Local Well-Posedness of Dynamics of Viscous Gaseous Stars

Details Local Well-Posedness of Dynamics of Viscous Gaseous Stars Local Well-Posedness of Dynamics of Viscous Gaseous Stars

2007-06-12

arxiv.org/abs/0706.1605v1

Mathematics

Analysis of PDEs

49 pages

Scientific paper

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 $\gamma>{6/5}$.

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