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Volumn 64, Issue 6 SPEC. ISS., 2005, Pages 939-945

Does the flatness of the velocity derivative blow up at a finite Reynolds number?

Author keywords

Derivative flatness; High Reynolds number turbulence; Navler Stokes singularities

Indexed keywords

ENERGY DISSIPATION; GRAPH THEORY; HYDRODYNAMICS; NAVIER STOKES EQUATIONS; STATISTICAL METHODS; TURBULENCE;

EID: 21544467577     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (2)

References (36)
  • 2
    • 51249193194 scopus 로고
    • English translation by R E Terrell
    • J Leray, Acta Math. Acad. Sci. Hung, 63, 193 (1934), English translation by R E Terrell is available on http://www.math.cornell.edu/~bterrell/leray.shtml
    • (1934) Acta Math. Acad. Sci. Hung , vol.63 , pp. 193
    • Leray, J.1
  • 6
    • 21544474613 scopus 로고
    • Commun. Math. Phys. 55, 97 (1977); 1 (1980)
    • (1977) Commun. Math. Phys. , vol.55 , pp. 97
  • 13
    • 0000286944 scopus 로고
    • Mathematical principles of classical fluid mechanics
    • edited by F Flügge and C Truesdell (Springer-Verlag)
    • J Serrin, Mathematical principles of classical fluid mechanics, in Handbuch der Physik VIH/I, edited by F Flügge and C Truesdell (Springer-Verlag, 1959) pp, 125-263
    • (1959) Handbuch der Physik VIH/I , pp. 125-263
    • Serrin, J.1
  • 20
    • 21544458977 scopus 로고    scopus 로고
    • note
    • As is well-known, the Reynolds number based on this (average) Kolmogorov scale and the (average) velocity appropriate to that scale is unity
  • 24
    • 21544433715 scopus 로고    scopus 로고
    • note
    • h = 0. This can never happen when Re < Re*, which agrees with Leray's result [2] that the NS solutions are regular at a sufficiently low Re. Furthermore, a singularity can occur for Ro > Re* only if there is a point with h ≤ -1
  • 29
    • 21544440337 scopus 로고    scopus 로고
    • A Bershadskii and K R Sreenivasan, to appear (2005)
    • A Bershadskii and K R Sreenivasan, to appear (2005)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.