论文标题
从质量的角度来看
From bipolar Euler-Poisson system to unipolar Euler-Poisson system in the perspective of mass
论文作者
论文摘要
本文的主要目的是提供一个有效的程序，以严格研究质量的角度来严格研究单极和双极欧拉 - 波森系统之间的关系。基于电子的质量远低于离子的质量，我们通过让$ m_e/m_i \ rightArrow 0 $ $进行扩大该属性，并使用两个不同的单数限制来说明它，这是零电子质量限制和无限元质量限制。我们使用渐近扩展的方法来解决问题，并发现从双极到单极系统的限制过程实际上是解耦的过程，而不是消失的相应其他粒子方程的消失。
The main purpose of this paper is to provide an effective procedure to study rigorously the relationship between unipolar and bipolar Euler-Poisson system in the perspective of mass. Based on the fact that the mass of an electron is far less than that of an ion, we amplify this property by letting $m_e/m_i\rightarrow 0$ and using two different singular limits to illustrate it, which are zero-electron mass limit and infinity-ion mass limit. We use the method of asymptotic expansion to handle the problem and find that the limiting process from bipolar to unipolar system is actually the process of decoupling, but not the vanishing of equations of the corresponding other particle.
