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Cocycles, compatibility, and Poisson brackets for complex fluids

Cendra, Hernán and Marsden, Jerrold and Ratiu, Tudor S. (2003) Cocycles, compatibility, and Poisson brackets for complex fluids. In: Advances in Multifield Theories for Continua with Substructure. Modeling and Simulation in Science, Engineering & Technology. , Boston, pp. 51-73. ISBN 0817643249 http://resolver.caltech.edu/CaltechAUTHORS:20100727-141455241

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Abstract

Motivated by Poisson structures for complex fluids containing cocycles, such as the Poisson structure for spin glasses given by Holm and Kupershmidt in 1988, we investigate a general construction of Poisson brackets with cocycles. Connections with the construction of compatible brackets found in the theory of integrable systems are also briefly discussed.


Item Type:Book Section
Additional Information:© 2003. Dedicated to Alan Weinstein on the Occasion of his 60th Birthday Vienna, August, 2003. We are grateful to Larry Bates, Darryl Holm, and Hans-Christian Öttinger for helpful comments. Departamento de Matemática, Universidad Nacional del Sur, Av. Alem 1254, 8000 Bahia Blanca and CONICET, Argentina. uscendra@criba.edu.ar. Research partially supported by the EPFL. Control and Dynamical Systems, California Institute of Technology, Pasadena CA 91125. USA. marsden@cds.caltech.edu. Research partially supported by NSF grant DMS-0204474. Département de Mathématiques, École Polytechnique Fédérale de Lausanne. CH–1015 Lausanne. Switzerland. Tudor.Ratiu@epfl.ch. Research partially supported by the European Commission and the Swiss Federal Government through funding for the Research Training Network Mechanics and Symmetry in Europe (MASIE) as well as the Swiss National Science Foundation.
Funders:
Funding AgencyGrant Number
EPFLUNSPECIFIED
NSFDMS-0204474
European CommissionUNSPECIFIED
Swiss Federal GovernmentUNSPECIFIED
Mechanics and Symmetry in Europe (MASIE)UNSPECIFIED
Swiss National Science FoundationUNSPECIFIED
Classification Code:MSC: 58F05; 76A99
Record Number:CaltechAUTHORS:20100727-141455241
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20100727-141455241
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19202
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:27 Jul 2010 23:30
Last Modified:26 Dec 2012 12:16

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