On the outer pressure problem of the one-dimensional polytropic ideal gas

On the outer pressure problem of the one-dimensional polytropic ideal gas
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DOI:
10.1007/bf03167901
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发表时间:
1988-02
期刊:
Japan Journal of Applied Mathematics
影响因子:
--
通讯作者:
Takeyuki Nagasawa
Takeyuki Nagasawa
中科院分区:
其他
文献类型:
--
作者:
Takeyuki Nagasawa

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本文证明了一维多方理想气体外压问题整体解的存在性(定理1)。在适当的假设下,我们还将研究解到定态的收敛性(定理2)和收敛速度(定理3)。
In this paper the existence of the global solution of the outer pressure problem of the one-dimensional polytropic ideal gas is proved (Theorem 1). We shall also investigate, under some suitable assumptions, the convergence of the solution to a stationary state (Theorem 2), and the rate of its convergene (Theorem 3).