Stationary Solutions of the Vlasov–Poisson System with Diffusive Boundary Conditions
Stationary Solutions of the Vlasov–Poisson System with Diffusive Boundary Conditions
复制标题
具有扩散边界条件的 Vlasov-Poisson 系统的平稳解
DOI：
10.1007/s00332-015-9231-3
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发表时间：
2015
影响因子：
3
通讯作者：
W. Strauss
中科院分区：
文献类型：
--
作者：
Emre Esentürk;H. Hwang;W. Strauss
在一般扩散边界条件下，研究了等离子体Vlasov-Poisson系统的定常解。对于扩散核和粒子注入强度，在一定的可积性和衰变假设下，依赖于局域能量和角动量的分布函数是唯一确定的。然后求解得到的电势的非线性泊松方程。在不同的环境下，我们在一维和更高维上研究了其解的存在唯一性。
The stationary solutions of the Vlasov–Poisson system for a plasma are studied with general diffusive boundary conditions. The distribution function, which depends on the local energy and angular momentum, is determined uniquely under certain integrability and decay assumptions on the diffusive kernels and the particle injection intensities. The resulting nonlinear Poisson equation is then solved for the electric potential. We study the existence and uniqueness of its solutions in one and higher dimensions under a variety of settings.