Static Self-gravitating Newtonian Elastic Balls
| Autor: | Simone Calogero, Artur Alho |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Earth and Planetary Astrophysics (astro-ph.EP)
Physics Dynamical systems theory Mechanical Engineering 010102 general mathematics Constitutive equation Complex system FOS: Physical sciences Mathematical Physics (math-ph) General Relativity and Quantum Cosmology (gr-qc) 16. Peace & justice 01 natural sciences General Relativity and Quantum Cosmology 010101 applied mathematics symbols.namesake Mathematics (miscellaneous) Classical mechanics Hadamard transform Newtonian fluid Euler's formula symbols 0101 mathematics Mathematical Physics Analysis Astrophysics - Earth and Planetary Astrophysics |
| Zdroj: | Archive for Rational Mechanics and Analysis. 238:639-669 |
| ISSN: | 1432-0673 0003-9527 |
| DOI: | 10.1007/s00205-020-01551-1 |
| Popis: | 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. 30 pages, 2 figures. The order of presentation of the results and the notation have been changed considerably to improve the reading flow of the article. Some assumptions and theorems have been reformulated in a more clear way and several new remarks have been added |
| Databáze: | OpenAIRE |
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