A free boundary problem arising in some reacting–diffusing system

A free boundary problem arising in some reacting–diffusing system
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某些反应扩散系统中出现的自由边界问题

DOI:
10.1017/s0308210500029139
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发表时间:
1991
期刊:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子:
--
通讯作者:
M. Mimura
M. Mimura
中科院分区:
--
文献类型:
--
作者:
D. Hilhorst;Y. Nishiura;M. Mimura

文献摘要

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摘要证明了一类反应扩散系统的一维自由边界问题的适定性。界面点在有限的时间内碰到边界点或一直留在边界点内。在大扩散极限下,系统被简化为有限维的常微分方程。
Synopsis We prove the well-posedness for a one-dimensional free boundary problem arising from some reaction diffusion system. The interfacial point hits a boundary point in finite time or remains inside for all time. In the large diffusion limit, the system is reduced to ordinary differential equations of finite dimension.