TY - JOUR

T1 - A free boundary problem arising in some reacting-diffusing system

AU - Hilhorst, D.

AU - Nishiura, Y.

AU - Mimura, M.

N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1991

Y1 - 1991

N2 - 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.

AB - 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.

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U2 - 10.1017/S0308210500029139

DO - 10.1017/S0308210500029139

M3 - Article

AN - SCOPUS:84974329427

VL - 118

SP - 355

EP - 378

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 3-4

ER -