Dynamical pattern formations in two dimensional fluid and Landau pole bifurcation

Autor:	Ogawa, Shun, Barré, Julien, Morita, Hidetoshi, Yamaguchi, Yoshiyuki Y.
Rok vydání:	2014
Předmět:	Physics - Fluid Dynamics
Zdroj:	Phys. Rev. E 89, 063007 (2014)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.89.063007
Popis:	A phenomenological theory is proposed to analyze the asymptotic dynamics of perturbed inviscid Kolmogorov shear flows in two dimensions. The phase diagram provided by the theory is in qualitative agreement with numerical observations, which include three phases depending on the aspect ratio of the domain and the size of the perturbation: a steady shear flow, a stationary dipole, and four traveling vortices. The theory is based on a precise study of the inviscid damping of the linearized equation and on an analysis of nonlinear effects. In particular, we show that the dominant Landau pole controlling the inviscid damping undergoes a bifurcation, which has important consequences on the asymptotic fate of the perturbation. Comment: 9 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.6865 Zobrazit plný text záznamu View this record from Arxiv