Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the relation between linear stability analysis and mean flow
  properties in wakes   In recent studies on wake stability, it has been observed that a simple
linear stability analysis applied to the mean flow instead of the basic flow,
could give an accurate prediction of the global mode selected frequency,
although these phenomena are strongly non-linear. In this letter, we study the
transient regime between the stationary (so called basic state) and
unstationary solutions of the wake of a circular cylinder at Re=150. We show
that the shift of the global frequency as a function of time due to strong
non-linear effects, can be interpreted by a continuous mean flow correction
induced by the growth of the instability. We show that during this transient
regime, the mean state as a function of time plays the role of an instantaneous
basic state on which the global frequency can be determined linearly.

21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat