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

doi:10.1007/s10473-022-0422-3

Abstract

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

CLC Number:

35B40

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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