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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Two scenarios of advective washing-out of localized convective patterns under frozen parametric disorder
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Two scenarios of advective washing-out of localized convective patterns under frozen parametric disorder

机译:在冷冻参数障碍下的两种方向写的平程性洗涤方案

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摘要

The effect of spatial localization of states in distributed parameter systems under frozen parametric disorder is well known as the Anderson localization and thoroughly studied for the Schrodinger equation and linear dissipation-free wave equations. Some similar (or mimicking) phenomena can occur in dissipative systems such as the thermal convection ones. Specifically, many of these dissipative systems are governed by a modified Kuramoto-Sivashinsky equation, where the frozen spatial disorder of parameters has been reported to lead to excitation of localized patterns. Imposed advection in the modified Kuramoto-Sivashinsky equation can affect the localized patterns in a non-trivial way; it changes the localization properties and suppresses the pattern. The latter effect is considered in this paper by means of both numerical simulation and model reduction, which turns out to be useful for a comprehensive understanding of the bifurcation scenarios in the system. Two possible bifurcation scenarios of advective suppression ('washing-out') of localized patterns are revealed and characterized.
机译:在冷冻参数障碍下分布式参数系统中的分布式参数系统的空间定位的影响是众所周知的,并且彻底研究了施罗德格方程和无线耗散波动方程。一些类似的(或模仿)现象可以发生在诸如热对流的耗散系统中。具体地,许多这些耗散系统由改进的Kuramoto-Sivashinsky方程管辖,其中据报道,参数的冷冻空间障碍导致局部模式的激发。修改的Kuramoto-Sivashinsky方程中强加的平流可以以非琐碎方式影响局部化模式;它更改本地化属性并抑制模式。通过数值模拟和模型减少,本文考虑了后一种效果,结果用于全面了解系统中分叉方案的全面了解。揭示和表征了两个可能的平流抑制('清洗')的两种可能的分叉场景。

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