Journal article

On Incompressible Averaged Lagrangian Hydrodynamics

Abstract:

This paper is devoted to the geometric analysis of the incompressible averaged Euler equations on compact Riemannian manifolds with boundary. The equation also coincides with the model for a second-grade non-Newtonian fluid. We study the analytical and geometrical properties of the Lagrangian flow map. We prove existence and uniqueness of smooth-in-time solutions for initial data in $H^s$, $s > n/2 +1$ by establishing the existence of smooth geodesics of a new weak right invariant metric o...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publication date:
1999-08-19
Source identifiers:
407492
Keywords:
Pubs id:
pubs:407492
UUID:
uuid:91c61f4c-1296-4319-8e60-3f2c81518588
Local pid:
pubs:407492
Deposit date:
2013-11-16