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Hamiltonian approach to the derivation of evolution equations for wave trains in weakly unstable media
Hamiltonian approach evolution equations wave trains weakly unstable media
2009/11/13
The dynamics of weakly nonlinear wave trains in unstable media is studied. This dynamics is investigated in the framework of a broad class of dynamical systems having a Hamiltonian structure. Two diff...
On the Hamiltonian approach:Applications to geophysical flows
Hamiltonian approach Applications to geophysical flows
2009/11/13
This paper presents developments of the Harniltonian Approach to problems of fluid dynamics, and also considers some specific applications of the general method to hydrodynamical models. Nonlinear gau...
Energy-conserving and Hamiltonian low-order models in geophysical fluid dynamics
Energy-conserving Hamiltonian low-order models geophysical fluid dynamics
2009/11/9
Arbitrary truncations in the Galerkin method commonly used to derive low-order models (LOMs) may violate fundamental conservation properties of the original equations, causing unphysical behaviors in ...