论文标题
线性化的电动力学和冷磁化等离子体的稳定
Linearised electrodynamics and stabilisation of a cold magnetised plasma
论文作者
论文摘要
我们考虑了一个线性化的Euler-马克斯韦模型，用于在磁化等离子体中传播和吸收电磁波。我们介绍了模型的推导，并在适当且相当普遍的假设下显示了其良好和多项式的稳定性，其在与麦克斯韦系统相同的条件下的指数稳定性，最后是其与时间谐波制度的融合。没有做出同质性假设，并且对域上的拓扑和几何假设是最小的。这些结果似乎与描述各向异性和其他等离子体特性的各种矩阵的光谱特性密切相关。
We consider a linearized Euler--Maxwell model for the propagation and absorption of electromagnetic waves in a magnetized plasma. We present the derivation of the model, and we show its well-posedeness, its strong and polynomial stability under suitable and fairly general assumptions, its exponential stability in the same conditions as the Maxwell system, and finally its convergence to the time-harmonic regime. No homogeneity assumption is made, and the topological and geometrical assumptions on the domain are minimal. These results appear strongly linked to the spectral properties of various matrices describing the anisotropy and other plasma properties.
