Free boundary value problems for equations of one-dimensional motion of compressible viscous fluids
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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 wordsasymptotic solution decay rate barotropic gas ideal polytropic gas energy method a priori estimate
- L. D. Landau and M. Lifshitz, Fluid Mechanics. Pergamon Press, Oxford, 1959.Google Scholar