Skip to main content
Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations
Published Web Location
https://arxiv.org/pdf/math/0007027.pdfNo data is associated with this publication.
Abstract
We present a very simple proof of the global existence of a $C^\infty$ Lagrangian flow map for the 2D Euler and second-grade fluid equations (on a compact Riemannian manifold with boundary) which has $C^\infty$ dependence on initial data $u_0$ in the class of $H^s$ divergence-free vector fields for $s>2$.