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Volumn 128, Issue 3, 2007, Pages 699-719

Paths clustering and an existence result for stochastic vortex systems

Author keywords

Non local interaction; Stochastic differential equations; Vorticity

Indexed keywords


EID: 34547419234     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-007-9339-4     Document Type: Article
Times cited : (12)

References (14)
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    • Cépa, E.1    Lépingle, D.2
  • 4
    • 33745435471 scopus 로고    scopus 로고
    • Probabilistic interpretation and stochastic particle approximations of the three dimensional Navier-Stokes equation
    • J. Fontbona, Probabilistic interpretation and stochastic particle approximations of the three dimensional Navier-Stokes equation. Prob. Th. Rel. Fields 136:102-156 (2006).
    • (2006) Prob. Th. Rel. Fields , vol.136 , pp. 102-156
    • Fontbona, J.1
  • 8
    • 0000852622 scopus 로고
    • Hydrodynamics in two dimensions and vortex theory
    • C. Marchioro and M. Pulvirenti, Hydrodynamics in two dimensions and vortex theory, Commun. Maths. Phys. 84:483-503 (1982).
    • (1982) Commun. Maths. Phys. , vol.84 , pp. 483-503
    • Marchioro, C.1    Pulvirenti, M.2
  • 9
    • 0034310130 scopus 로고    scopus 로고
    • A trajectorial proof of the vortex method for the 2d Navier-Stokes equation
    • S. Méléard, A trajectorial proof of the vortex method for the 2d Navier-Stokes equation. Ann. Appl. Prob. 10:1197-1211 (2000).
    • (2000) Ann. Appl. Prob. , vol.10 , pp. 1197-1211
    • Méléard, S.1
  • 10
    • 0002261634 scopus 로고
    • Propagation of chaos for the two dimensional Navier-Stokes equation
    • K. Itô and N. Ikeda (eds.) Tokyo, Kinokuniya
    • H. Osada, Propagation of chaos for the two dimensional Navier-Stokes equation. In: Probabilistic Methods in Math. Phys., K. Itô and N. Ikeda (eds.), pp. 303-334 (Tokyo, Kinokuniya (1987).
    • (1987) Probabilistic Methods in Math. Phys. , pp. 303-334
    • Osada, H.1
  • 11
    • 0040102518 scopus 로고
    • Diffusion processes with generators of generalized divergence form
    • H. Osada, Diffusion processes with generators of generalized divergence form. J. Math. Kyoto Univ. 27:597-619 (1987).
    • (1987) J. Math. Kyoto Univ. , vol.27 , pp. 597-619
    • Osada, H.1
  • 12
    • 21844472480 scopus 로고
    • A stochastic differential equation arising from the vortex problem
    • 10
    • H. Osada, A stochastic differential equation arising from the vortex problem. Proc. Japan Acad. Ser. A Math. Sci. 61(10):333-336 (1985).
    • (1985) Proc. Japan Acad. Ser. A Math. Sci. , vol.61 , pp. 333-336
    • Osada, H.1
  • 13
    • 21144465181 scopus 로고
    • Interacting Brownian particles and the Wigner law
    • L. C. G. Rogers and Z. Shi, Interacting Brownian particles and the Wigner law. Probab. Theory Related Fields 95:555-570 (1993).
    • (1993) Probab. Theory Related Fields , vol.95 , pp. 555-570
    • Rogers, L.C.G.1    Shi, Z.2
  • 14
    • 34547458684 scopus 로고
    • On the existence and uniqueness of SDE describing an n-particle system interacting via a singular potential
    • S. Takanobu, On the existence and uniqueness of SDE describing an n-particle system interacting via a singular potential. Proc. Japan Acad. Ser. A Math. Sci. 61:287-290 (1985).
    • (1985) Proc. Japan Acad. Ser. A Math. Sci. , vol.61 , pp. 287-290
    • Takanobu, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.