On circular flows: Linear stability and damping
نویسندگان
چکیده
منابع مشابه
on the effect of linear & non-linear texts on students comprehension and recalling
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15 صفحه اولViscous symmetric stability of circular flows
The linear stability properties of viscous circular flows in a rotating environment are studied with respect to symmetric perturbations. Through the use of an effective energy or Lyapunov functional, we derive sufficient conditions for Lyapunov stability with respect to such perturbations. For circular flows with swirl velocity V (r) we find that Lyapunov stability is determined by the properti...
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A sufficient condition for graphs with circular flow index less than 4 is found in this paper. In particular, we give a simple proof of a result obtained by Galluccio and Goddyn (Combinatorica, 2002), and obtain a larger family of such graphs. We refer readers to [1], [2] and [7] for the standard terminology and notations in this paper. The following theorem was proved by Galluccio and Goddyn. ...
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Drift wave turbulence is known to self-organize to form axisymmetric macroscopic flows. The basic mechanism for macroscopic flow generation is called inverse energy cascade. Essentially, it is an energy transfer from the short wavelengths to the long wavelengths in the turbulent spectrum due to nonlinear interactions. A class of macroscopic flows, the poloidally symmetric zonal flows, is widely...
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Here, we give a simple proof of this theorem without using linear programming. Proof. Since G is 6-edge-connected, by Tutte [5, Theorem 1] or NashWilliams [4, Theorem 1], let T1,T2,T3 be three edge disjoint spanning trees of G. Let Pi be a parity subgraph of Ti (for i=1,2 only). Now fixing some orientation of G. Since P1∪P2 and G\E(P1) are even graphs, let f1 be a nowhere-zero 2-flow with suppo...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2017
ISSN: 0022-0396
DOI: 10.1016/j.jde.2017.08.026