Paper Info
Title
Stress and heat flux stabilization for viscous compressible medium equations with a nonmonotone state function
Abstract
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 discontinuity of the stationary solution, we prove L2-stabilization for the stress and heat flux as t → ∞ along with corresponding global energy estimates for them. The new method of proof utilizes a combination of energy type equalities for the stress and heat flux. Consequently, H1-stabilization of the velocity and temperature along with global estimates for their derivatives are valid as well.
Year
DOI
Venue
2003
10.1016/S0893-9659(03)90122-4
Applied Mathematics Letters
Keywords
Field
DocType
The large-time behavior,Viscous compressible medium equations,Nonmonotone equation of state,Large data
Heat flux,Mathematical analysis,Discontinuity (linguistics),Viscosity,Initial value problem,Heat equation,Compressible flow,Asymptotic analysis,Mathematics,Arbitrarily large
Journal
Volume
Issue
ISSN
16
8
0893-9659
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
A.A. Zlotnik135.79