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Volumn 184, Issue 2, 1997, Pages 443-455

Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD

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EID: 0031489424     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050067     Document Type: Article
Times cited : (264)

References (12)
  • 1
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    • Beale, J.T., Kato, T., Majda, A.: Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Commun. Math. Phys. 94, 61-66, (1984)
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    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 3
    • 0000838669 scopus 로고
    • Cascade model for intermittency in fully developed magnetohydrodynamic turbulence
    • Carbone, V.: Cascade model for intermittency in fully developed magnetohydrodynamic turbulence. Phys. Review Letters 71, 1546-1548 (1993)
    • (1993) Phys. Review Letters , vol.71 , pp. 1546-1548
    • Carbone, V.1
  • 4
    • 0028388187 scopus 로고
    • Geometric statistics in turbulence
    • Constantin, P.: Geometric statistics in turbulence. SIAM Rev.,36, 73-98 (1994)
    • (1994) SIAM Rev. , vol.36 , pp. 73-98
    • Constantin, P.1
  • 5
    • 21844522201 scopus 로고
    • Onsager's conjecture energy conservation for solutions of Euler's equation
    • Constantin, P., Weinan E., Titi, E.S.: Onsager's conjecture energy conservation for solutions of Euler's equation. Commun. Math. Phys. 165, 207-209 (1994)
    • (1994) Commun. Math. Phys. , vol.165 , pp. 207-209
    • Constantin, P.1    Weinan, E.2    Titi, E.S.3
  • 6
    • 0000646280 scopus 로고
    • Direction of vorticity and the problem of global regularity for the Navier-Stokes equations
    • Constantin, P. , Fefferman, C.: Direction of vorticity and the problem of global regularity for the Navier-Stokes equations. Indiana U. Math. J. 42, 775-789 (1994)
    • (1994) Indiana U. Math. J. , vol.42 , pp. 775-789
    • Constantin, P.1    Fefferman, C.2
  • 7
    • 0002205604 scopus 로고
    • Energy dissipation without viscosity in ideal hydrodynamics. 1. Fourier analysis and local energy transfer
    • Eyink, G.: Energy dissipation without viscosity in ideal hydrodynamics. 1. Fourier analysis and local energy transfer. Physica D 78, 222-240 (1994)
    • (1994) Physica D , vol.78 , pp. 222-240
    • Eyink, G.1
  • 8
    • 21844489943 scopus 로고
    • Besov spaces and the multifractal hypothesis
    • Eyink, G.: Besov spaces and the multifractal hypothesis. J. Stat. Phys. 78 353-375 (1995)
    • (1995) J. Stat. Phys. , vol.78 , pp. 353-375
    • Eyink, G.1
  • 9
    • 0001816154 scopus 로고
    • On the singularity structure of fully developed turbulence
    • M. Ghil, R. Benzi, and G. Parisi, editors, Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics. Amsterdam: North-Holland
    • Frisch, U., Parisi, G.: On the singularity structure of fully developed turbulence. In M. Ghil, R. Benzi, and G. Parisi, editors, Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics. Proc. Internatial Summer School of Physics "Enrico Fermi", Amsterdam: North-Holland, 1985, pp. 84-87
    • (1985) Proc. Internatial Summer School of Physics "Enrico Fermi" , pp. 84-87
    • Frisch, U.1    Parisi, G.2
  • 10
    • 0000665785 scopus 로고
    • Turbulence of a cducting fluid in a strong magnetic field
    • Iroshnikov, P.S.: Turbulence of a cducting fluid in a strong magnetic field. Soviet Astromy 7, 566-571 (1964)
    • (1964) Soviet Astromy , vol.7 , pp. 566-571
    • Iroshnikov, P.S.1
  • 11
    • 33644799466 scopus 로고
    • Inertial range spectrum in hydromagnetic turbulence
    • Kraichnan, R.H.: Inertial range spectrum in hydromagnetic turbulence. Physics of Fluids A 8, 1385-1387 (1965.)
    • (1965) Physics of Fluids A , vol.8 , pp. 1385-1387
    • Kraichnan, R.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.