메뉴 건너뛰기




Volumn 11, Issue 9, 2001, Pages 1631-1655

Long time asymptotics for the semiconductor Vlasov-Poisson-Boltzmann equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035729709     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202501001513     Document Type: Article
Times cited : (1)

References (20)
  • 1
    • 0031126460 scopus 로고    scopus 로고
    • Global existence of smooth solutions in three dimensions for the Vlasov-Poisson-Boltzmann equation arising in semiconductor physics
    • H. Andréasson, Global existence of smooth solutions in three dimensions for the Vlasov-Poisson-Boltzmann equation arising in semiconductor physics, Nonlinear Anal. Theory Methods Appl. 28 (1997) 1193-1211.
    • (1997) Nonlinear Anal. Theory Methods Appl. , vol.28 , pp. 1193-1211
    • Andréasson, H.1
  • 2
    • 17944383995 scopus 로고    scopus 로고
    • Entropies relatives pour le système de Vlasov-Poisson dans des domaines Bornés
    • N. Ben Abdallah and J. Dolbeaut, Entropies relatives pour le système de Vlasov-Poisson dans des domaines Bornés, C.R.A.S. Paris Sér. I Math. 320 (2000) 867-872.
    • (2000) C.R.A.S. Paris Sér. I Math. , vol.320 , pp. 867-872
    • Ben Abdallah, N.1    Dolbeaut, J.2
  • 4
    • 0031256922 scopus 로고    scopus 로고
    • Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system
    • L. L. Bonilla, J. A. Carrillo and J. Soler, Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system, SIAM J. Appl. Math. 5 (1997) 1343-1372.
    • (1997) SIAM J. Appl. Math. , vol.5 , pp. 1343-1372
    • Bonilla, L.L.1    Carrillo, J.A.2    Soler, J.3
  • 5
    • 84972497473 scopus 로고
    • On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials
    • F. Bouchut and J. Dolbeault, On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials, Differential Integral Equations 8 (1995) 487-514.
    • (1995) Differential Integral Equations , vol.8 , pp. 487-514
    • Bouchut, F.1    Dolbeault, J.2
  • 7
    • 0033074708 scopus 로고    scopus 로고
    • Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: External potential and confinement (large time behavior and steady states)
    • J. Dolbeaut, Free energy and solutions of the Vlasov-Poisson-Fokker-Planck system: External potential and confinement (large time behavior and steady states), J. Math. Pures Appl. 78 (1999) 121-157.
    • (1999) J. Math. Pures Appl. , vol.78 , pp. 121-157
    • Dolbeaut, J.1
  • 8
    • 84988178460 scopus 로고
    • Steady states in plasma physics - The Vlasov-Fokker-Planck equation
    • K. Dressler, Steady states in plasma physics - The Vlasov-Fokker-Planck equation, Math. Methods Appl. Sci. 12 (1990) 471-487.
    • (1990) Math. Methods Appl. Sci. , vol.12 , pp. 471-487
    • Dressler, K.1
  • 9
    • 84990553444 scopus 로고
    • Global weak solutions of Vlasov-Maxwell systems
    • R. J. DiPerna and P. L. Lions, Global weak solutions of Vlasov-Maxwell systems, Comm. Pure. Appl. Math. XLII (1989) 729-757.
    • (1989) Comm. Pure. Appl. Math. , vol.42 , pp. 729-757
    • DiPerna, R.J.1    Lions, P.L.2
  • 12
    • 0000935590 scopus 로고
    • Sur les Etats d'Equilibre pour les densités électroniques dans les plasmas, RAIRO
    • D. Gogny and P. L. Lions, Sur les Etats d'Equilibre pour les densités électroniques dans les plasmas, RAIRO, Mod. Math. Anal. Numér. 23 (1989) 137-153.
    • (1989) Mod. Math. Anal. Numér. , vol.23 , pp. 137-153
    • Gogny, D.1    Lions, P.L.2
  • 13
    • 45549114712 scopus 로고
    • Regularity of the moments of the solution of a transport equation
    • F. Golse, P. L. Lions, B. Perthame and R. Sentis, Regularity of the moments of the solution of a transport equation, J. Fund. Anal. 88 (1988) 110-125.
    • (1988) J. Fund. Anal. , vol.88 , pp. 110-125
    • Golse, F.1    Lions, P.L.2    Perthame, B.3    Sentis, R.4
  • 14
    • 84974759770 scopus 로고
    • Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac
    • F. Golse and F. Poupaud, Limite fluide des équations de Boltzmann des semiconducteurs pour une statistique de Fermi-Dirac, J. Asympt. Anal. 6 (1992) 135-160.
    • (1992) J. Asympt. Anal. , vol.6 , pp. 135-160
    • Golse, F.1    Poupaud, F.2
  • 16
    • 0039927422 scopus 로고
    • Global existence of solutions for the nonlinear Boltzmann equation of semiconductor physics
    • F. J. Mustieles, Global existence of solutions for the nonlinear Boltzmann equation of semiconductor physics, Rev. Mat. Iber. 6 (1990) 43-59.
    • (1990) Rev. Mat. Iber. , vol.6 , pp. 43-59
    • Mustieles, F.J.1
  • 17
    • 84988183226 scopus 로고
    • Global existence of weak solutions for a system of nonlinear Boltzmann equation in semiconductor physics
    • F. J. Mustieles, Global existence of weak solutions for a system of nonlinear Boltzmann equation in semiconductor physics, Math. Methods Appl. Sci. 14 (1991) 139-153.
    • (1991) Math. Methods Appl. Sci. , vol.14 , pp. 139-153
    • Mustieles, F.J.1
  • 18
    • 0025545719 scopus 로고
    • On a system of nonlinear Boltzmann equations of semiconductor physics
    • F. Poupaud, On a system of nonlinear Boltzmann equations of semiconductor physics, SIAM J. Appl. Math. 50 (1990) 1593-1606.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1593-1606
    • Poupaud, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.