메뉴 건너뛰기




Volumn 12, Issue 5, 2005, Pages 881-886

Remarks on regularities for the 3D MHD equations

Author keywords

A priori estimates; MHD equations; Regularity criterion

Indexed keywords


EID: 18144379863     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.12.881     Document Type: Article
Times cited : (239)

References (11)
  • 1
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • J.T. Beale, T. Kato and A. Majda, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Comm. Math. Phys. 94 (1984), no. 1, 61-66.
    • (1984) Comm. Math. Phys. 94 , Issue.1 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 3
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • L. Caffarelli, R. Kohn and L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 35 (1982), 771-831.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 4
    • 0031489424 scopus 로고    scopus 로고
    • Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
    • R. Caflisch, I. Klapper and G. Steele, Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD, Comm. Math. Phys. 184 (1997), no. 2, 443-455.
    • (1997) Comm. Math. Phys. , vol.184 , Issue.2 , pp. 443-455
    • Caflisch, R.1    Klapper, I.2    Steele, G.3
  • 5
    • 84990557281 scopus 로고
    • Some mathematical questions related to the MHD equations
    • M. Sermange and R. Temam, Some mathematical questions related to the MHD equations, Comm. Pure Appl. Math. 36 (1983), no. 5, 635-664.
    • (1983) Comm. Pure Appl. Math. , vol.36 , Issue.5 , pp. 635-664
    • Sermange, M.1    Temam, R.2
  • 6
    • 0000169262 scopus 로고
    • On the interior regularity of weak solutions of the Navier-Stokes equations
    • J. Serrin, On the interior regularity of weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal. 9 (1962), 187-195.
    • (1962) Arch. Rational Mech. Anal. , vol.9 , pp. 187-195
    • Serrin, J.1
  • 7
    • 0003201639 scopus 로고
    • Singular integrals and differentiability properties of functions
    • Princeton University Press, Princeton, N.J.
    • E. M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30 Princeton University Press, Princeton, N.J. (1970).
    • (1970) Princeton Mathematical Series , vol.30
    • Stein, E.M.1
  • 8
    • 0042865275 scopus 로고    scopus 로고
    • Analytic results related to magneto-hydrodynamic turbulence
    • J. Wu, Analytic results related to magneto-hydrodynamic turbulence, Phys. D 136 (2000), no. 3-4, 353-372.
    • (2000) Phys. D , vol.136 , Issue.3-4 , pp. 353-372
    • Wu, J.1
  • 9
    • 0042733654 scopus 로고    scopus 로고
    • Bounds and new approaches for the 3D MHD equations
    • J. Wu, Bounds and new approaches for the 3D MHD equations, J. Nonlinear Sci. 12 (2002), no. 4, 395-413.
    • (2002) J. Nonlinear Sci. , vol.12 , Issue.4 , pp. 395-413
    • Wu, J.1
  • 10
    • 2142704246 scopus 로고    scopus 로고
    • Regularity results for weak solutions of the 3D MHD equations
    • J. Wu, Regularity results for weak solutions of the 3D MHD equations, Discrete Contin. Dynam. Systems 10 (2004), no. 1-2, 543-556.
    • (2004) Discrete Contin. Dynam. Systems , vol.10 , Issue.1-2 , pp. 543-556
    • Wu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.