• Title of article

    Dynamics of incompressible vector fields Original Research Article

  • Author/Authors

    Tian Ma، نويسنده , , S. Wang، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    4
  • From page
    39
  • To page
    42
  • Abstract
    In this note, we study the structural classification and structural stability of divergence-free vector fields on compact manifolds M ⊂ S2 (or M ⊂ P2, or M ⊂ K2) with or without boundary. The main motivation is to understand the topological and geometrical structure of the Lagrange dynamics of incompressible fluid flows.
  • Keywords
    Divergence-free vector fields , Manifolds with boundary , Poincaré-Bendixson theorem , Structural stability , Structural classifications , Poincaré-Hopf index theorem on manifolds with boundary , Ocean/atmosphere dynamics , Fluid dynamics , Symplectic manifolds
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    1999
  • Journal title
    Applied Mathematics Letters
  • Record number

    896806