Free boundary value problem of the one-dimensional model of polytropic ideal gas
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In this paper the free boundary value problem of the one-dimensional model of polytropic ideal gas is discussed. Under some smallness assumption on the initial data, the global weak solution of our problem is obtained. Furthermore the solution decays inL ∞-sense as time goes to infinity (Theorem 2.1).
Key wordsone-dimensional polytropic ideal gas free boundary value problem global weak solution decay of solution line method
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