Traveling wave solutions for a nonlocal phase-field system

  • Peter W. Bates

    Brigham Young University, Provo, United States
  • Eduardo Cabral Balreira

    Trinity University, San Antonio, United States

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, Eduardo Cabral Balreira, Traveling wave solutions for a nonlocal phase-field system. Interfaces Free Bound. 4 (2002), no. 3, pp. 227–238

DOI 10.4171/IFB/59