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arXiv 2109.08680physics.plasm-phmath-phmath.MP
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外磁场对冷等离子体振荡的影响

The influence of an external magnetic field on cold plasma oscillations

Olga Rozanova, Evgeniy Chizhonkov

摘要:

针对描述磁激活等离子体中一维非线性振荡的方程组,研究了恒定磁场对振荡破缺的影响。对于非相对论性的情况下,一个有限维奇异性的形成的标准得到的初始数据。它示出的磁场的增强基本上导致的初始数据提供的解决方案的全局平滑的类的扩展。数值例子说明了奇异性的解决方案的性质。

英文摘要:

For a system of equations describing one-dimensional nonlinear oscillations in a magnetoactive plasma, we study the effect of a constant magnetic field on the breaking of oscillations. For the nonrelativistic case, a criterion for the formation of a finite-dimensional singularity is obtained in terms of the initial data. It is shown that the enhancement of the magnetic field basically leads to an expansion of the class of initial data providing the global smoothness of the solution. The nature of the singularities of the solutions is illustrated by numerical examples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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