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Stability and asymptotic properties of a linearized hydrodynamic medium model for dispersive media in nanophotonics

机译:纳米光电学中分散培养基线性化水动力培养基模型的稳定性和渐近性质

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摘要

We analyze the stability of a linearized hydrodynamical model describing the response of nanometric dispersive metallic materials illuminated by optical light waves that is the situation occurring in nanoplasmonics. This model corresponds to the coupling between the Maxwell system and a PDE describing the evolution of the polarization current of the electrons in the metal. We show the well posedness of the system, polynomial stability and optimal energy decay rate. We also investigate the numerical stability for a discontinuous Galerkin type approximation and several explicit time integration schemes. (C) 2020 Elsevier Ltd. All rights reserved.
机译:我们分析了描述通过光波照射的纳米分散金属材料响应的线性化流体动力学模型的稳定性,这是纳米纳米癌中发生的情况。该模型对应于麦克斯韦系统与描述金属中电子偏振电流的演变的PDE之间的耦合。我们展示了系统的良好姿势,多项式稳定性和最佳能量衰减率。我们还研究了不连续的Galerkin类型近似和几种显式时间集成方案的数值稳定性。 (c)2020 elestvier有限公司保留所有权利。

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