Long-time behaviour for a nonlocal model from directed polymers

Long-time behaviour for a nonlocal model from directed polymers
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定向聚合物非局部模型的长期行为

DOI:
10.1088/1361-6544/aca9b3
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发表时间:
2022
期刊:
影响因子:
1.7
通讯作者:
Henderson, Christopher
Henderson, Christopher
中科院分区:
数学2区
文献类型:
--
作者:
Gu, Yu;Henderson, Christopher

文献摘要

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我们考虑了在随机环境中定向聚合物研究中出现的非局部反应扩散方程解的长时间行为。该模型具有核R和l2内积的卷积特征。在一个空间维度上,我们扩展了作者之前的结果(arXiv: 2002.02799),其中只有这种情况
We consider the long time behaviour of solutions to a nonlocal reaction diffusion equation that arises in the study of directed polymers in a random environment. The model is characterized by convolution with a kernel R and an L 2 inner product. In one spatial dimension, we extend a previous result of the authors (arXiv: 2002.02799), where only the case