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

Authors
Shkoller, S
Citation
S. Shkoller, Smooth global Lagrangian flow for the 2D Euler and second-grade fluid equations, APPL MATH L, 14(5), 2001, pp. 539-543
Citations number
8
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS LETTERS
ISSN journal
08939659 → ACNP
Volume
14
Issue
5
Year of publication
2001
Pages
539 - 543
Database
ISI
SICI code
0893-9659(200107)14:5<539:SGLFFT>2.0.ZU;2-V
Abstract
We present a very simple proof of the global existence of a C-infinity Lang rangian flow map for the 2D Eular and second-grade fluid equations (on a co mpact Riemannian manifold with boundary) which has C-infinity dependence on initial data u(0) in the class of H-s divergence-free vector fields for s > 2. (C) Elsevier Science Ltd. All rights reserved.