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欧拉-泊松磁流体 方程光滑解的爆破

Blow-up to the Smooth Solution of the Euler-Poisson-Magnetohydrodynamic Equations

中文摘要英文摘要

本文,我们率先给出了欧拉-泊松磁流体 方程光滑解爆破的充分条件。我们采用cite{JWX} 中的方法 对总压力和惯性量做估计,从而给出内能的上下界,通过上下界的比较最终给出主要结果的证明。

In this paper, we first give some sufficient conditions for the finite time blow-up result of smooth solutions to the Euler-Poisson magnetohydrodynamic flows. We use the method in cite{JWX} to estimate the total pressure and momentum of inertia, and then deduce the upper and lower bounds of internal energy, finally give the proof of the main result by comparing the bounds.

贺汇雅

数学力学物理学

爆破总压力惯性量内能欧拉-泊松磁流体 方程。

blow-up total pressure momentum of inertia internal energy Euler-Poisson magnetohydrodynamic equations.

贺汇雅.欧拉-泊松磁流体 方程光滑解的爆破[EB/OL].(2014-07-22)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201407-276.点此复制

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