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Monatshefte für Mathematik

, Volume 188, Issue 4, pp 629–651 | Cite as

Dispersive limits for some perturbations of the NLS equation

  • Mohamad Darwich
  • Nobu Kishimoto
  • Luc MolinetEmail author
Article
  • 47 Downloads

Abstract

We are interesting in dispersive limits for perturbations of the NLS equation by a higher order linear term that competes with the Laplacian. We prove convergence results towards the solution of the limit equation by studying carefully the dependence of some dispersive effects with respect to the small parameter.

Keywords

Dispersive limit Fourth order NLS equation Vortex filaments 

Mathematics Subject Classification

35Q55 35B30 35G25 

Notes

Acknowledgements

This work was initiated during an invitation of N.K. at the University of Tours. N.K. gratefully acknowledges the hospitality and support of the L.M.P.T. and of the University of Tours.

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Copyright information

© Springer-Verlag GmbH Austria, ein Teil von Springer Nature 2018

Authors and Affiliations

  1. 1.Faculty of SciencesLebanese University HadatBeirutLebanon
  2. 2.RIMSKyoto UniversityKyotoJapan
  3. 3.Institut Denis PoissonUniversité de Tours, Université d’Orléans, CNRSToursFrance

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