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Remark on the stabilization of a viscous barotropic medium with a nonmonotonic equation of state

✍ Scribed by B. Ducomet; A.A. Zlotnik

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
423 KB
Volume
14
Category
Article
ISSN
0893-9659

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✦ Synopsis

We consider the compressible barotropic Navier-Stokes system in one dimension, with a nonmonotonic equation of state. The associated free boundary problem is investigated, and we prove asymptotic properties of the unique globally defined solution for large time.

We also make some comments on a related model of quantum fluid describing the dynamics of cold nuclear matter (zero temperature).

πŸ“œ SIMILAR VOLUMES

Stress and heat flux stabilization for v
Stress and heat flux stabilization for viscous compressible medium equations with a nonmonotone state function
✍ A.A. Zlotnik πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 452 KB

we study a system of quasilinear equations describing one-dimensional flow of a viscous compressible heat-conducting medium with a nonmonotone state function and mass force. The large-time behavior of solutions is considered for arbitrarily large initial data. In spite of possible nonuniqueness and