Remarks on Self-Similar Solutions to the Compressible Navier-Stokes Equations of a 1D Viscous Polytropic Ideal Gas
نویسندگان
چکیده
This paper is concerned with the self-similar solutions to the compressible Navier-Stokes equations of a 1D viscous polytropic ideal gas. Our results show that there exist neither forward nor backward selfsimilar solutions with finite total energy, which generalizes the results for the case of the isothermal compressible Navier-Stokes equations in Z. Guo and S. Jiang (Self-similar solutions to the isothermal compressible Navier-Stokes, IMA J. Appl. Math. (2006)71, 658-669).
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