On the Attractive Plasma-Charge System in 2-d

被引：17

作者：

Caprino, S. ^{[1
]}

Marchioro, C. ^{[2
]}

Miot, E. ^{[3
]}

Pulvirenti, M. ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, Rome, Italy

[3] Univ Paris Sud 11, Math Lab, Orsay, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2012年 / 37卷 / 07期

关键词：

Vlasov-Poisson equation; VLASOV-POISSON EQUATIONS; IN-TIME SOLUTIONS; WEAK SOLUTIONS; EXISTENCE;

D O I：

10.1080/03605302.2011.653032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plasma density near the charges. We prove the existence of a global in time solution, assuming a suitable initial distribution of the velocities of the plasma particles. Uniqueness remains unsolved.

引用

页码：1237 / 1272

页数：36

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