Mathematical treatment of a model for smoldering combustion
Mathematical treatment of a model for smoldering combustion
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DOI：
10.32917/hmj/1233152774
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发表时间：
2008-11
影响因子：
0.2
通讯作者：
K. Ikeda;M. Mimura
中科院分区：
文献类型：
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作者：
K. Ikeda;M. Mimura
在微重力条件下的实验中观察到了不同的阴燃模式。为了从理论上理解这种花样现象，提出了一个反应-扩散系统模型。本文证明了该反应扩散系统解的存在唯一性。我们还考虑了解的大时间行为，并证明了行波解的不存在性。
Various flnger-like smoldering patterns are observed in experiments under micro- gravity. For theoretical understanding of such pattern phenomena, a model of reaction-difiusion system has been proposed. In this paper, we prove the existence and uniqueness of a solution for this reaction-difiusion system. We also consider a large-time behavior of solutions and show nonexistence results of traveling wave solutions.