论文标题
关于冷等离子体方程仿射溶液的性能
On the properties of affine solutions of cold plasma equations
论文作者
论文摘要
我们研究冷等离子体平面振荡方程的仿射溶液，在静电性的假设下，该方程对应于排斥性情况下的Euler-Poisson方程。事实证明，在所有仿射溶液的类别中，冷等离子体方程的零平衡状态在有或没有静电性的情况下都是不稳定的。还表明，轴向对称静电溶液的任意扰动会导致有限的时间爆破。
We study the affine solutions of the equations of plane oscillations of cold plasma, which, under the assumption of electrostaticity, correspond to the Euler-Poisson equations in the repulsive case. It is proved that the zero equilibrium state of the cold plasma equations, both with and without the assumption of electrostaticity, is unstable in the class of all affine solutions. It is also shown that an arbitrary perturbation of an axially symmetric electrostatic solution leads to a finite time blow-up.
