Time periodic traveling curved fronts of bistable reaction–diffusion equations in R3 View Full Text


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Article Info

DATE

2017-04

AUTHORS

Wei-Jie Sheng

ABSTRACT

This paper is concerned with the existence and stability of time periodic traveling curved fronts for reaction–diffusion equations with bistable nonlinearity in R3. We first study the existence and other qualitative properties of time periodic traveling fronts of polyhedral shape. Furthermore, for any given g∈C∞(S1) with min0≤θ≤2πg(θ)=0 that gives a convex bounded domain with smooth boundary of positive curvature everywhere, which is included in a sequence of convex polygons, we show that there exists a three-dimensional time periodic traveling front by taking the limit of the solutions corresponding to the convex polyhedrons as the number of the lateral surfaces goes to infinity. More... »

PAGES

617-639

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10231-016-0589-0

DOI

http://dx.doi.org/10.1007/s10231-016-0589-0

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https://app.dimensions.ai/details/publication/pub.1030333639


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