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Volumn 91, Issue 3-4, 1998, Pages 655-667

Large-deviations estimates in Burgers turbulence with stable noise initial data

Author keywords

Inviscid Burgers equation; Large deviations; Random initial velocity

Indexed keywords


EID: 0032074074     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023081728243     Document Type: Article
Times cited : (11)

References (20)
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  • 2
    • 21844507039 scopus 로고
    • Statistical properties of shocks in Burgers turbulence, II: Tail probabilities for velocities, shock-strengths and rarefaction intervals
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    • Avellaneda, M.1
  • 3
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    • Bertoin, J.1
  • 6
    • 0000332692 scopus 로고
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    • (1951) Quart. Appl. Math. , vol.9 , pp. 225-236
    • Cole, J.D.1
  • 7
    • 0001568756 scopus 로고
    • Limit theory for moving averages of random variables with regularly varying tail probabilities
    • R. Davis and S. Resnick, Limit theory for moving averages of random variables with regularly varying tail probabilities, Ann. Probab. 13:179-195 (1985).
    • (1985) Ann. Probab. , vol.13 , pp. 179-195
    • Davis, R.1    Resnick, S.2
  • 14
    • 0001161314 scopus 로고    scopus 로고
    • Hausdorff dimension of regular points in stochastic flows with Lévy α-stable initial data
    • A. W. Janicki and W. A. Woyczynski, Hausdorff dimension of regular points in stochastic flows with Lévy α-stable initial data, J. Stat. Phys. 86:277-299 (1997).
    • (1997) J. Stat. Phys. , vol.86 , pp. 277-299
    • Janicki, A.W.1    Woyczynski, W.A.2
  • 15
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    • S. A. Molchanov, D. Surgailis, and W. A. Woyczynski, Hyperbolic asymptotics in Burgers' turbulence and extremal processes, Commun. Math. Phys. 168:209-226 (1995).
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    • Molchanov, S.A.1    Surgailis, D.2    Woyczynski, W.A.3
  • 16
    • 0039833786 scopus 로고    scopus 로고
    • Large-deviation analysis of Burgers turbulence with white-noise initial data
    • R. Ryan, Large-deviation analysis of Burgers turbulence with white-noise initial data, Comm. Pure Appl. Math. 51:47-75 (1998).
    • (1998) Comm. Pure Appl. Math. , vol.51 , pp. 47-75
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  • 18
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    • The inviscid Burgers equation with initial data of Brownian type
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    • (1992) Commun. Math. Phys. , vol.148 , pp. 623-641
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.