The 14th AIMS Conference

Fluid dynamics and KAM theory

 Organizer(s):
Name:
Affiliation:
Country:
Zineb Hassainia
New York University at Abu Dhabi
United Arab Emirates
Taoufik Hmidi
New York University at Abu Dhabi
United Arab Emirates
Riccardo Montalto
University of Milan
Italy
 Introduction:  
  The goal of this session is to provide an overview of recent advancements in theoretical fluid mechanics, achieved by employing KAM and Normal form techniques. Particular emphasis will be laid on vortex dynamics, construction of multi-periodic waves, dynamics near shear flows, stability, and long-time behaviors. Bringing together experts from both fluid dynamics and KAM theory paves the way to foster a cross-disciplinary dialogue, exchange ideas and inspire new ones. We believe that this unique opportunity will allow to gain a deeper understanding of how KAM theory can be applied to solve complex problems in fluid dynamics and how fluid dynamics can provide real-world context and challenges for KAM theory.