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

Tailong Li | Zendy; Ping Chen | Zendy; Jian Xie | Zendy

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

Author(s) -

Tailong Li,

Ping Chen,

Jian Xie

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/194704

Subject(s) - isentropic process , compressibility , compressible flow , mathematics , kinetic energy , viscosity , space (punctuation) , flow (mathematics) , dimension (graph theory) , entropy (arrow of time) , mathematical analysis , physics , classical mechanics , thermodynamics , geometry , linguistics , philosophy , pure mathematics

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 transportequation of entropy. These results generalize those in Guo and Jiang's work (2006) where the one-dimensional compressible fluids with constant viscosity are considered

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