The effects of variable diffusivity on the development of travelling waves in a class of reaction-diffusion equations
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1994 ◽
Vol 348
(1687)
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pp. 229-260
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Keyword(s):
In this paper we examine the effects of concentration dependent diffusivity on a reaction-diffusion process which has applications in chemical kinetics and ecology. We consider piecewise classical solutions to an initial boundary-value problem. The existence of a family of permanent form travelling wave solutions is established and the development of the solution of the initial boundary-value problem to the travelling wave of minimum propagation speed is considered. For certain types of initial data, ‘waiting time’ phenomena are encountered.
Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences
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1995 ◽
Vol 350
(1694)
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pp. 335-360
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1981 ◽
Vol 90
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pp. 41-61
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Vol 146
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pp. 217-240
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pp. 1-31
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pp. 398-411
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pp. 926-931
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pp. 511-560
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pp. 79-95
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