论文标题
vlasov的汉密尔顿粒子方法的融合 - 与非均匀磁场的波森方程
Convergence of Hamiltonian Particle methods for Vlasov--Poisson equations with a nonhomogeneous magnetic field
论文作者
论文摘要
在高温等离子体物理学中，通常使用强磁场来限制带电的颗粒。因此，为了研究物理问题的经典数学模型，需要考虑外部磁场的影响。等离子体中重要的模型方程之一是带有外部磁场的Vlasov-Poisson方程。在本文中，我们研究了这种系统的哈密顿粒子方法的误差分析。独立提供了用于Vlasov方程的粒子法和粒子方程方法的收敛。通过将它们结合在一起，可以得出结论，数值溶液会收敛到确切的粒子轨迹。
In high-temperature plasma physics, a strong magnetic field is usually used to confine charged particles. Therefore, for studying the classical mathematical models of the physical problems it is needed to consider the effect of external magnetic fields. One of the important model equations in plasma is the Vlasov-Poisson equation with an external magnetic field. In this paper, we study the error analysis of Hamiltonian particle methods for this kind of system. The convergence of particle method for Vlasov equation and that of Hamiltonian method for particle equation are provided independently. By combining them, it can be concluded that the numerical solutions converge to the exact particle trajectories.
