Global smooth solution for a kind of two-fluid system in plasmas |
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| Authors: | Lijia Han Jingjun Zhang Boling Guo |
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| Institution: | 1. Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China;2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang, 314001, China;3. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, China |
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| Abstract: | A kind of two-fluid system in plasmas is studied in this paper. This system describes rich dynamics of a plasma, including the interactions between the ion acoustic wave and the plasma wave. When ignoring the effect of the high-frequency electric field, such system reduces to the ion type Euler–Poisson system. We prove that for this kind of two-fluid system, small perturbations around the equilibrium state lead to a global smooth solution. This result generalizes the recent work given by Guo and Pausader. |
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