Singular limit of reactiondiffusion systems and modified motion by mean curvature

Singular limit of reactiondiffusion systems and modified motion by mean curvature
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反应扩散系统的奇异极限和平均曲率修正运动

DOI:
10.1017/s0308210500001955
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发表时间:
2002
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
E. Logak
E. Logak
中科院分区:
--
文献类型:
--
作者:
E. Logak

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我们考虑两个模型的反应扩散系统中产生的相变理论的类型,它们出现在各种物理环境中,如薄的磁性薄膜和二嵌段共聚物。我们证明了这些系统的解决方案的自由边界问题的解决方案,涉及修改运动的平均曲率的收敛性。
We consider two model reaction-diffusion systems of bistable type arising in the theory of phase transition; they appear in various physical contexts, such as thin magnetic films and diblock copolymers. We prove the convergence of the solution of these systems to the solution of free-boundary problems involving modified motion by mean curvature.
DOI: 10.1021/ma00164a028
发表时间: 1986-10-01
期刊: MACROMOLECULES
影响因子: 5.5
作者:
OHTA, T;KAWASAKI, K
通讯作者: KAWASAKI, K