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- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Springer Science+Business Media Dordrecht
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/s10440-015-0038-x
- Publisher site
- See Article on Publisher Site
Abstract
This paper is concerned with the free boundary value problem (FBVP) for the spherically symmetric barotropic compressible Navier-Stokes equations (CNS) with density-dependent viscosity coefficients in the case that across the free surface stress tensor is balanced by a nonconstant exterior pressure. Under certain assumptions imposed on the initial data, we show that there exists a unique global strong solution which is strictly positive for any finite time and decays pointwise to zero time-asymptotically.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jan 18, 2016