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...

### Authors

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Publication date:
1999-08-19
URN:
uuid:91c61f4c-1296-4319-8e60-3f2c81518588
Source identifiers:
407492
Local pid:
pubs:407492
Keywords: