Special Session 28: 

Standing Waves in near-parallel vortex filaments

chiru yang
Shantou University
Peoples Rep of China
Co-Author(s):    Walter Craig and Carlos Garcia
Abstract:
In this talk, we consider the model for n almost parallel vortex filaments in a 3 dimensional fluid which takes in consideration the interaction between different filaments and an approximation for the self-induction. We will apply Nash-Moser theorem to prove the existence of periodic standing waves.