The gyrokinetic limit for the Vlasov–Poisson system with a point charge

The gyrokinetic limit for the Vlasov–Poisson system with a point charge
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点电荷 Vlasov-Poisson 系统的回旋极限

DOI:
10.1088/1361-6544/aaece7
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发表时间:
2017
期刊:
影响因子:
1.7
通讯作者:
E. Miot
E. Miot
中科院分区:
数学2区
文献类型:
--
作者:
E. Miot

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本文研究了二维Vlasov-Poisson系统中有界密度与点电荷相互作用系统在大外磁场作用下的渐近性。我们证明了该解收敛到具有亏损测度的欧拉方程的测度值解。
We consider the asymptotics of large external magnetic field for a 2D Vlasov–Poisson system governing the evolution of a bounded density interacting with a point charge. We show that the solution converges to a measure-valued solution of the Euler equation with a defect measure.