Geodesic
Traveling wave solutions for a nonlocal phase-field system
Peter W. Bates1 ; Fengxin Chen2
1Brigham Young University, Provo, USA
2University of Texas at San Antonio, USA
Interfaces and free boundaries, Tome 4 (2002) no. 3, pp. 227-238

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DOI

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.
DOI : 10.4171/ifb/59
Classification : 46-XX, 60-XX
Mots-clés : nonlocal phase transition; traveling waves; continuation

Peter W. Bates  1   ; Fengxin Chen  2

1 Brigham Young University, Provo, USA
2 University of Texas at San Antonio, USA 
Peter W. Bates; Fengxin Chen. Traveling wave solutions for a nonlocal phase-field system. Interfaces and free boundaries, Tome 4 (2002) no. 3, pp. 227-238. doi: 10.4171/ifb/59
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     title = {Traveling wave solutions for a nonlocal phase-field system},
     journal = {Interfaces and free boundaries},
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     year = {2002},
     volume = {4},
     number = {3},
     doi = {10.4171/ifb/59},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/59/}
}
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