Abstract
We consider a non-isentropic Euler-Poisson system with two small parameters arising in the modeling of unmagnetized plasmas and semiconductors. On the basis of the energy estimates and the compactness theorem, the uniform global existence of the solutions and the combined quasi-neutral and zero-electron-mass limit of the system are proved when the initial data are close to the constant equilibrium state. In particular, the limit is rigorously justified as the two parameters tend to zero independently.
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Acknowledgements
Part of this work was supported by the School of Mathematics, Fudan university, in 2020. The authors would like to thank Associate Prof. Libin Wang for her kind invitation and warm hospitality.
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The research is partially supported by the ISF-NSFC joint research program (11761141008), NSFC (12071044 and 12131007) and the NSF of Jiangsu Province (BK20191296).
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Yang, Y., Ju, Q. & Zhou, S. The Global Combined Quasi-Neutral and Zero-Electron-Mass Limit of Non-Isentropic Euler-Poisson Systems. Acta Math Sci 42, 1666–1680 (2022). https://doi.org/10.1007/s10473-022-0422-3
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DOI: https://doi.org/10.1007/s10473-022-0422-3
Key words
- Non-isentropic Euler-Poisson system
- global smooth solutions
- uniform energy estimates
- global convergence
- compactness