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Volumn 16, Issue 8, 2003, Pages 1273-1278

Exponential decay in time of solutions of the viscous quantum hydrodynamic equations

Author keywords

Entropy dissipation method; Long time behavior of solutions; Quantum hydrodynamics; Wigner Fokker Planck equation

Indexed keywords

CURRENT DENSITY; DIFFERENTIAL EQUATIONS; ELECTROSTATICS; METHOD OF MOMENTS; QUANTUM THEORY; THEOREM PROVING;

EID: 0242694996     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(03)90128-5     Document Type: Article
Times cited : (27)

References (10)
  • 1
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    • E. Madelung, Quantentheorie in hydrodynamischer Form, Z. Physik 40, 322, (1927).
    • (1927) Z. Physik , vol.40 , pp. 322
    • Madelung, E.1
  • 2
    • 85030938754 scopus 로고    scopus 로고
    • An analysis of quantum Fokker-Plank models: A Wigner function approach
    • (to appear)
    • A. Arnold, J. Lopez, P. Markowich and J. Soler, An analysis of quantum Fokker-Plank models: A Wigner function approach, Rev. Mat. Iberoam. (to appear).
    • Rev. Mat. Iberoam.
    • Arnold, A.1    Lopez, J.2    Markowich, P.3    Soler, J.4
  • 3
    • 17144376255 scopus 로고
    • Path integral approach to quantum Brownian motion
    • A. Caldeira and A. Leggett, Path integral approach to quantum Brownian motion, Physica A 121, 587-616, (1983).
    • (1983) Physica A , vol.121 , pp. 587-616
    • Caldeira, A.1    Leggett, A.2
  • 4
    • 0028413338 scopus 로고
    • The quantum hydrodynamic model for the semiconductor devices
    • C. Gardner, The quantum hydrodynamic model for the semiconductor devices, SIAM J. Appl. Math. 54, 409-427, (1994).
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 409-427
    • Gardner, C.1
  • 6
    • 21344476837 scopus 로고
    • On the creation of quantum vortex lines in rotating HeII
    • M. Loffedro and L. Morato, On the creation of quantum vortex lines in rotating HeII, Il Nuovo Cimento 108B, 205-215, (1993).
    • (1993) Il Nuovo Cimento , vol.108 B , pp. 205-215
    • Loffedro, M.1    Morato, L.2
  • 7
    • 18044401055 scopus 로고    scopus 로고
    • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities
    • J.A. Carrillo, A. Jüngel, P. Markowich, G. Toscani and A. Unterreiter, Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities, Monatsh. Math. 133, 1-82, (2001).
    • (2001) Monatsh. Math. , vol.133 , pp. 1-82
    • Carrillo, J.A.1    Jüngel, A.2    Markowich, P.3    Toscani, G.4    Unterreiter, A.5
  • 8
    • 0038407258 scopus 로고    scopus 로고
    • Exponential time decay to a nonlinear fourth-order parabolic equation
    • A. Jüngel and G. Toscani, Exponential time decay to a nonlinear fourth-order parabolic equation, Z. Angew. Math. 54, 377-386, (2003).
    • (2003) Z. Angew. Math. , vol.54 , pp. 377-386
    • Jüngel, A.1    Toscani, G.2
  • 9
    • 85030949159 scopus 로고    scopus 로고
    • Article in preparation
    • M. Gualdani and A. Jüngel, Article in preparation, 2002.
    • (2002)
    • Gualdani, M.1    Jüngel, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.