On the motion of a compact elastic body

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We study the problem of motion of a relativistic, ideal elastic solid with free surface boundary by casting the equations in material form ("Lagrangian coordinates"). By applying a basic theorem due to Koch, we prove short-time existence and uniqueness for solutions close to a trivial solution. This trivial, or natural, solution corresponds to a stress-free body in rigid motion.
12 pages, with slight corrections, to be published in Commun.Math.Phys

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/182457

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0508025
 http://arxiv.org/abs/gr-qc/0508025
 Commun.Math.Phys.271:455-465,2007
 doi:10.1007/s00220-007-0205-7

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