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Turbulence phenomena for viscous fluids. Vortices and instability

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Mauro Fabrizio

Fluid Dynamics · Submitted 26 Dec 2019

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

The authors' main claim Hence, we conclude the paper with the differential system describing the water vorticity and its thermodynamic compatibility.

how it is stated · asserted 0.95 read the record →

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arXiv ID1912.11836 (version 1)
Pith IDECVIMQFS, Pith's permanent record of this paper and its review
CitationMauro Fabrizio. "Turbulence phenomena for viscous fluids. Vortices and instability." arXiv:1912.11836 (2019). https://pith.science/paper/ECVIMQFS
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The compiled record

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, 5,508 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.05 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

Through the Ginzburg-Landau and the Navier-Stokes equations, we study turbulence phenomena for viscous incompressible and compressible fluids by a second order phase transition. For this model, the velocity is defined by the sum of classical and whirling components. Moreover, the laminar-turbulent transition is controlled by rotational effects of the fluid. Hence, the thermodynamic compatibility of the differential system is proved. The same model is used to understand the origins of tornadoes and their behavior and the birth of the vortices resulting from the fall of water in a vertical tube. Finally, we demonstrate how the weak Coriolis force is able to change the rotation direction of the vortices by modifying the minima of the Ginzburg-Landau equation. Hence, we conclude the paper with the differential system describing the water vorticity and its thermodynamic compatibility.

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 Through the Ginzburg-Landau and the Navier-Stokes equations, we study turbulence phenomena for viscous incompressible and compressible fluids by a second order phase transition. contribution 0.77 0.89 0.10 asserted 1.00
s1 For this model, the velocity is defined by the sum of classical and whirling components. method 0.95 0.66 0.03 asserted 1.00
s2 Moreover, the laminar-turbulent transition is controlled by rotational effects of the fluid. result 0.88 0.66 0.14 asserted 1.00
s3 Hence, the thermodynamic compatibility of the differential system is proved. result 0.93 0.89 0.14 asserted 1.00
s4 The same model is used to understand the origins of tornadoes and their behavior and the birth of the vortices resulting from the fall of water in a vertical tube. contribution 0.89 0.69 0.07 asserted 0.98
s5 Finally, we demonstrate how the weak Coriolis force is able to change the rotation direction of the vortices by modifying the minima of the Ginzburg-Landau equation. result 0.96 0.89 0.20 asserted 1.00
s6 Hence, we conclude the paper with the differential system describing the water vorticity and its thermodynamic compatibility. contribution 0.64 0.91 0.45 asserted 0.95

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

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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

Through the Ginzburg-Landau and the Navier-Stokes equations, we study turbulence phenomena for viscous incompressible and compressible fluids by a second order phase transition. For this model, the velocity is defined by the sum of classical and whirling components. Moreover, the laminar-turbulent transition is controlled by rotational effects of the fluid. Hence, the thermodynamic compatibility of the differential system is proved. The same model is used to understand the origins of tornadoes and their behavior and the birth of the vortices resulting from the fall of water in a vertical tube. Finally, we demonstrate how the weak Coriolis force is able to change the rotation direction of the vortices by modifying the minima of the Ginzburg-Landau equation. Hence, we conclude the paper with the differential system describing the water vorticity and its thermodynamic compatibility.

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