Free boundary value problems for equations of one-dimensional motion of compressible viscous fluids

  • Mari Okada


The global solution in time of the free boundary value problem, which is obtained by Kazhikhov, approaches some asymptotic solution at a decay rate oft −α att→∞, where α is a small positive constant, on the “smallness conditions” of the initial data and γ−1.

Key words

asymptotic solution decay rate barotropic gas ideal polytropic gas energy method a priori estimate 


  1. [1]
    A. V. Kazhikhov, Sur la solubilité globale des problème monodimensionnelle aux valeurs initiales-limitées pour les équations du gaz visqueux et calorifère. C. R. Acad. Sci. Paris,284 (1977), Ser. A, 317–320.MATHGoogle Scholar
  2. [2]
    L. D. Landau and M. Lifshitz, Fluid Mechanics. Pergamon Press, Oxford, 1959.Google Scholar

Copyright information

© JJAM Publishing Committee 1987

Authors and Affiliations

  • Mari Okada
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceKyoto UniversityKyotoJapan

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