Herr Qun Wang
Université Paris IX-Dauphine
Montag, 12. November 2018
Raum 2004 (L1)
über das Thema:
|The vortex dynamics finds its root in hydrodynamics with 160 years of history. In 1858 Hermann von Helmholtz’s seminal paper has marked its birth and then Kirchhoff in 1876 has shown its Hamiltonian structure. It is well known that for N>3 this problem is in general non-integrable, thus the searching of periodic solution serves as an important approach to understand the dynamics. Many interesting results in this fields are produced through methods developed in celestial mechanics, especially perturbative aspects. On the other hand, in recent years following the figure eight solution of Chenciner and Montgomery, variational methods have been proved to be very efficient in searching for periodic solutions in N-body problem, in particular the choreography. In this talk I would like to explore the possibility in application of classical variational methods in Hamiltonian system to the study of periodic solutions for N-vortex systems with positive vorticities in the plane, with an emphasis on the existence of simple choreographies.|
|Hierzu ergeht herzliche Einladung.|
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).