Electron. J. Diff. Eqns., Vol. 1999(1999), No. 26, pp. 1-19.

Periodic traveling waves for a nonlocal integro-differential model

Peter Bates & Fengxin Chen

Abstract:
We establish the existence, uniqueness and stability of periodic traveling wave solutions to an intrego-differential model for phase transitions.

Submitted June 15, 1999. Published August 19, 1999.
Math Subject Classifications: 35K55, 35Q99
Key Words: nonlocal phase transition, periodic traveling waves, stability.

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Peter Bates
Department of Mathematics, Brigham Young University
Provo, UT 84602. USA
e-mail: peter@math.byu.edu

Fengxin Chen
Division of Mathematics and Statistics
University of Texas at San Antonio
6900 North Loop 1604 West
San Antonio, TX 78249. USA
e-mail: feng@math.utsa.edu

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