On the Motion of a Compact Elastic Body

@article{Beig2007OnTM,
  title={On the Motion of a Compact Elastic Body},
  author={Robert Beig and Michael Wernig-Pichler},
  journal={Communications in Mathematical Physics},
  year={2007},
  volume={271},
  pages={455-465}
}
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. 

References

Publications referenced by this paper.
SHOWING 1-10 OF 15 REFERENCES

Nonlinear hyperbolic systems and elastodynamics

T Sideris
  • 2004
VIEW 1 EXCERPT

Relativistic elasticity Class

R Beig, B GSchmidt
  • Quantum Grav
  • 2003
VIEW 3 EXCERPTS

Quantitative Seismology (Sausolito: University Science Books

K Aki, P GRichards
  • 2002
VIEW 1 EXCERPT