Dispersive limits for some perturbations of the NLS equation
- 47 Downloads
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.
KeywordsDispersive limit Fourth order NLS equation Vortex filaments
Mathematics Subject Classification35Q55 35B30 35G25
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.