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  Dynamical elastic bodies in Newtonian gravity

Andersson, L., Oliynyk, T. A., & Schmidt, B. G. (2011). Dynamical elastic bodies in Newtonian gravity. Classical and quantum gravity, 28: 235006. doi:10.1088/0264-9381/28/23/235006.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EA1B-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-49B8-F
Genre: Journal Article

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1106.3879 (Preprint), 343KB
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 Creators:
Andersson, Lars1, Author              
Oliynyk, Todd A., Author
Schmidt, Bernd G.1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Well-posedness for the initial value problem for a self-gravitating elastic body with free boundary in Newtonian gravity is proved. In the material frame, the Euler-Lagrange equation becomes, assuming suitable constitutive properties for the elastic material, a fully non-linear elliptic-hyperbolic system with boundary conditions of Neumann type. For systems of this type, the initial data must satisfy compatibility conditions in order to achieve regular solutions. Given a relaxed reference configuration and a sufficiently small Newton's constant, a neigborhood of initial data satisfying the compatibility conditions is constructed.

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 Dates: 2011-06-202011
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1106.3879
DOI: 10.1088/0264-9381/28/23/235006
URI: http://arxiv.org/abs/1106.3879
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 28 Sequence Number: 235006 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1