Interaction of Traveling Curved Fronts in Bistable Reaction-Diffusion Equations in

Nai-Wei Liu

Journal of Mathematics, 2017, vol. 2017, 1-9

Abstract:

We consider the interaction of traveling curved fronts in bistable reaction-diffusion equations in two-dimensional spaces. We first characterize the growth of the traveling curved fronts at infinity; then by constructing appropriate subsolutions and supersolutions, we prove that the solution of the Cauchy problem converges to a pair of diverging traveling curved fronts in under appropriate initial conditions.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5328246

DOI: 10.1155/2017/5328246

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