Self-Similar Solutions of the Compressible Flow in One-Space Dimension

Tailong Li, Ping Chen and Jian Xie

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:194704

DOI: 10.1155/2013/194704

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