JournalsifbVol. 4 , No. 3DOI 10.4171/ifb/59

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
Traveling wave solutions for a nonlocal phase-field system cover

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.