论文标题
减少模型的层次结构近似于vlasov-Maxwell方程,以缓慢变化
A hierarchy of reduced models to approximate Vlasov-Maxwell equations for slow time variations
论文作者
论文摘要
我们介绍了一个新的偏离渐近模型家族,该模型近似于弗拉索夫 - 马克斯韦尔方程。该公式在参数$η$中准确是$ n $ th订单,这表示光束的特征速度与光速之间的比率。这个模型家族很有趣,首先是因为它比完整的Vlasov-Maxwell方程还要简单,因此它使我们可以根据预期的准确性选择模型复杂性。
We introduce a new family of paraxial asymptotic models that approximate the Vlasov-Maxwell equations in non-relativistic cases. This formulation is $n$-th order accurate in a parameter $η$, which denotes the ratio between the characteristic velocity of the beam and the speed of light. This family of models is interesting, first because it is simpler than the complete Vlasov-Maxwell equation, then because it allows us to choose the model complexity according to the expected accuracy.