Generic behaviour of nonlinear sound waves near the surface of a star: smooth solutions

Details Generic behaviour of nonlinear sound waves near the surface of a star: smooth solutions Generic behaviour of nonlinear sound waves near the surface of a star: smooth solutions

2009-01-30

arxiv.org/abs/0901.4928v2

Phys.Rev.D79:067501,2009; Erratum-ibid.D79:089901,2009

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

Eqs. 28 and 29 corrected to reflect erratum submitted to PRD

Scientific paper

10.1103/PhysRevD.79.067501

We are interested in the generic behaviour of nonlinear sound waves as they approach the surface of a star, here assumed to have the polytropic equation of state $P=K\rho^\Gamma$. Restricting to spherical symmetry, and considering only the region near the surface, we generalise the methods of Carrier and Greenspan (1958) for the shallow water equations on a sloping beach to this problem. We give a semi-quantitative criterion for a shock to form near the surface during the evolution of generic initial data with support away from the surface. We show that in smooth solutions the velocity and the square of the sound speed remain regular functions of Eulerian radius at the surface.

Affiliated with

Also associated with

No associations

Rating

Generic behaviour of nonlinear sound waves near the surface of a star: smooth solutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generic behaviour of nonlinear sound waves near the surface of a star: smooth solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generic behaviour of nonlinear sound waves near the surface of a star: smooth solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425252