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
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
Journal title :
Applied Mathematics Letters
