메뉴 건너뛰기




Volumn 195, Issue 2, 2003, Pages 284-312

Generalized MHD equations

Author keywords

Classical solutions; Generalized MHD equations; Global existence; H lder space; Regularity conditions

Indexed keywords


EID: 0344685563     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jde.2003.07.007     Document Type: Article
Times cited : (331)

References (17)
  • 1
    • 34250136481 scopus 로고
    • Remarks on breakdown of smooth solutions for the 3D Euler equations
    • J.T. Beale, T. Kato, A. Majda, Remarks on breakdown of smooth solutions for the 3D Euler equations, Commun. Math. Phys. 94 (1984) 61-66.
    • (1984) Commun. Math. Phys. , vol.94 , 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, L. Nirenberg, Partial regularity of suitable weak solutions of the Navier - Stokes equations, Commun. Pure Appl. Math. 35 (1982) 771-831.
    • (1982) Commun. 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.E. Caflisch, I. Klapper, G. Steele, Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD, Commun. Math. Phys. 184 (1997) 443-455.
    • (1997) Commun. Math. Phys. , vol.184 , pp. 443-455
    • Caflisch, R.E.1    Klapper, I.2    Steele, G.3
  • 6
    • 0001382341 scopus 로고
    • Navier-Stokes equations and area of interfaces
    • P. Constantin, Navier-Stokes equations and area of interfaces, Commun. Math. Phys. 129 (1990) 241-266.
    • (1990) Commun. Math. Phys. , vol.129 , pp. 241-266
    • Constantin, P.1
  • 7
    • 0028388187 scopus 로고
    • Geometric statistics in turbulence
    • P. Constantin, Geometric statistics in turbulence, SIAM Rev. 36 (1994) 73-98.
    • (1994) SIAM Rev. , vol.36 , pp. 73-98
    • Constantin, P.1
  • 8
    • 0000385525 scopus 로고    scopus 로고
    • Geometric constraints on potentially singular solutions of the 3-D Euler equations
    • P. Constantin, C. Fefferman, A. Majda, Geometric constraints on potentially singular solutions of the 3-D Euler equations, Commun. Partial Differential Equations 21 (1996) 559-571.
    • (1996) Commun. Partial Differential Equations , vol.21 , pp. 559-571
    • Constantin, P.1    Fefferman, C.2    Majda, A.3
  • 9
    • 0015483298 scopus 로고
    • Inequations en thermoelasticite et magnetohydrodynamique
    • G. Duvaut, J.L. Lions, Inequations en thermoelasticite et magnetohydrodynamique, Arch. Rational Mech. Anal. 46 (1972) 241-279.
    • (1972) Arch. Rational Mech. Anal. , vol.46 , pp. 241-279
    • Duvaut, G.1    Lions, J.L.2
  • 10
    • 0039890479 scopus 로고    scopus 로고
    • Singularity formation in a class of stretched solutions of the equations for ideal megneto-hydrodynamics
    • J.D. Gibbon, K. Ohkitani, Singularity formation in a class of stretched solutions of the equations for ideal megneto-hydrodynamics, Nonlinearity 14 (2001) 1239-1264.
    • (2001) Nonlinearity , vol.14 , pp. 1239-1264
    • Gibbon, J.D.1    Ohkitani, K.2
  • 12
    • 22844453762 scopus 로고    scopus 로고
    • An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equation
    • J. Mattingly, Y. Sinai, An elementary proof of the existence and uniqueness theorem for the Navier-Stokes equation, Commun. Contemp. Math. 1 (1999) 497-516.
    • (1999) Commun. Contemp. Math. , vol.1 , pp. 497-516
    • Mattingly, J.1    Sinai, Y.2
  • 14
    • 84990557281 scopus 로고
    • Some mathematical questions related to the MHD equations
    • M. Sermange, R. Temam, Some mathematical questions related to the MHD equations, Commun. Pure Appl. Math. 36 (1983) 635-664.
    • (1983) Commun. Pure Appl. Math. , vol.36 , pp. 635-664
    • Sermange, M.1    Temam, R.2
  • 16
    • 0003887517 scopus 로고
    • North-Holland Publishing Company, Amsterdam
    • R. Temam, Navier-Stokes Equations, North-Holland Publishing Company, Amsterdam, 1979.
    • (1979) Navier-Stokes Equations
    • Temam, R.1
  • 17
    • 0031469762 scopus 로고    scopus 로고
    • Viscous and inviscid magneto-hydrodynamics equations
    • J. Wu, Viscous and inviscid magneto-hydrodynamics equations, J. Anal. Math. 73 (1997) 251-265.
    • (1997) J. Anal. Math. , vol.73 , pp. 251-265
    • Wu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.