Hamiltonian formalism for weak turbulence of inertial waves in rotating fluids etc15 Tracking Number 469Presentation: Session: Instability and Transition 6 Room: Room A Session start: 15:00 Thu 27 Aug 2015 Andrey A Gelash agelash@gmail.com Affifliation: Novosibirsk State University, Novosibirsk, Russia Vladimir E Zakharov vezakh@gmail.com Affifliation: Novosibirsk State University, Novosibirsk, Russia; Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia; University of Arizona, Tucson, AZ, USA. Topics: - Instability and transition, - Lagrangian aspects of turbulence Abstract: We present the Hamiltonian description of incompressible rotating fluid by using the Clebsch variables. We find the transformation which allows us to present the three-wave interaction Hamiltonian in normal variables in simple explicit form. We analyze the three-wave interaction amplitude and find new anisotropic spectra. Finally we study the convergence of integrals and present the kinetic equation. |