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Vortex solutions of the evolutionary Ginzburg-Landau type equations

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T. Zuyeva

Mathematical Physics · Submitted 21 Nov 2002

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

The authors' main claim It is shown that there exist the stationary points for the both types of the equations.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath-ph/0211052 (version 1)
Pith IDZYCYHZQQ, Pith's permanent record of this paper and its review
CitationT. Zuyeva. "Vortex solutions of the evolutionary Ginzburg-Landau type equations." arXiv:math-ph/0211052 (2002). https://pith.science/paper/ZYCYHZQQ
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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, 3,534 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.05 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We consider two types of the time-dependent Ginzburg-Landau equation in 2D bounded domains: the heat-flow equation and the Schroedinger equation. The system of ordinary differential equations is obtained that describes the evolution of the vortices. It is shown that there exist the stationary points for the both types of the equations. The motion of the particles is studied and the examples of the trajectories are presented in the cases when the particles move like electric charges and hydrodynamic vortices.

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 We consider two types of the time-dependent Ginzburg-Landau equation in 2D bounded domains: the heat-flow equation and the Schroedinger equation. background 0.60 0.66 0.03 asserted 0.90
s1 The system of ordinary differential equations is obtained that describes the evolution of the vortices. method 0.48 0.90 0.13 asserted 1.00
s2 It is shown that there exist the stationary points for the both types of the equations. result 1.00 0.89 0.31 asserted 1.00
s3 The motion of the particles is studied and the examples of the trajectories are presented in the cases when the particles move like electric charges and hydrodynamic vortices. contribution 0.50 0.88 0.16 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.97.

What was examined, and what was not

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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • 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

We consider two types of the time-dependent Ginzburg-Landau equation in 2D bounded domains: the heat-flow equation and the Schroedinger equation. The system of ordinary differential equations is obtained that describes the evolution of the vortices. It is shown that there exist the stationary points for the both types of the equations. The motion of the particles is studied and the examples of the trajectories are presented in the cases when the particles move like electric charges and hydrodynamic vortices.

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