Math @ Duke

Publications [#244231] of Thomas P. Witelski
search www.ams.org.Papers Published
 Aguareles, M; Chapman, SJ; Witelski, TP, Interaction of spiral waves in the Complex GinzburgLandau equation,
Physical Review Letters, vol. 101 no. 224101
(2008), ISSN 00319007 (doi:10.1103/PhysRevLett.101.224101.) [e224101], [doi]
(last updated on 2018/09/19)
Abstract: Solutions of the general cubic complex GinzburgLandau equation comprising multiple spiral waves are considered, and laws of motion for the centers are derived. The direction of the motion changes from along the line of centers to perpendicular to the line of centers as the separation increases, with the strength of the interaction algebraic at small separations and exponentially small at large separations. The corresponding asymptotic wave number and frequency are also determined, which evolve slowly as the spirals move. © 2008 The American Physical Society.


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