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15 mins
Hamiltonian formalism for weak turbulence of inertial waves in rotating fluids
Andrey A Gelash, Vladimir E Zakharov
Session: Instability and Transition 6
Session starts: Thursday 27 August, 15:00
Presentation starts: 16:30
Room: Room A

Andrey A Gelash (Novosibirsk State University, Novosibirsk, Russia)
Vladimir E Zakharov (Novosibirsk State University, Novosibirsk, Russia; Lebedev Physical Institute, Russian Academy of Sciences, Moscow, Russia; University of Arizona, Tucson, AZ, USA. )

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.