Analysis of Kuramoto-Sivashinsky Model of Flame/Smoldering Front by Means of Curvature Driven Flow
Analysis of Kuramoto-Sivashinsky Model of Flame/Smoldering Front by Means of Curvature Driven Flow
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曲率驱动流分析火焰/阴燃锋Kuramoto-Sivashinsky模型
DOI：
10.1007/978-3-030-55874-1_60
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Bene? Michal
中科院分区：
文献类型：
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作者：
Kol?? Miroslav;Kobayashi Shunsuke;Uegata Yasuhide;Yazaki Shigetoshi;Bene? Michal
在本文中，我们总结了我们的研究结果的Kuramoto-Sivashinsky模型，它描述了火焰/阴燃界面的运动。我们提出了推广的移动参数化曲线的数学理论制定的模型，并从数值和分析的角度来研究它。在计算研究部分，我们提出了我们的计划的实验收敛阶的测量验证。在本文的分析部分，我们总结了该模型的分歧分析和旋转波解的研究。
In this paper we summarize our results on the investigation of the Kuramoto-Sivashinsky model, which describes the motion of flame/smoldering interface. We propose the generalization of the model formulated in terms of mathematical theory of moving parametrized curves, and investigate it from numerical and analytical point of view. In the part dedicated to computational studies, we present the verification of our scheme by measurement of experimental order of convergence. In the analytical part of the paper we summarize biffurcation analysis of the model and study of rotational wave solutions.