论文标题
双cascade波湍流中的稳态
Steady states in dual-cascade wave turbulence
论文作者
论文摘要
我们研究了差分动力学方程中的固定溶液，该方程是为了描述局部双级联波湍流的描述。我们提供了单局部状态的完整分类，其中只有一个保守数量的有限通量。稳态频谱的分析基于对基础动力学系统轨道的相位空间分析。动力系统的轨道展示了爆破行为，该行为对应于“尖锐的前部”，其中光谱以有限的波数消失。讨论了Kz和热力学缩放作为中间渐近性以及单数溶液的作用。
We study stationary solutions in the differential kinetic equation, which was introduced in for description of a local dual cascade wave turbulence. We give a full classification of single-cascade states in which there is a finite flux of only one conserved quantity. Analysis of the steady-state spectrum is based on a phase-space analysis of orbits of the underlying dynamical system. The orbits of the dynamical system demonstrate the blow-up behaviour which corresponds to a "sharp front" where the spectrum vanishes at a finite wave number. The roles of the KZ and thermodynamic scaling as intermediate asymptotic, as well as of singular solutions, are discussed.
