Extended Lagrangian approach for the defocusing Non-Linear Schrödinger equation

They proved, under appropriate assumptions on Q 1 , the semi-global weak H 2 stabilization of the wave function towards the ground state using explicit feedback control and

In the second subsection 2.2, a rigorous mathematical derivation of extended KdV equation on the surface elevation ζ will be provided, and hence a rigorous verification of this

Fortunately, we are able to use the classical Morawetz-type inequality and the technique of [22] to show the decay of global solutions for the defocusing (INLS).. More precisely,

Colin, On the local well-posedness of quasilinear Schr¨ odinger equation in arbitrary space dimension, Comm. Colin, On a quasilinear Zakharov system describing laser-

Il détermine, de sa position, la direction de trois repères appa- raissant sur la carte et il reporte ces observa- tions sur la carte pour obtenir trois segments de droites dont

En % Part de la spécialité 800 et plus De 500 à 799 De 200 à 499 Moins de 200 Durée de la formation (3) (en heures) Qualifi cation reconnues dans les classifi cations

Abstract— This paper is concerned with the controllability of quantum systems in the case where the standard dipolar approximation, involving the permanent dipole moment of the

In this work, symbolic dynamics and associated techniques of substitutions are exploited to investigate the structure of standing wave patterns arising in the HypNLS equation..