Nonlinear phenomena in dispersive equations

Session

Mini-course by Yvan MARTEL

22 mai 2018, 14:20

Salle de Réunion - Bâtiment M2 (Laboratoire Paul Painlevé)

Documents de présentation

slides

Mini-course notes

17. Construction and interaction of solitons for NLS equations (Part 1)

Yvan Martel

22/05/2018 14:20

We will review some results on the construction and interaction of solitary waves for nonlinear Schrödinger equations with power nonlinearity. After discussing briefly the well-known question of stability of single solitary waves, we will present a short proof of existence of multi-solitary waves in the case of weak interactions. Then, in the sub-critical and super-critical cases, we will show...

18. Construction and interaction of solitons for NLS equations (Part 2)

Yvan Martel

23/05/2018 09:00

We will review some results on the construction and interaction of solitary waves for nonlinear Schrödinger equations with power nonlinearity. After discussing briefly the well-known question of stability of single solitary waves, we will present a short proof of existence of multi-solitary waves in the case of weak interactions. Then, in the sub-critical and super-critical cases, we will show...