Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential

C F Kreiner, Johannes Zimmer

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4 Citations (Scopus)
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Abstract

We give an existence proof for heteroclinic wave solutions to the Frenkel-Kontorova model of dislocation dynamics. The on-site potential is assumed to be piecewise quadratic. The framework employed here allows us to determine explicitly a regime of subsonic velocities for which travelling waves exist.
Original languageEnglish
Pages (from-to)1137-1163
Number of pages27
JournalNonlinearity
Volume24
Issue number4
Early online date3 Mar 2011
DOIs
Publication statusPublished - Apr 2011

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Dislocation Dynamics
Frenkel-Kontorova Model
traveling waves
Traveling Wave
Framework

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Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential. / Kreiner, C F; Zimmer, Johannes.

In: Nonlinearity, Vol. 24, No. 4, 04.2011, p. 1137-1163.

Research output: Contribution to journalArticle

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