The quasineutral limit of the Vlasov-Poisson equation in Wasserstein metric
The quasineutral limit of the Vlasov-Poisson equation in Wasserstein metric
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Wasserstein 度量中 Vlasov-Poisson 方程的拟中性极限
DOI：
10.4310/cms.2017.v15.n2.a8
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Mikaela Iacobelli
中科院分区：
文献类型：
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作者：
Daniel Han;Mikaela Iacobelli
在这项工作中，我们研究了具有无质量热化电子的离子的一维弗拉索夫-泊松方程的准中性极限。我们在 Wasserstein 度量中证明了新的弱强稳定性估计，使我们能够扩展和改进先前已知的收敛结果。特别是，我们表明，给定一个可能不稳定的分析初始轮廓，形式极限适用于在 Wasserstein 度量中足够快地收敛到该轮廓的测量初始数据序列。这是在不假设统一分析规律的情况下实现的。
In this work, we study the quasineutral limit of the one-dimensional Vlasov-Poisson equation for ions with massless thermalized electrons. We prove new weak-strong stability estimates in the Wasserstein metric that allow us to extend and improve previously known convergence results. In particular, we show that given a possibly unstable analytic initial profile, the formal limit holds for sequences of measure initial data converging sufficiently fast in the Wasserstein metric to this profile. This is achieved without assuming uniform analytic regularity.