Large time behavior and asymptotic stability of the 2D Euler and linearized Euler equations
Large time behavior and asymptotic stability of the 2D Euler and linearized Euler equations
复制标题
二维欧拉和线性化欧拉方程的大时间行为和渐近稳定性
DOI：
10.1016/j.physd.2010.01.020
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
H. Morita
中科院分区：
文献类型：
--
作者：
F. Bouchet;H. Morita
本文研究了二维欧拉方程和二维线性化欧拉方程在平行流附近的渐近性态和渐近稳定性。我们专注于光谱稳定射流剖面与stationary streamlinessuch，一个案例，以前没有研究过。我们描述了一种新的动力学现象：定常流线处涡量的耗尽。一个意想不到的结果是，速度衰减了很大的时间与幂律，类似的情况下发生的奥尔机制的底部流动没有固定的流线。理论上预测了速度的渐近行为和涡量的渐近分布，并与直接数值模拟进行了比较。我们认为，即使在没有任何耗散机制，这些流速的渐近稳定性。
We study the asymptotic behavior and the asymptotic stability of the two-dimensional Euler equations and of the two-dimensional linearized Euler equations close to parallel flows. We focus on spectrally stable jet profileswith stationary streamlinessuch that, a case that has not been studied previously. We describe a new dynamical phenomenon: the depletion of the vorticity at the stationary streamlines. An unexpected consequence, is that the velocity decays for large times with power laws, similarly to what happens in the case of the Orr mechanism for base flows without stationary streamlines. The asymptotic behaviors of velocity and the asymptotic profiles of vorticity are theoretically predicted and compared with direct numerical simulations. We argue on the asymptotic stability of these flow velocities even in the absence of any dissipative mechanisms.
影响因子：
3.7
作者：
M. Turner;A. Gilbert
通讯作者：
M. Turner;A. Gilbert