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可压Navier-Stokes-Poisson方程组的渐近性

Keywords: 等离子体物理,可压Navier-Stokes-Poisson方程,渐近行为

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Abstract:

研究了等离子体物理科学中的三维可压Navier-Stokes-Poisson方程初边值问题解的整体存在性与长时间渐近性,使用精细的能量估计证明了当初值是稳态解的小扰动时该问题存在唯一整体光滑解,而且当t→∞时该整体光滑解以指数速率趋于稳态解.

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