Inverse Piston Problem for the System ofOne-Dimensional Isentropic Flow

Tatsien Li , Libin Wang

Chinese Annals of Mathematics, Series B ›› 2007, Vol. 28 ›› Issue (3) : 265 -282.

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Chinese Annals of Mathematics, Series B ›› 2007, Vol. 28 ›› Issue (3) : 265 -282. DOI: 10.1007/s11401-006-0423-x
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Inverse Piston Problem for the System ofOne-Dimensional Isentropic Flow

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Abstract

In this paper, the authors consider the inverse piston problem for the systemof one-dimensional isentropic flow and obtain that, under suitable conditions, the pistonvelocity can be uniquely determined by the initial state of the gas on the right side of thepiston and the position of the forward shock.

Keywords

Inverse piston problem / System of one-dimensional isentropic flow / Shock / 35L45 / 35L60 / 35R30 / 74J40

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Tatsien Li, Libin Wang. Inverse Piston Problem for the System ofOne-Dimensional Isentropic Flow. Chinese Annals of Mathematics, Series B, 2007, 28(3): 265-282 DOI:10.1007/s11401-006-0423-x

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