冷磁化等离子体的线性电动力学和稳定性
Linearised electrodynamics and stabilisation of a cold magnetised plasma
摘要：
本文考虑了电磁波在磁化等离子体中的传播和吸收的线性化欧拉-麦克斯韦模型。我们提出的推导模型，我们展示了它的适定性，其强大的多项式稳定性，在适当的和相当一般的假设下，其指数稳定性在相同的条件下的麦克斯韦系统，最后它的收敛到时间谐波制度。没有同质性假设，拓扑和几何假设的域是最小的。这些结果出现强烈的光谱特性的各种矩阵描述的各向异性和其他等离子体特性。
英文摘要：
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.
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