Self-Similar Solutions of the Compressible Flow in One-Space Dimension
Joint Authors
Chen, Ping
Li, Tailong
Xie, Jian
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-30
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
For the isentropic compressible fluids in one-space dimension, we prove that the Navier-Stokes equations with density-dependent viscosity have neither forward nor backward self-similar strong solutions with finite kinetic energy.
Moreover, we obtain the same result for the nonisentropic compressible gas flow, that is, for the fluid dynamics of the Navier-Stokes equations coupled with a transport equation of entropy.
These results generalize those in Guo and Jiang's work (2006) where the one-dimensional compressible fluids with constant viscosity are considered.
American Psychological Association (APA)
Li, Tailong& Chen, Ping& Xie, Jian. 2013. Self-Similar Solutions of the Compressible Flow in One-Space Dimension. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-453538
Modern Language Association (MLA)
Li, Tailong…[et al.]. Self-Similar Solutions of the Compressible Flow in One-Space Dimension. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-453538
American Medical Association (AMA)
Li, Tailong& Chen, Ping& Xie, Jian. Self-Similar Solutions of the Compressible Flow in One-Space Dimension. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-453538
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453538