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GEOMETRICAL METHODS FOR EQUATIONS OF HYDRODYNAMICAL TYPE

JOACHIM ESCHER

Institute for Applied Mathematics, University of Hannover, D-30167 Hannover, Germany

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and

BORIS KOLEV

LATP, CNRS & Aix-Marseille University, 39 Rue F. Joliot-Curie, 13453 Marseille Cedex 13, France

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https://doi.org/10.1142/S140292511240013XCited by:0 (Source: Crossref)

Abstract

We describe some recent results for a class of nonlinear hydrodynamical approximation models where the geometric approach gives insight into a variety of aspects. The main contribution concerns analytical results for Euler equations on the diffeomorphism group of the circle for which the inertia operator is a nonlocal operator.

Keywords:

AMSC: 58D05, 35Q53

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