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Analysis and PDE
Volumn 2, Issue 3, 2009, Pages 361-366
GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL HYPERDISSIPATIVE NAVIER–STOKES EQUATION
Author keywords

Energy method; Navier stokes
Indexed keywords

EID: 78650699721     PISSN: 21575045     EISSN: 1948206X     Source Type: Journal    
DOI: 10.2140/apde.2009.2.361     Document Type: Article
Times cited : (162)
References (8)
  • 1
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • [Beale et al. 1984] MR 85j:35154 Zbl 0573.76029
    • [Beale et al. 1984] J. T. Beale, T. Kato, and A. Majda, “Remarks on the breakdown of smooth solutions for the 3-D Euler equations”，Comm. Math. Phys. 94:1 (1984), 61-66. MR 85j:35154 Zbl 0573.76029
    • (1984) Comm. Math. Phys , vol.94 , Issue.1 , pp. 61-66
    • Beale, J. T.1    Kato, T.2    Majda, A.3
  • 2
    • 0000628903 scopus 로고
    • A note on limiting cases of Sobolev embeddings and convolution inequalities
    • [Brézis and Wainger 1980] MR 81k:46028 Zbl 0437.35071
    • [Brézis and Wainger 1980] H. Brézis and S. Wainger, “A note on limiting cases of Sobolev embeddings and convolution inequalities", Comm. Partial Differential Equations 5:7 (1980), 773-789. MR 81k:46028 Zbl 0437.35071
    • (1980) Comm. Partial Differential Equations , vol.5 , Issue.7 , pp. 773-789
    • Brézis, H.1    Wainger, S.2
  • 3
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • [Caffarelli et al. 1982] MR 84m:35097 Zbl 0509.35067
    • [Caffarelli et al. 1982] L. Caffarelli, R. Kohn, and L. Nirenberg, “Partial regularity of suitable weak solutions of the Navier-Stokes equations", Comm. PureAppl. Math. 35:6 (1982), 771-831. MR 84m:35097 Zbl 0509.35067
    • (1982) Comm. PureAppl. Math , vol.35 , Issue.6 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 5
    • 0036435285 scopus 로고    scopus 로고
    • A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation
    • [Katz and Pavlovic 2002] MR 2003e:35243 Zbl 0999.35069
    • [Katz and Pavlovic 2002] N. H. Katz and N. Pavlovic, “A cheap Caffarelli-Kohn-Nirenberg inequality for the Navier-Stokes equation with hyper-dissipation”，Geom. Funct. Anal. 12:2 (2002), 355-379. MR 2003e:35243 Zbl 0999.35069
    • (2002) Geom. Funct. Anal , vol.12 , Issue.2 , pp. 355-379
    • Katz, N. H.1    Pavlovic, N.2
  • 8
    • 34249855088 scopus 로고    scopus 로고
    • Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data
    • [Tao 2007] MR 2009b:35294 Zbl1124.35043
    • [Tao 2007] T. Tao, “Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data”，J. Hyperbolic Differ. Equ. 4:2(2007), 259-265. MR 2009b:35294 Zbl1124.35043
    • (2007) J. Hyperbolic Differ. Equ , vol.4 , Issue.2 , pp. 259-265
    • Tao, T.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.