On the Motion of a Compact Elastic Body |
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Authors: | Robert Beig Michael Wernig-Pichler |
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Institution: | 1.Institut für Theoretische Physik der,Universit?t Wien,Vienna,Austria |
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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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