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On the motion of a compact elastic body

Robert Beig·Michael Wernig-Pichler
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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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Robert Beig, Michael Wernig-Pichler. 2007-02-02. On the motion of a compact elastic body. https://doi.org/10.1007/s00220-007-0205-7

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