On the motion of a compact elastic body
- Author(s)
- Robert Beig, Michael Wernig-Pichler
- 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.
- Organisation(s)
- Gravitational Physics
- Journal
- Communications in Mathematical Physics
- Volume
- 271
- Pages
- 455-465
- No. of pages
- 11
- ISSN
- 0010-3616
- DOI
- https://doi.org/10.1007/s00220-007-0205-7
- Publication date
- 2007
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103036 Theoretical physics
- Portal url
- https://ucrisportal.univie.ac.at/en/publications/on-the-motion-of-a-compact-elastic-body(36eb8467-a192-441e-97f7-65c780d379f8).html