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Generic behavior of nonlinear sound waves near the surface of a star: Smooth solutions

Abstract:

We are interested in the generic behavior of nonlinear sound waves as they approach the surface of a star, here assumed to have the polytropic equation of state P=KρΓ. Restricting to spherical symmetry, and considering only the region near the surface, we generalize the methods of Carrier and Greenspan (1958) for the shallow water equations on a sloping beach to this problem. We give a semiquantitative criterion for a shock to form near the surface during the evolution of generic initial data...

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Publication status:
Published

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Publisher copy:
10.1103/PhysRevD.79.067501

Authors


Gundlach, C More by this author
Journal:
PHYSICAL REVIEW D
Volume:
79
Issue:
6
Publication date:
2009-03-05
DOI:
EISSN:
1550-2368
ISSN:
1550-7998
URN:
uuid:78984444-0c59-4e27-8435-30927c0c41a6
Source identifiers:
357218
Local pid:
pubs:357218
Language:
English

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