THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS

doi:10.1007/s10473-022-0422-3

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (4): 1666-1680.doi: 10.1007/s10473-022-0422-3

THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS

杨永富¹, 琚强昌², 周爽³

1. College of Science, Hohai University, Nanjing, 211100, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China;
3. Chengxi Junior High School, Suzhou, 215128, China

收稿日期:2021-05-26 修回日期:2021-09-17 出版日期:2022-08-25 发布日期:2022-08-23
通讯作者: Yongfu YANG,E-mail:yyang@hhu.edu.cn E-mail:yyang@hhu.edu.cn
基金资助:
The research is partially supported by the ISFNSFC joint research program (11761141008), NSFC (12071044 and 12131007) and the NSF of Jiangsu Province (BK20191296).

THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS

Yongfu YANG¹, Qiangchang JU², Shuang ZHOU³

1. College of Science, Hohai University, Nanjing, 211100, China;
2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China;
3. Chengxi Junior High School, Suzhou, 215128, China

Received:2021-05-26 Revised:2021-09-17 Online:2022-08-25 Published:2022-08-23
Contact: Yongfu YANG,E-mail:yyang@hhu.edu.cn E-mail:yyang@hhu.edu.cn
Supported by:
The research is partially supported by the ISFNSFC joint research program (11761141008), NSFC (12071044 and 12131007) and the NSF of Jiangsu Province (BK20191296).

摘要/Abstract

摘要： 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.

关键词: Non-isentropic Euler-Poisson system, global smooth solutions, uniform energy estimates, global convergence, compactness

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.

Key words: Non-isentropic Euler-Poisson system, global smooth solutions, uniform energy estimates, global convergence, compactness

中图分类号:

35B40

杨永富, 琚强昌, 周爽. THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS[J]. 数学物理学报(英文版), 2022, 42(4): 1666-1680.

Yongfu YANG, Qiangchang JU, Shuang ZHOU. THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS[J]. Acta mathematica scientia,Series B, 2022, 42(4): 1666-1680.

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THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS

THE GLOBAL COMBINED QUASI-NEUTRAL AND ZERO-ELECTRON-MASS LIMIT OF NON-ISENTROPIC EULER-POISSON SYSTEMS

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