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An Inverse Piston Problem with Small BV Initial Data

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Abstract

In this paper, we consider an inverse piston problem with small BV initial data for the system of one-dimensional adiabatic flow. Suppose that the original state of the gas on the right side of the piston and the position of the forward shock are known, then we can globally solve the inverse piston problem and estimate the speed of the piston in a unique manner.

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Acknowledgements

The authors would like to thank Prof. Tatsien Li for his constant support and encouragement. This work is supported by the National Natural Science Foundation of China, No. 11371095 and No. 11771091.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Libin Wang & Youren Wang

  2. Shanghai Key Laboratory for Contemporary Applied Mathematics, Shanghai, 200433, China

    Libin Wang & Youren Wang

  3. Laboratory of Mathematics for Nonlinear Science, Shanghai, 200433, China

    Libin Wang & Youren Wang

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  1. Libin Wang
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  2. Youren Wang
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Correspondence to Libin Wang.

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Wang, L., Wang, Y. An Inverse Piston Problem with Small BV Initial Data. Acta Appl Math 160, 35–52 (2019). https://doi.org/10.1007/s10440-018-0193-y

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  • DOI: https://doi.org/10.1007/s10440-018-0193-y

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