On the Motion of a Compact Elastic Body

被引:0
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作者
Robert Beig
Michael Wernig-Pichler
机构
[1] Universität Wien,Institut für Theoretische Physik der
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关键词
Killing Vector; Rigid Motion; Elastic Equation; Material Space; Strong Ellipticity;
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摘要
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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页码:455 / 465
页数:10
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