Abstract
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.
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Communicated by G.W. Gibbons
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Beig, R., Wernig-Pichler, M. On the Motion of a Compact Elastic Body. Commun. Math. Phys. 271, 455–465 (2007). https://doi.org/10.1007/s00220-007-0205-7
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DOI: https://doi.org/10.1007/s00220-007-0205-7