Pattern selection as a nonlinear eigenvalue problem

@article{Bchel1996PatternSA,
  title={Pattern selection as a nonlinear eigenvalue problem},
  author={P. B{\"u}chel and M. L{\"u}cke},
  journal={arXiv: Pattern Formation and Solitons},
  year={1996},
  pages={35-53}
}
  • P. Büchel, M. Lücke
  • Published 1996
  • Mathematics, Physics
  • arXiv: Pattern Formation and Solitons
  • A unique pattern selection in the absolutely unstable regime of driven, nonlinear, open-flow systems is reviewed. It has recently been found in numerical simulations of propagating vortex structures occuring in Taylor-Couette and Rayleigh-Benard systems subject to an externally imposed through-flow. Unlike the stationary patterns in systems without through-flow the spatiotemporal structures of propagating vortices are independent of parameter history, initial conditions, and system length. They… CONTINUE READING
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    Front propagation into unstable states
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