Hamiltonian structure for the Charney–Hasegawa–Mima equation in the asymptotic model regime
| Autor: | Masakazu Sueyoshi, Takahiro Iwayama |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Fluid Flow and Transfer Processes
Length scale Camassa–Holm equation Hasegawa–Mima equation Mechanical Engineering Mathematical analysis General Physics and Astronomy Euler equations Taylor–Goldstein equation symbols.namesake symbols Covariant Hamiltonian field theory Superintegrable Hamiltonian system Noether's theorem Mathematical physics Mathematics |
| Zdroj: | Fluid Dynamics Research. 39:346-352 |
| ISSN: | 1873-7005 0169-5983 |
| Popis: | We show that the Charney–Hasegawa–Mima (CHM) equation in the asymptotic model (CHM-AM) regime possesses the non-canonical Hamiltonian structure. The CHM-AM corresponds to the CHM equation in the asymptotic limit of length scales large compared to the Rossby deformation radius. It is shown that the Hamiltonian structure of the CHM-AM cannot be derived directly from that of the CHM equation by taking a simple limit of a length scale. Both the two-dimensional (2-D) Euler equation and the CHM-AM are regarded as special cases of a generalized 2-D fluid system, the so-called α-turbulence system. The existence of the Hamiltonian structure of the CHM-AM obtained in this study and that of the 2-D Euler equation implies the existence of the Hamiltonian structure of the α-turbulence system. |
| Databáze: | OpenAIRE |
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