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    杨秀绘

    • 副教授
    • 学历:南京航空航天大学
    • 学位:理学硕士学位
    • 所在单位:理学院
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    Stability of the Equilibrium to the Vlasov-Poisson-Boltzmann System with Non-constant Background Charge

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    所属单位:理学院

    发表刊物:ACTA APPLICANDAE MATHEMATICAE

    关键字:Vlasov-Poisson-Boltzmann system Non-constant background charge Stability

    摘要:We study the global existence of classical solution to the Vlasov-Poisson-Boltzmann system with non-constant background charge. In this case the local Maxwellian is the unique stationary state. We show that this equilibrium is nonlinear stable provided that the initial perturbation is sufficient small. Our result solves an open problem stated by Duan and Yang (SIAM J. Math. Anal. 41(6):2353-2387, 2009) in one dimensional case.

    ISSN号:0167-8019

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    发表时间:2018-12-01

    合写作者:李秀娟

    通讯作者:杨秀绘