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| ASYMPTOTIC LIMITS OF ONE-DIMENSIONAL HYDRODYNAMIC MODELS FOR PLASMAS AND SEMICONDUCTORS |
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Citation： |
PENG Yuejun.ASYMPTOTIC LIMITS OF ONE-DIMENSIONAL HYDRODYNAMIC MODELS FOR PLASMAS AND SEMICONDUCTORS[J].Chinese Annals of Mathematics B,2002,23(1):25~36 |
| Page view： 1263
Net amount： 828 |
Authors： |
PENG Yuejun; |
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| Abstract： |
This paper studies the zero-electron-mass limit, the quasi-neutral limit and the zero-relaxation-time limit in one-dimensional hydrodynamic models of Euler-Poisson system for plasmas and semiconductors. For each limit in the steady-state models, the author proves the strong convergence of the sequence of solutions and gives the corresponding convergence rate. In the time-dependent models, the author shows some useful estimates for the quasi-neutral limit and the zero-electron-mass limit. This study completes the analysis made in [11,12,13,14,19]. |
Keywords： |
Zero-electron-mass limit, Quasi-neutral limit, Zero-relaxation-time limit, Hydrodynamic models, Plasmas, Semiconductors |
Classification： |
35B25, 35B40, 35H30, 35L65, 35Q35 |
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