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Volumn 3, Issue 3, 2004, Pages 353-366

Global existence and regularity for the Lagrangian averaged Navier-Stokes equations with initial data in H1/2

Author keywords

Concentration mapping; Extensions of operators; Integral equations; Lagrangian averaged Navier Stokes

Indexed keywords


EID: 24944498105     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2004.3.353     Document Type: Article
Times cited : (3)

References (7)
  • 1
    • 0242376034 scopus 로고    scopus 로고
    • Global well-posedness of weak solutions for the Lagrangian-averaged Navier-Stokes equations on bounded domains
    • D. Coutand, J. Peirce and S. Shkoller, Global well-posedness of weak solutions for the Lagrangian-averaged Navier-Stokes equations on bounded domains, Comm. Pure Appl. Anal., 1 (2002), 35-50.
    • (2002) Comm. Pure Appl. Anal. , vol.1 , pp. 35-50
    • Coutand, D.1    Peirce, J.2    Shkoller, S.3
  • 2
    • 0343513577 scopus 로고    scopus 로고
    • The three dimensional viscous Camassa-Holm equations and their relation to the Navier-Stokes equations and turbulence theory
    • to appear
    • C. Foias, D.D. Holm and E.S. Titi, The three dimensional viscous Camassa-Holm equations and their relation to the Navier-Stokes equations and turbulence theory, J. Dyn. Diff. Eq., (1999), to appear.
    • (1999) J. Dyn. Diff. Eq.
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 3
    • 0001971504 scopus 로고    scopus 로고
    • The Euler-Poincaré equations and semidirect products with applications to continuum theories
    • D.D. Holm, J.E. Marsden and T.S. Ratiu, The Euler-Poincaré equations and semidirect products with applications to continuum theories, Adv. Math., 137 (1998), 1-81.
    • (1998) Adv. Math. , vol.137 , pp. 1-81
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 5
    • 0038111248 scopus 로고    scopus 로고
    • Global well-posedness for the LANS-α equations on bounded domains
    • J.E. Marsden and S. Shkoller, Global well-posedness for the LANS-α equations on bounded domains, Phil.Trans. Soc. London, 359 (2001), 1449-1468.
    • (2001) Phil.Trans. Soc. London , vol.359 , pp. 1449-1468
    • Marsden, J.E.1    Shkoller, S.2
  • 6
    • 0000494126 scopus 로고    scopus 로고
    • Analysis on groups of diffeomorphisms of manifolds with boundary and the averaged motion of a fluid
    • S. Shkoller, Analysis on groups of diffeomorphisms of manifolds with boundary and the averaged motion of a fluid, J. Differential Geometry, 55 (2000), 145-191.
    • (2000) J. Differential Geometry , vol.55 , pp. 145-191
    • Shkoller, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.