关于线性化的Balescu-Lenard方程
On the Linearized Balescu-Lenard Equation
摘要：
来自等离子体物理学的Balescu-Lenard方程被广泛认为包括对朗道基本碰撞算子的高度精确的修正。然而，迄今为止，对它的数学研究还很少。我们进行了广泛的线性化分析这个方程，其中包括确定的线性化运营商的新组件的渐近行为，并建立线性化方程的时间衰减率。
英文摘要：
The Balescu-Lenard equation from plasma physics is widely considered to include a highly accurate correction to Landau's fundamental collision operator. Yet so far it has seen very little mathematical study. We perform an extensive linearized analysis of this equation, which includes determining the asymptotic behavior of the new components of the linearized operator and establishing time decay rates for the linearized equation.
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