Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case

Olivier Goubet (1) , Emna Hamraoui (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

Abstract In this article we investigate both numerically and theoretically the influence of a defect on the blow-up of radial solutions to a cubic NLS equation in dimension 2.

Domaines: Mathématiques [math]

Olivier Goubet, Emna Hamraoui. Blow-up of solutions to cubic nonlinear Schrödinger equations with defect: The radial case. Advances in Nonlinear Analysis, 2017, 6 (2), pp.183-197. ⟨10.1515/anona-2016-0238⟩. ⟨hal-03847389⟩