메뉴 건너뛰기
Journal of Mathematical Analysis and Applications
Volumn 327, Issue 1, 2007, Pages 425-434
Existence of stationary solutions to the Vlasov-Poisson-Boltzmann system
Author keywords

Nonlinear elliptic equation; Stationary solutions; Vlasov Poisson Boltzmann system
Indexed keywords

EID: 33750826517     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.04.047     Document Type: Article
Times cited : (16)
References (13)
  • 1
    • 0042744075 scopus 로고    scopus 로고
    • Relative entropies for kinetic equations in bounded domain (irreversibility, stationary solution, uniqueness)
    • Ben Abdallah N., and Dolbeault J. Relative entropies for kinetic equations in bounded domain (irreversibility, stationary solution, uniqueness). Arch. Ration. Mech. Anal. 168 (2003) 253-298
    • (2003) Arch. Ration. Mech. Anal. , vol.168 , pp. 253-298
    • Ben Abdallah, N.1    Dolbeault, J.2
  • 2
    • 0031256922 scopus 로고    scopus 로고
    • Asymptotic behavior of the initial boundary value problem for the three-dimensional Vlasov-Poisson-Fokker-Planck system
    • Bonilla L.L., Carrillo J.A., and Soler J. Asymptotic behavior of the initial boundary value problem for the three-dimensional Vlasov-Poisson-Fokker-Planck system. SIAM J. Appl. Math. 57 (1997) 1343-1372
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 1343-1372
    • Bonilla, L.L.1    Carrillo, J.A.2    Soler, J.3
  • 3
    • 43949174165 scopus 로고
    • Existence and uniqueness of a global smooth solution for the Vlasov-Poisson-Fokker-Planck system in three dimensions
    • Bouchut F. Existence and uniqueness of a global smooth solution for the Vlasov-Poisson-Fokker-Planck system in three dimensions. J. Funct. Anal. 111 (1993) 239-258
    • (1993) J. Funct. Anal. , vol.111 , pp. 239-258
    • Bouchut, F.1
  • 4
    • 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
    • Bouchut F., and Dolbeault J. 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
  • 5
    • 0000195197 scopus 로고
    • On long time asymptotics of the Vlasov-Poisson-Boltzmann equation
    • Devilletes L., and Dolbeault J. On long time asymptotics of the Vlasov-Poisson-Boltzmann equation. Comm. Partial Differential Equations 16 (1991) 451-489
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 451-489
    • Devilletes, L.1    Dolbeault, J.2
  • 6
    • 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)
    • Dolbeault J. 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
    • Dolbeault, J.1
  • 7
    • 0023207915 scopus 로고
    • Stationary solutions of the Vlasov-Poisson-Fokker-Planck equation
    • Dressler K. Stationary solutions of the Vlasov-Poisson-Fokker-Planck equation. Math. Methods Appl. Sci. 9 (1987) 169-176
    • (1987) Math. Methods Appl. Sci. , vol.9 , pp. 169-176
    • Dressler, K.1
  • 8
    • 84988178460 scopus 로고
    • Steady states in plasma physics-The Vlasov-Fokker-Planck equation
    • Dressler K. 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
    • 0030587377 scopus 로고    scopus 로고
    • Steady states of the Vlasov-Poisson-Fokker-Planck system
    • Glassey R., Schaeffer J., and Zheng Y. Steady states of the Vlasov-Poisson-Fokker-Planck system. J. Math. Anal. Appl. 202 (1996) 1058-1075
    • (1996) J. Math. Anal. Appl. , vol.202 , pp. 1058-1075
    • Glassey, R.1    Schaeffer, J.2    Zheng, Y.3
  • 10
    • 0035531905 scopus 로고    scopus 로고
    • The Vlasov-Poisson-Boltzmann system near vacuum
    • Guo Y. The Vlasov-Poisson-Boltzmann system near vacuum. Comm. Math. Phys. 218 (2001) 293-313
    • (2001) Comm. Math. Phys. , vol.218 , pp. 293-313
    • Guo, Y.1
  • 11
    • 0034348887 scopus 로고    scopus 로고
    • On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
    • Mischler S. On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system. Comm. Math. Phys. 210 (2000) 447-466
    • (2000) Comm. Math. Phys. , vol.210 , pp. 447-466
    • Mischler, S.1
  • 12
    • 33750812403 scopus 로고    scopus 로고
    • T. Yang, H.-J. Yu, H.-J. Zhao, Cauchy problem for the Vlasov-Poisson-Boltzmann system, Arch. Ration. Mech. Anal., in press
  • 13
    • 33750844149 scopus 로고    scopus 로고
    • T. Yang, H.-J. Zhao, Global existence of classical solutions to the Vlasov-Poisson-Boltzmann system, Comm. Math. Phys., in press

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.