A new class of asymptotic models of GN/GN type for the propagation of internal waves: Properties and full justification.

Orateur:
TALHOUK Raafat
Localisation: Université libanaise, Liban
Type: Groupe de travail équations aux dérivées partielles
Site: UPEC
Salle:
P1-011
Date de début:
26/09/2016 - 11:30
Date de fin:
26/09/2016 - 11:30

In this talk we start by introducing the Euler and the original Green-Naghdi systems for the propagation of internal waves of two immiscible, ideal, incompressible irrotational fluids under the shallow water hypothesis. After we introduce different new asymptotic models in the Green-Naghdi regime. We will discuss and compare qualitative proprieties of this different models regarding, inter alia, their frequency dispersion propriety and its influence on the high-frequency Kelvin-Helmholtz instabilities. All our new asymptotic models are fully justified.