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Volumn 21, Issue 1, 2011, Pages 1-13

Eventual regularity of the solutions to the supercritical dissipative quasi-geostrophic equation

Author keywords

Quasi geostrophic equation; Regularization; Supercritical dissipation; Test class evolution

Indexed keywords


EID: 79751532095     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-011-0108-9     Document Type: Article
Times cited : (68)

References (10)
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    • Caffarelli, L.1    Vasseur, A.2
  • 2
    • 0002223508 scopus 로고    scopus 로고
    • On the critical dissipative quasigeostrophic equation
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    • [CoCW] P. Constantin, D. Cordoba, J. Wu, On the critical dissipative quasigeostrophic equation, Indiana Univ. Math. J. 50 (2001), 97-107.
    • (2001) Indiana Univ. Math. J , vol.50 , pp. 97-107
    • Constantin, P.1    Cordoba, D.2    Wu, J.3
  • 3
    • 54549116855 scopus 로고    scopus 로고
    • Regularity of Ḧolder continuous solutions of the supercritical quasi-geostrophic equation
    • [CoW]
    • [CoW] P. Constantin, J. Wu, Regularity of Ḧolder continuous solutions of the supercritical quasi-geostrophic equation, Ann. Inst. H. Poincaŕe Anal. Non Lineaire 25 (2008), 1103-1110.
    • (2008) Ann. Inst. H. Poincaŕe Anal. Non Lineaire , vol.25 , pp. 1103-1110
    • Constantin, P.1    Wu, J.2
  • 4
    • 4544377751 scopus 로고    scopus 로고
    • A maximum principle applied to quasi-geostrophic equations
    • [CorC]
    • [CorC] A. Cordoba, D. Cordoba, A maximum principle applied to quasi-geostrophic equations, Commum. Math. Phys. 249 (2004), 511-528.
    • (2004) Commum. Math. Phys , vol.249 , pp. 511-528
    • Cordoba, A.1    Cordoba, D.2
  • 6
    • 79952185180 scopus 로고    scopus 로고
    • Regularity and blow up for active scalars
    • [Ki] preprint; math.AP/1009.0540
    • [Ki] A. Kiselev, Regularity and blow up for active scalars, preprint; math.AP/1009.0540
    • Kiselev, A.1
  • 7
    • 79956352191 scopus 로고    scopus 로고
    • A variation on a theme of Caffarelli and Vasseur
    • [KiN]
    • [KiN] A. Kiselev, F. Nazarov, A variation on a theme of Caffarelli and Vasseur, Zap. Nauchn. Sem. POMI 370 (2009), 58-72.
    • (2009) Zap. Nauchn. Sem. POMI , vol.370 , pp. 58-72
    • Kiselev, A.1    Nazarov, F.2
  • 8
    • 33846785446 scopus 로고    scopus 로고
    • Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
    • [KiNV]
    • [KiNV] A. Kiselev, F. Nazarov, A. Volberg, Global well-posedness for the critical 2D dissipative quasi-geostrophic equation, Inventiones Math. 167 (2007), 445-453.
    • (2007) Inventiones Math , vol.167 , pp. 445-453
    • Kiselev, A.1    Nazarov, F.2    Volberg, A.3
  • 9
    • 76849110369 scopus 로고    scopus 로고
    • Eventual regularization for the slightly supercritical quasigeostrophic equation
    • [S]
    • [S] L. Silvestre, Eventual regularization for the slightly supercritical quasigeostrophic equation, Ann. Inst. H. Poincaŕe Anal. Non Lineaire 27 (2010), 693-704.
    • (2010) Ann. Inst. H. Poincaŕe Anal. Non Lineaire , vol.27 , pp. 693-704
    • Silvestre, L.1
  • 10
    • 0004136765 scopus 로고
    • [St] Princeton University Press
    • [St] E. Stein, Harmonic Analysis. Princeton University Press, 1993.
    • (1993) Harmonic Analysis
    • Stein, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.