Abstract
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.
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References
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.
L. D. Landau and M. Lifshitz, Fluid Mechanics. Pergamon Press, Oxford, 1959.
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Okada, M. Free boundary value problems for equations of one-dimensional motion of compressible viscous fluids. Japan J. Appl. Math. 4, 219 (1987). https://doi.org/10.1007/BF03167775
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DOI: https://doi.org/10.1007/BF03167775