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Global coupling effects on a free boundary problem for three-component reaction-diffusion system

함윤미
대한수학회 (The Korean Mathematical Society)|2006.05|대한수학회지 (Journal of the KMS)|제43권 제3호|pp. 659-676

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주제분류수학

초록

Abstract

In this paper, we consider three-component reaction-diffusionsystem. With an integral condition and a global coupling, thissystem gives us an interesting free boundary problem. We shallexamine the occurrence of a Hopf bifurcation and the stability ofsolutions as the global coupling constant varies. The main resultis that a Hopf bifurcation occurs for global coupling and thismotion is transferred to the stable motion for strong globalcoupling.

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