Hamiltonian dynamics of vortex lines in hydrodynamic-type systems
Hamiltonian dynamics of vortex lines in hydrodynamic-type systems
复制标题
流体动力型系统中涡线的哈密顿动力学
DOI：
10.1134/1.567795
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
V. Ruban
中科院分区：
文献类型：
--
作者：
E. Kuznetsov;V. Ruban
证明了由于速度旋度的冻结[E.A.Kuznetsov和A.V.Mikhailov，Phys.]，在螺线管矢量场空间上运行的非正则泊松括号的简并性。让我们来吧。当涡度Ω用涡旋线表示时，[A 77，37(1980)]被抬高。这种表示法使得对哈密顿量为H=∫|Ω|DR的系统的涡量运动方程积分成为可能。
It is shown that the degeneracy of the noncanonical Poisson bracket operating on the space of solenoidal vector fields that arises due to the freezing-in of the curl of the velocity [E. A. Kuznetsov and A. V. Mikhailov, Phys. Lett. A 77, 37 (1980)] is lifted when the vorticity Ω is represented in terms of vortex lines. This representation makes it possible to integrate the equation of motion of the vorticity for a system with the Hamiltonian H=∫∣Ω∣dr.