Pith. Sign in

RECORD

Solution of the Kramers' problem about isothermal sliding of moderately dense gas with accomodation boundary conditions

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
A. V. Latyshev, A. D. Kurilov

Mathematical Physics · Submitted 30 Dec 2014

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

The authors' main claim The solution has been received in the form of Neumann's number.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1412.8585 (version 1)
Pith IDX4FN63GI, Pith's permanent record of this paper and its review
CitationA. D. Kurilov, A. V. Latyshev. "Solution of the Kramers' problem about isothermal sliding of moderately dense gas with accomodation boundary conditions." arXiv:1412.8585 (2014). https://pith.science/paper/X4FN63GI
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, 4,847 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.12 · compares with prior results 0.09 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Half-space boundary Kramers' problem about isothermal sliding of moderate dense gas with accomodation boundary conditions along a flat firm surface is solving. The new method of the solution of boundary problems of the kinetic theory is applied (see JVMMF, 2012, 52:3, 539-552). The method allows to receive the solution with arbitrary degree of accuracy. The idea of representation of boundary condition on distribution function in the form of source in the kinetic equation serves as the basis for the method mentioned above. By means of Fourier integrals the kinetic equation with a source comes to the Fredholm integral equation of the second kind. The solution has been received in the form of Neumann's number.

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 Half-space boundary Kramers' problem about isothermal sliding of moderate dense gas with accomodation boundary conditions along a flat firm surface is solving. contribution 0.61 0.88 0.25 asserted 1.00
s1 The new method of the solution of boundary problems of the kinetic theory is applied (see JVMMF, 2012, 52:3, 539-552). method 0.80 0.23 0.04 asserted 0.99
s2 The method allows to receive the solution with arbitrary degree of accuracy. method 0.51 0.62 0.15 asserted 0.87
s3 The idea of representation of boundary condition on distribution function in the form of source in the kinetic equation serves as the basis for the method mentioned above. method 0.97 0.34 0.05 asserted 1.00
s4 By means of Fourier integrals the kinetic equation with a source comes to the Fredholm integral equation of the second kind. method 1.00 0.78 0.06 asserted 1.00
s5 The solution has been received in the form of Neumann's number. result 0.85 0.89 0.26 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.51 · evidence from proof or derivation 0.99.

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

Half-space boundary Kramers' problem about isothermal sliding of moderate dense gas with accomodation boundary conditions along a flat firm surface is solving. The new method of the solution of boundary problems of the kinetic theory is applied (see JVMMF, 2012, 52:3, 539-552). The method allows to receive the solution with arbitrary degree of accuracy. The idea of representation of boundary condition on distribution function in the form of source in the kinetic equation serves as the basis for the method mentioned above. By means of Fourier integrals the kinetic equation with a source comes to the Fredholm integral equation of the second kind. The solution has been received in the form of Neumann's number.

Human review

How Pith checks papers → · Full audit of this paper →

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.