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- 학술저널
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- 한국전산응용수학회 Journal of applied mathematics & computing Journal of applied mathematics & computing 제11권 제1호
- 발행연도
- 2003.1
- 수록면
- 125 - 141 (17page)
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This paper treats the conditions for the existence and stability properties of stationary solutions of reaction-diffusion equations of Gierer-Meinhardt type, subject to Neumann boundary data. The domains in which diffusion takes place are of three types: a regular hexagon, a rectangle and an isosceles rectangular triangle. Considering one of the relevant features of the domains as a bifurcation parameter it will be shown that at a certain critical value a diffusion driven instability occurs and Turing bifurcation takes place: a pattern emerges.
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