Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear forcing in the resolvent analysis of exact coherent states of
  the Navier-Stokes equations   The resolvent analysis of McKeon & Sharma (2010) recasts the Navier-Stokes
equations into an input/output form in which the nonlinear term is treated as a
forcing that acts upon the linear dynamics to yield a velocity response. The
framework has shown promise with regards to producing low-dimensional
representations of exact coherent states. Previous work has focused on a
primitive variable output; here we show a velocity-vorticity formulation of the
governing equations along with a Helmholtz decomposition of the nonlinear
forcing term reveals a simplified input/output form in the resolvent analysis.
This approach leads to an improved method for compact representations of exact
coherent states for both forcing and response fields, with a significant
reduction in degrees of freedom in comparison to the primitive variable
approach.

31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an