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Approximate Normal Forms via Floquet–Bloch Theory: Nehorošev Stability for Linear Waves in Quasiperiodic Media

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  • معلومة اضافية
    • Contributors:
      Laboratoire de Mathématiques d'Orsay (LMO); Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS); Université libre de Bruxelles (ULB); Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)); Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP); Institut Universitaire de France (IUF); Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche (M.E.N.E.S.R.); Département de Mathématique [Bruxelles] (ULB); Faculté des Sciences [Bruxelles] (ULB); Université libre de Bruxelles (ULB)-Université libre de Bruxelles (ULB)
    • بيانات النشر:
      Springer Science and Business Media LLC, 2021.
    • الموضوع:
      2021
    • نبذة مختصرة :
      We study the long-time behavior of the Schrodinger flow in a heterogeneous potential $$\lambda V$$ with small intensity $$00$$ . More precisely, the approximate normal form leads to an accurate long-time description of the Schrodinger flow as an effective unitary correction of the free flow. The approach is robust and generically applies to linear waves. For classical waves, for instance, this allows to extend diffractive geometric optics to quasiperiodically perturbed media.
    • File Description:
      1 full-text file(s): application/pdf
    • ISSN:
      1432-0916
      0010-3616
    • الرقم المعرف:
      10.1007/s00220-021-03966-7
    • الرقم المعرف:
      10.1007/s00220-021-03966-7⟩
    • Rights:
      OPEN
    • الرقم المعرف:
      edsair.doi.dedup.....b827bc06c4c6e35372695b4124a0e61b