• Title of article

    Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations Original Research Article

  • Author/Authors

    S. Shkoller، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    5
  • From page
    539
  • To page
    543
  • Abstract
    We present a very simple proof of the global existence of a C∞ Lagrangian flow map for the 2D Euler and second-grade fluid equations (on a compact Riemannian manifold with boundary) which has C∞ dependence on initial data u0 in the class of Hs divergence-free vector fields for s > 2.
  • Keywords
    Euler equations , Second-grade fluids , Global regularity , Diffeomorphism groups , Lagrangian flow
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2001
  • Journal title
    Applied Mathematics Letters
  • Record number

    897214