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Volumn 44, Issue 2, 2007, Pages 528-546

Probabilistic approximation of a nonlinear parabolic equation occurring in rheology

Author keywords

Nonlinear martingale problem; Propagation of chaos; Stochastic particle method

Indexed keywords


EID: 34548050199     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1183667419     Document Type: Article
Times cited : (5)

References (10)
  • 1
    • 0001224167 scopus 로고
    • Uniqueness for diffusions with piecewise constant coefficients
    • BASS, R. F. AND PARDOUX, E. (1987). Uniqueness for diffusions with piecewise constant coefficients. Prob. Theory Relat. Fields 76, 557-572.
    • (1987) Prob. Theory Relat. Fields , vol.76 , pp. 557-572
    • BASS, R.F.1    PARDOUX, E.2
  • 2
    • 33144465190 scopus 로고    scopus 로고
    • Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-Newtonian flows
    • CANCÈS, E., CATTO, I. AND GATI, Y. (2005). Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-Newtonian flows. SIAM J. Math. Anal. 37, 60-82.
    • (2005) SIAM J. Math. Anal , vol.37 , pp. 60-82
    • CANCÈS, E.1    CATTO, I.2    GATI, Y.3
  • 4
    • 0000513814 scopus 로고    scopus 로고
    • Mode-coupling theory for the pasty rheology of soft glassy materials
    • HÉBRAUX, P. AND LEQUEUX, F. (1998). Mode-coupling theory for the pasty rheology of soft glassy materials. Phys. Rev. Lett. 81, 2934-2937.
    • (1998) Phys. Rev. Lett , vol.81 , pp. 2934-2937
    • HÉBRAUX, P.1    LEQUEUX, F.2
  • 5
    • 34548007988 scopus 로고
    • Some estimates of the probability density of a stochastic integral
    • KRYLOV, N. V. (1974). Some estimates of the probability density of a stochastic integral. Ser. Mat. 38, 233-254.
    • (1974) Ser. Mat , vol.38 , pp. 233-254
    • KRYLOV, N.V.1
  • 6
    • 0010875386 scopus 로고
    • Problème des martingales et équations différentielles stochastiques associées àun opérateur intégro- différentiel
    • LEPELTIER, J. P. AND MARCHAL, B. (1976). Problème des martingales et équations différentielles stochastiques associées àun opérateur intégro- différentiel. Ann. Inst. H. Poincaré B 12, 43-103.
    • (1976) Ann. Inst. H. Poincaré B , vol.12 , pp. 43-103
    • LEPELTIER, J.P.1    MARCHAL, B.2
  • 7
    • 0003311631 scopus 로고
    • Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models
    • Probabilistic Models for Nonlinear Partial Differential Equations , Springer, Berlin, pp
    • MÉLÉARD, S. (1995). Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models. In Probabilistic Models for Nonlinear Partial Differential Equations (Lecture Notes Math. 1627; Montecatini Terme, 1995), Springer, Berlin, pp. 42-95.
    • (1995) Lecture Notes Math. 1627; Montecatini Terme, 1995 , pp. 42-95
    • MÉLÉARD, S.1
  • 10
    • 0001105004 scopus 로고
    • Topics in propagation of chaos
    • Ecole d'Été de Probabilités de Saint-Flour XIX-1989, Springer, New York
    • SZNITMAN, A.-S. (1991). Topics in propagation of chaos. In Ecole d'Été de Probabilités de Saint-Flour XIX-1989 (Lecture Notes Math. 1464), Springer, New York.
    • (1991) Lecture Notes Math , vol.1464
    • SZNITMAN, A.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.