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Publications [#304501] of Thomas P. Witelski

Papers Published

1. Aguareles, M; Chapman, SJ; Witelski, T, Interaction of spiral waves in the complex Ginzburg-Landau equation., Physical review letters, vol. 101 no. 22 (November, 2008), pp. 224101, ISSN 0031-9007 [doi]
   (last updated on 2024/04/18)

   Abstract:
   Solutions of the general cubic complex Ginzburg-Landau 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.