On some properties of mean fields of equilibrium vortices described by the Hamiltonian
On some properties of mean fields of equilibrium vortices described by the Hamiltonian
复制标题
哈密顿量描述的平衡涡平均场的一些性质
DOI：
10.1088/0169-5983/46/3/031422
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发表时间：
2014
影响因子：
1.5
通讯作者：
Hiroshi Ohtsuka
中科院分区：
文献类型：
--
作者：
Itoh;Hiromichi; Khludnev;A. M.; Rudoy;E. M.; Tani;Atusi;F. Asakura;石崎克也 藤解和也;Hiroshi Ohtsuka
根据Onsager的方案来解释为什么在二维流动中经常观察到大尺度的长寿命相干结构，考虑了大量涡平衡时的平均场。本文讨论了我们最近关于Geldaufand问题爆破解的变分结构的一些结果，这些结果将有助于理解平衡涡的平均场与涡的Hamilton量之间的关系.
According to the scenario of Onsager to explain the reason why large-scale long-lived coherent structures are often observed in two-dimensional flows, the mean fields for the equilibrium of a large number of vortices are considered. In this paper we are concerned with our recent results on the variational structure of the blow-up solutions to the Gelʼfand problem, which would give insights on the relation between mean fields of equilibrium vortices and the Hamiltonian of vortices.