Existence of quasipatterns solutions of the Swift-Hohenberg equation

@inproceedings{Braaksma2012ExistenceOQ,
  title={Existence of quasipatterns solutions of the Swift-Hohenberg equation},
  author={Boele Braaksma and Gerard Iooss and Laurent Stolovitch},
  year={2012}
}
  • Boele Braaksma, Gerard Iooss, Laurent Stolovitch
  • Published 2012
We consider the steady Swift Hohenberg partial differential equation. It is a oneparameter family of PDE on the plane, modeling for example Rayleigh Bénard convection. For values of the parameter near its critical value, we look for small solutions, quasiperiodic in all directions of the plane and which are invariant under rotations of angle π/q, q ≥ 4. We… CONTINUE READING