Local Well-Posedness of Dynamics of Viscous Gaseous Stars
Abstract
We establish the local in time well-posedness of strong solutions to the vacuum free boundary problem of the compressible Navier-Stokes-Poisson system in the spherically symmetric and isentropic motion. Our result captures the physical vacuum boundary behavior of the Lane-Emden star configurations for all adiabatic exponents $\gamma>{6/5}$.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2007
- DOI:
- arXiv:
- arXiv:0706.1605
- Bibcode:
- 2007arXiv0706.1605J
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics;
- 35Q30;
- 76N10;
- 76N15
- E-Print:
- 49 pages