On the motion of a compact elastic body

Autor(en)

Robert Beig, Michael Wernig-Pichler

Abstrakt

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(en)

Gravitationsphysik

Journal

Communications in Mathematical Physics

Band

271

Seiten

455-465

Anzahl der Seiten

11

ISSN

0010-3616

DOI

https://doi.org/10.1007/s00220-007-0205-7

Publikationsdatum

2007

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/36eb8467-a192-441e-97f7-65c780d379f8