
    • (1963) C. R. Acad. Sci. Paris , vol.256 , pp. 5042-5044
    • Aubin, J.P.1
  • 2
    • 0000373558 scopus 로고    scopus 로고
    • Convergence of the Vlasov-Poisson system to the incompressible Euler equations
    • Y. Brenier, Convergence of the Vlasov-Poisson system to the incompressible Euler equations. Comm. Partial Differential Equations 25 (2000) 737-754.
    • (2000) Comm. Partial Differential Equations , vol.25 , pp. 737-754
    • Brenier, Y.1
  • 3
    • 0001298394 scopus 로고
    • Analyse asymptotique de l'équation de Poisson couplée à la relation de Boltzmann. Quasineutralité des plasmas
    • H. Brézis, F. Golse, R. Sentis, Analyse asymptotique de l'équation de Poisson couplée à la relation de Boltzmann. Quasineutralité des plasmas. C. R. Acad. Sci. Paris 321 (1995) 953-959.
    • (1995) C. R. Acad. Sci. Paris , vol.321 , pp. 953-959
    • Brézis, H.1    Golse, F.2    Sentis, R.3
  • 4
    • 0000790373 scopus 로고
    • Traveling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit
    • S. Cordier, P. Degond, P. Markowich, C. Schmeiser, Traveling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit. Asymptot. Anal. 11 (1995) 209-224.
    • (1995) Asymptot. Anal. , vol.11 , pp. 209-224
    • Cordier, S.1    Degond, P.2    Markowich, P.3    Schmeiser, C.4
  • 5
    • 0034365798 scopus 로고    scopus 로고
    • Quasineutral limit of an Euler-Poisson system arising from plasma physics
    • S. Cordier, E. Grenier, Quasineutral limit of an Euler-Poisson system arising from plasma physics. Comm. Partial Differential Equations 25 (2000) 1099-1113.
    • (2000) Comm. Partial Differential Equations , vol.25 , pp. 1099-1113
    • Cordier, S.1    Grenier, E.2
  • 6
    • 0015746830 scopus 로고
    • Semilinear elliptic boundary value problems with small parameters
    • P.C. Fife, Semilinear elliptic boundary value problems with small parameters. Arch. Rational Mech. Anal. 52 (1973) 205-232.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 205-232
    • Fife, P.C.1
  • 7
    • 0037509741 scopus 로고
    • On the uniqueness of solutions to the drift-diffusion model of semiconductor devices
    • H. Gajewski, On the uniqueness of solutions to the drift-diffusion model of semiconductor devices. Math. Models Methods Appl. Sci. 4 (1994) 121-133.
    • (1994) Math. Models Methods Appl. Sci. , vol.4 , pp. 121-133
    • Gajewski, H.1
  • 8
    • 0040772568 scopus 로고    scopus 로고
    • The initial time layer problem and the quasi-neutral limit in a nonlinear drift diffusion model for semiconductors
    • to appear
    • I. Gasser, The initial time layer problem and the quasi-neutral limit in a nonlinear drift diffusion model for semiconductors. Nonlinear Differential Equations Appl. (to appear).
    • Nonlinear Differential Equations Appl.
    • Gasser, I.1
  • 10
    • 0031446598 scopus 로고    scopus 로고
    • A nonlinear drift-diffusion system with electric convection arising in semiconductor and electrophoretic modeling
    • A. Jüngel, A nonlinear drift-diffusion system with electric convection arising in semiconductor and electrophoretic modeling. Math. Nachr. 185 (1997) 85-110.
    • (1997) Math. Nachr. , vol.185 , pp. 85-110
    • Jüngel, A.1
  • 11
    • 0033475119 scopus 로고    scopus 로고
    • A hierarchy of hydrodynamic models for plasmas. Zero-relaxation-time limits
    • A. Jüngel, Y. J. Peng, A hierarchy of hydrodynamic models for plasmas. Zero-relaxation-time limits. Comm. Partial Differential Equations 24 (1999) 1007-1033.
    • (1999) Comm. Partial Differential Equations , vol.24 , pp. 1007-1033
    • Jüngel, A.1    Peng, Y.J.2
  • 12
    • 0002387420 scopus 로고    scopus 로고
    • A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations
    • A. Jüngel, Y. J. Peng, A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations. Ann. Inst. H. Poincaré, Anal. Non Linéaire 17 (2000) 83-118.
    • (2000) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.17 , pp. 83-118
    • Jüngel, A.1    Peng, Y.J.2
  • 13
    • 0034342144 scopus 로고    scopus 로고
    • Zero-relaxation-time limits in hydrodynamic models for plasmas revisited
    • A. Jüngel, Y.J. Peng, Zero-relaxation-time limits in hydrodynamic models for plasmas revisited. Z. Angew. Math. Phys. 51 (2000) 385-396.
    • (2000) Z. Angew. Math. Phys. , vol.51 , pp. 385-396
    • Jüngel, A.1    Peng, Y.J.2
  • 14
    • 0035473786 scopus 로고    scopus 로고
    • A hierarchy of hydrodynamic models for plasmas. Quasi-neutral limits in the drift-diffusion equations
    • to appear
    • A. Jüngel, Y.J. Peng, A hierarchy of hydrodynamic models for plasmas. Quasi-neutral limits in the drift-diffusion equations. Asymptot. Anal. (to appear).
    • Asymptot. Anal.
    • Jüngel, A.1    Peng, Y.J.2
  • 16
    • 0021505906 scopus 로고
    • A singular perturbation analysis of the fundamental semiconductor device equations
    • P.A. Markowich, A singular perturbation analysis of the fundamental semiconductor device equations. SIAM J. Appl. Math. 44 (1984) 896-928.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 896-928
    • Markowich, P.A.1
  • 17
    • 0039870635 scopus 로고
    • An asymptotic analysis of one-dimensional models for semiconductor devices
    • P.A. Markowich, C. Ringhofer, C. Schmeiser, An asymptotic analysis of one-dimensional models for semiconductor devices. IMA J. Appl. Math. 37 (1986) 1-24.
    • (1986) IMA J. Appl. Math. , vol.37 , pp. 1-24
    • Markowich, P.A.1    Ringhofer, C.2    Schmeiser, C.3
  • 18
    • 0343442476 scopus 로고    scopus 로고
    • Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for a nonlinear Euler-Poisson system
    • Y.J. Peng, Convergence of the fractional step Lax-Friedrichs scheme and Godunov scheme for a nonlinear Euler-Poisson system. Nonlinear Anal. TMA 42 (2000) 1033-1054.
    • (2000) Nonlinear Anal. TMA , vol.42 , pp. 1033-1054
    • Peng, Y.J.1
  • 19
    • 0002386581 scopus 로고    scopus 로고
    • On singular perturbation problems for the nonlinear Poisson equation or: A mathematical approach to electrostatic sheaths and plasma erosion
    • P. Raviart, On singular perturbation problems for the nonlinear Poisson equation or: A mathematical approach to electrostatic sheaths and plasma erosion, Lect. Notes of the Summer school in Ile d'Oléron, France (1997) 452-539.
    • (1997) Lect. Notes of the Summer School in Ile d'Oléron, France , pp. 452-539
    • Raviart, P.1
  • 20
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations
    • Nonlinear analysis and mechanics: Heriot-Watt Symp. Vol. 4
    • L. Tartar, Compensated compactness and applications to partial differential equations. In: Nonlinear analysis and mechanics: Heriot-Watt Symp. Vol. 4 and Res. Notes Math. 3 (1979) 136-212.
    • (1979) Res. Notes Math. , vol.3 , pp. 136-212
    • Tartar, L.1
  • 21
    • 84972814157 scopus 로고
    • Strong convergence results related to strict convexity
    • A. Visintin, Strong convergence results related to strict convexity. Comm. Partial Differential Equations 9 (1984) 439-466.
    • (1984) Comm. Partial Differential Equations , vol.9 , pp. 439-466
    • Visintin, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.