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Analytical solution of problem about moderately strong evaporation (condensation) for one-dimensional kinetic equation

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A. V. Latyshev, A. A. Yushkanov

Mathematical Physics · Submitted 17 Jun 2014

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

The authors' main claim For one-dimensional linear kinetic equations analytical solutions of problems about moderately strong evaporation (condensation), when frequency of collisions of molecules is constant, are received .

how it is stated · asserted 1.00 read the record →

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arXiv ID1406.4218 (version 1)
Pith IDGSNWBPTJ, Pith's permanent record of this paper and its review
CitationA. A. Yushkanov, A. V. Latyshev. "Analytical solution of problem about moderately strong evaporation (condensation) for one-dimensional kinetic equation." arXiv:1406.4218 (2014). https://pith.science/paper/GSNWBPTJ
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,478 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.48 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

For one-dimensional linear kinetic equations analytical solutions of problems about moderately strong evaporation (condensation), when frequency of collisions of molecules is constant, are received . The equation and distribution function are linearize concerning the absolute Maxwellian, given far from a wall. Quantities of of temperature and concentration jumps are found. Distributions of concentration, mass velocity and temperature are constructed.

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 For one-dimensional linear kinetic equations analytical solutions of problems about moderately strong evaporation (condensation), when frequency of collisions of molecules is constant, are received . contribution 0.88 0.89 0.53 asserted 1.00
s1 The equation and distribution function are linearize concerning the absolute Maxwellian, given far from a wall. method 0.99 0.79 0.06 asserted 0.99
s2 Quantities of of temperature and concentration jumps are found. result 0.99 0.90 0.30 asserted 1.00
s3 Distributions of concentration, mass velocity and temperature are constructed. result 0.77 0.90 0.23 asserted 1.00

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
levels run
  • 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

For one-dimensional linear kinetic equations analytical solutions of problems about moderately strong evaporation (condensation), when frequency of collisions of molecules is constant, are received . The equation and distribution function are linearize concerning the absolute Maxwellian, given far from a wall. Quantities of of temperature and concentration jumps are found. Distributions of concentration, mass velocity and temperature are constructed.

Human review

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 2 sentences without a confident label

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