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THE TRAVELING-WAVE FRONTS OF NONLINEAR REACTION-DIFFUSION SYSTEMS VIA FRIEDLIN STOCHASTIC APPROACHES
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UNSPECIFIED (1994) THE TRAVELING-WAVE FRONTS OF NONLINEAR REACTION-DIFFUSION SYSTEMS VIA FRIEDLIN STOCHASTIC APPROACHES. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 124 (Part 2). pp. 273-299. ISSN 0308-2105.
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Abstract
In this paper we study the asymptotic behaviour of reaction-diffusion systems with a small parameter by using the n-dimensional Feynman-Kac formula and large deviation theory. The generalised solutions are introduced in Section 2. We obtain the travelling wave joining an unstable steady state and an asymptotically stable steady state of a diffusionless dynamical system in a reaction-diffusion system with nonlinear ergodic interactions, and a special case with nonlinear reducible interactions.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | ||||
Publisher: | ROYAL SOC EDINBURGH | ||||
ISSN: | 0308-2105 | ||||
Official Date: | 1994 | ||||
Dates: |
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Volume: | 124 | ||||
Number: | Part 2 | ||||
Number of Pages: | 27 | ||||
Page Range: | pp. 273-299 | ||||
Publication Status: | Published |
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