JournalsaihpcVol. 32, No. 4pp. 785–812

Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian

  • Changfeng Gui

    Department of Mathematics, University of Connecticut, 196 Auditorium Road, Unit 3009, Storrs, CT 06269-3009, United States

  • Mingfeng Zhao

    Department of Mathematics, University of Connecticut, 196 Auditorium Road, Unit 3009, Storrs, CT 06269-3009, United States
Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian cover
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Abstract

In this paper, we show the existence and qualitative properties of traveling wave solutions to the Allen–Cahn equation with fractional Laplacians. A key ingredient is the estimation of the traveling speed of traveling wave solutions.

Cite this article

Changfeng Gui, Mingfeng Zhao, Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian. Ann. Inst. H. Poincaré Anal. Non Linéaire 32 (2015), no. 4, pp. 785–812

DOI 10.1016/J.ANIHPC.2014.03.005