Static Self-gravitating Newtonian Elastic Balls
Journal article, 2020

The existence of static self-gravitating Newtonian elastic balls is proved under general assumptions on the constitutive equations of the elastic material. The proof uses methods from the theory of finite-dimensional dynamical systems and the Euler formulation of elasticity theory for spherically symmetric bodies introduced recently by the authors. Examples of elastic materials covered by the results of this paper are Saint Venant–Kirchhoff, John and Hadamard materials.


Artur Alho

University of Lisbon

Simone Calogero

Chalmers, Mathematical Sciences, Analysis and Probability Theory

Archive for Rational Mechanics and Analysis

0003-9527 (ISSN) 1432-0673 (eISSN)

Vol. 238 2 639-669

Subject Categories

Algebra and Logic

Applied Mechanics

Mathematical Analysis



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