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math-ph2019★ 9 cited
Dynamics of spiral waves in the complex Ginzburg-Landau equation in bounded domains
M. Aguareles, S. J. Chapman, T. Witelski
Multiple-spiral-wave solutions of the general cubic complex Ginzburg-Landau equation in bounded domains are considered. We investigate the effect of the boundaries on spiral motion…
math-ph2016★ 24 cited
Finite-time Thin Film Rupture Driven by Generalized Evaporative Loss
Hangjie Ji, Thomas Witelski
Rupture is a nonlinear instability resulting in a finite-time singularity as a fluid layer approaches zero thickness at a point. We study the dynamics of rupture in a generalized m…