Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations
نویسندگان
چکیده
منابع مشابه
Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations
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. 1. Incompressible Euler equations Let (M, g) be a C compact oriented Riemannian 2-manifold with smooth boundary ...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2001
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(00)00190-7