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Volumn 13, Issue 2, 2003, Pages 515-539

Solving Landau equation for some soft potentials through a probabilistic approach

Author keywords

Landau equation; Nonlinear martingale problems; Nonlinear stochastic differential equation; White noise

Indexed keywords


EID: 26844577221     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/aoap/1050689592     Document Type: Article
Times cited : (20)

References (12)
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  • 2
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  • 3
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    • Desvillettes, L.1    Villani, C.2
  • 5
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    • A certain class of diffusion processes associated with nonlinear parabolic equations
    • FUNAKI, T. (1984). A certain class of diffusion processes associated with nonlinear parabolic equations. Z. Wahrsch. Verw. Gebiete 67 331-348.
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    • Funaki, T.1
  • 6
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    • Sur l'équation de Boltzmann homogène et sa relation avec l'équation de Landau-Fokker-Planck: Influence des collisions rasantes
    • GOUDON, T. (1997). Sur l'équation de Boltzmann homogène et sa relation avec l'équation de Landau-Fokker-Planck: Influence des collisions rasantes. C. R. Acad. Sci. Paris 324 265-270.
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  • 7
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    • Guérin, H.1
  • 8
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    • Weak convergence of sequences of semimartingales with applications to multitype branching process
    • JOFFE, A. and METIVIER, M. (1986). Weak convergence of sequences of semimartingales with applications to multitype branching process. Adv. in Appl. Probab. 18 20-650.
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  • 10
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    • On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations
    • VILLANI, C. (1998a). On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rational Mech. Anal. 143 273-307.
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  • 11
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    • On the spatially homogeneous Landau equation for Maxwellian molecules
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    • Villani, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.