Traveling wave solutions for a nonlocal phase-field system

Peter W. Bates; Fengxin Chen

doi:10.4171/ifb/59

JournalsifbVol. 4, No. 3pp. 227–238

Traveling wave solutions for a nonlocal phase-field system

Peter W. Bates
Brigham Young University, Provo, USA
- MathSciNet
- zbMATH Open
Fengxin Chen
University of Texas at San Antonio, USA
- MathSciNet
- zbMATH Open

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Abstract

We establish the existence of traveling wave solutions for a phase-field system in which the order parameter has long-range self-interaction, when the latent heat coefficient is small. We also perform computational simulations to determine the nature of the wave.

Cite this article

Peter W. Bates, Fengxin Chen, Traveling wave solutions for a nonlocal phase-field system. Interfaces Free Bound. 4 (2002), no. 3, pp. 227–238

DOI 10.4171/IFB/59