메뉴 건너뛰기




Volumn 1, Issue 3, 2000, Pages 461-472

Long time behavior of solutions to Nernst-Planck and Debye-Hückel drift-diffusion systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034370899     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000230050003     Document Type: Article
Times cited : (147)

References (11)
  • 2
    • 0002334080 scopus 로고    scopus 로고
    • On logarithmic Sobolev inequalities, Csiszár-Kullback inequalities, and the rate of convergence to equilibrium for Fokker-Planck type equations
    • preprint TMR
    • A. Arnold, P. Markowich, G. Toscani, A. Unterreiter, On logarithmic Sobolev inequalities, Csiszár-Kullback inequalities, and the rate of convergence to equilibrium for Fokker-Planck type equations, preprint TMR "Asymptotic Methods in Kinetic Theory" 12 (1998), 1-77.
    • (1998) Asymptotic Methods in Kinetic Theory , vol.12 , pp. 1-77
    • Arnold, A.1    Markowich, P.2    Toscani, G.3    Unterreiter, A.4
  • 3
    • 0000163462 scopus 로고
    • Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions
    • P. Biler, Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions, Nonlinear Analysis T.M.A. 19 (1992), 1121-1136.
    • (1992) Nonlinear Analysis T.M.A. , vol.19 , pp. 1121-1136
    • Biler, P.1
  • 4
    • 0009283007 scopus 로고
    • The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
    • P. Biler, The Cauchy problem and self-similar solutions for a nonlinear parabolic equation, Studia, Math. 114 (1995), 181-205.
    • (1995) Studia, Math. , vol.114 , pp. 181-205
    • Biler, P.1
  • 5
    • 0000219814 scopus 로고
    • The Debye system: Existence and large time behavior of solutions
    • P. Biler, W. Hebisch, T. Nadzieja, The Debye system: existence and large time behavior of solutions, Nonlinear Analysis T.M.A. 23 (1994), 1189-1209.
    • (1994) Nonlinear Analysis T.M.A. , vol.23 , pp. 1189-1209
    • Biler, P.1    Hebisch, W.2    Nadzieja, T.3
  • 6
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • I. Csiszár, Information-type measures of difference of probability distributions and indirect observations, Studia, Sci. Math. Hungar. 2 (1967), 299-318.
    • (1967) Studia, Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszár, I.1
  • 8
    • 85037773360 scopus 로고    scopus 로고
    • Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics
    • preprint Ceremade no. 9945 / TMR "Asymptotic Methods in Kinetic Theory" no. 102
    • J. Dolbeault, G. Rein, Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics, preprint Ceremade no. 9945 / TMR "Asymptotic Methods in Kinetic Theory" no. 102 (1999), 1-34, to appear in Math. Mod. Appl. Sci.
    • (1999) Math. Mod. Appl. Sci. , pp. 1-34
    • Dolbeault, J.1    Rein, G.2
  • 9
    • 0000935590 scopus 로고
    • Sur les états d'équilibre pour les densités électroniques dans les plasmas
    • D. Gogny, P.-L. Lions, Sur les états d'équilibre pour les densités électroniques dans les plasmas, RAIRO Modél. Math. Anal. Numér. 23 (1989), 137-153.
    • (1989) RAIRO Modél. Math. Anal. Numér. , vol.23 , pp. 137-153
    • Gogny, D.1    Lions, P.-L.2
  • 10
    • 84941465845 scopus 로고
    • A lower bound for discrimination information in terms of variation
    • S. Kullback, A lower bound for discrimination information in terms of variation, IEEE Trans. Information Theory 13 (1967), 126-127.
    • (1967) IEEE Trans. Information Theory , vol.13 , pp. 126-127
    • Kullback, S.1
  • 11
    • 0031093206 scopus 로고    scopus 로고
    • Sur l'inégalité logarithmique de Sobolev
    • G. Toscani, Sur l'inégalité logarithmique de Sobolev, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), 689-694.
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , pp. 689-694
    • Toscani, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.