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Un-reduction in field theory
Alexis Arnaudon1, Marco Castrillón López2, Darryl D Holm1
11Department of Mathematics, Imperial College, London, SW7 2AZ UK.
Abstract:
The un-reduction procedure introduced previously in the context of classical mechanics is extended to covariant field theory. The new covariant un-reduction procedure is applied to the problem of shape matching of images which depend on more than one independent variable (for instance, time and an additional labelling parameter). Other possibilities are also explored: nonlinear [Formula: see text]-models and the hyperbolic flows of curves.
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