Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-sustained elastoinertial Tollmien-Schlichting waves   Direct simulations of two-dimensional plane channel flow of a viscoelastic
fluid at Reynolds number Re = 3000 reveal the existence of a family of
attractors whose structure closely resembles the linear Tollmien-Schlichting
(TS) mode, and in particular exhibits strongly localized stress fluctuations at
the critical layer position of the TS mode. At the parameter values chosen,
this solution branch is not connected to the nonlinear TS solution branch found
for Newtonian flow, and thus represents a solution family that is nonlinearly
self-sustained by viscoelasticity. The ratio between stress and velocity
fluctuations is in quantitative agreement for the attractor and the linear TS
mode, and increases strongly with Weissenberg number, Wi. For the latter, there
is a transition in the scaling of this ratio as Wi increases, and the Wi at
which the nonlinear solution family comes into existence is just above this
transition. Finally, evidence indicates that this branch is connected through
an unstable solution branch to two-dimensional elastoinertial turbulence (EIT).
These results suggest that, in the parameter range considered here, the bypass
transition leading to EIT is mediated by nonlinear amplification and
self-sustenance of perturbations that excite the Tollmien-Schlichting mode.

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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex