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Stable and unstable flow regimes for active fluids in the periodic setting

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Christiane Bui, Christian Gesse, Jürgen Saal

Analysis of PDEs · Submitted 14 Jan 2022

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In particular, occuring instability for the manifold of ordered polar states caused by self-propulsion is proved.

how it is stated · asserted 1.00 read the record →

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arXiv ID2201.05476 (version 1)
Pith IDOWOPECDL, Pith's permanent record of this paper and its review
CitationChristiane Bui, Christian Gesse, J\"urgen Saal. "Stable and unstable flow regimes for active fluids in the periodic setting." arXiv:2201.05476 (2022). https://pith.science/paper/OWOPECDL
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,159 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.24 · human participants 0.03 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. In this paper a rigorous analytical justification of (in-)stability within the corresponding regimes is given. In particular, occuring instability for the manifold of ordered polar states caused by self-propulsion is proved. This represents the prerequisite for active turbulence patterns as observed in a number of applications. The approach is carried out in the periodic setting and is based on the generalized principle of linearized (in)-stability related to normally stable and normally hyperbolic equilibria.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. background 0.99 0.16 0.07 asserted 0.97
s1 In this paper a rigorous analytical justification of (in-)stability within the corresponding regimes is given. contribution 1.00 0.95 0.22 asserted 1.00
s2 In particular, occuring instability for the manifold of ordered polar states caused by self-propulsion is proved. result 0.97 0.92 0.55 asserted 1.00
s3 This represents the prerequisite for active turbulence patterns as observed in a number of applications. interpretation 1.00 0.21 0.10 asserted 0.98
s4 The approach is carried out in the periodic setting and is based on the generalized principle of linearized (in)-stability related to normally stable and normally hyperbolic equilibria. method 1.00 0.87 0.06 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. In this paper a rigorous analytical justification of (in-)stability within the corresponding regimes is given. In particular, occuring instability for the manifold of ordered polar states caused by self-propulsion is proved. This represents the prerequisite for active turbulence patterns as observed in a number of applications. The approach is carried out in the periodic setting and is based on the generalized principle of linearized (in)-stability related to normally stable and normally hyperbolic equilibria.

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