SEMINAIRE D'ANALYSE NUMERIQUE
Année universitaire 2012-2013
Jeudi 4 avril 2013 :
Simone CALOGERO
(Université de Grenade)
Ground states of self-gravitating elastic bodies
In this talk I will detail the proof of existence of static, self-gravitating elastic bodies in the non-linear theory of elasticity.
Equilibrium configurations of self-gravitating elastic bodies close to the reference configuration
have been constructed by Beig and Schmidt (2003) using the implicit function theorem. In contrast, the steady states considered
in this talk correspond to deformations of the relaxed state with no size restriction and are obtained
as minimizers of the energy functional of the elastic body.
