학술저널
GLOBAL VORTICITY EXISTENCE OF A PERFECT INCOMPRESSIBLE FLUID IN B01;1(R2) \ Lp(R2)
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 23, No. 2
-
2010.06271 - 277 (7 pages)
- 2
We prove the global (in time) vorticity existence for the 2-D Euler equations of a perfect incompressible °uid in B0 1;1(R2)\ Lp(R2) with 1 < p < 2. Moreover, we prove that the particle trajectory map X(x; t) satis¯es the following estimate: for some positive constant CkX§1( ¢; t) ¡ id(¢)kB11;1· CeeCt;where id represents the identity map on R2.
1. Introduction
2. Preliminaries
3. The proofs
Acknowledgements
References
(0)
(0)