等离子体中双流体模型的调制逼近北大核心CSCD

等离子体中的双流体模型描述了丰富的等离子体动力学行为,包括离子声波和等离子体波之间的相互作用.为了描述该双流体模型小振荡波包解包络的演化,利用多尺度分析方法将非线性Schrödinger(NLS)方程作为形式逼近方程导出,并通过对该双流体模型的真实解和逼近解之间的误差,在Sobolev空间中进行了一致能量估计,最终在时间尺度O(ε^(-2))上严格证明了NLS逼近的有效性.

Modulation Approximation of a 2-Fluid System in Plasma

A kind of 2-fluid system in plasmas describes rich plasma dynamics, including the interactions between the ion acoustic wave and the plasma body wave. In order to describe the evolution of the envelope of the small oscillating wave packet solution of the 2-fluid model, the nonlinear Schr?dinger (NLS) equation was derived as a formal approximation equation with the multi-scale analysis method, and the uniform energy estimation of the error between the exact solution and the approximate solution to the 2-fluid model was given in the Sobolev space. The NLS approximation was finally proved strictly on the time-scale\begin{document}$ {\cal{O}}(\epsilon^{-2})$\end{document}.