Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 143, Number 3, Pages 437–454
DOI: https://doi.org/10.4213/tmf1824 (Mi tmf1824) 		 
This article is cited in 5 scientific papers (total in 5 papers)

The Method of Singular Equations in Boundary Value Problems in Kinetic Theory

A. V. Latyshev, A. A. Yushkanov

Moscow State Region University
Full-text PDF (238 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf1824
Abstract: We develop a new effective method for solving boundary value problems in kinetic theory. The method permits solving boundary value problems for mirror and diffusive boundary conditions with an arbitrary accuracy and is based on the idea of reducing the original problem to two problems of which one has a diffusion boundary condition for the reflection of molecules from the wall and the other has a mirror boundary condition. We illustrate this method with two classical problems in kinetic theory: the Kramers problem (isothermal slip) and the thermal slip problem. We use the Bhatnagar–Gross–Krook equation (with a constant collision frequency) and the Williams equation (with a collision frequency proportional to the molecular velocity).
Keywords: boundary value problem, kinetic equation, Kramers problem, thermal slip problem, isothermal slip coefficient, thermal slip coefficient.
Received: 28.09.2004
Revised: 26.11.2004
English version:
Theoretical and Mathematical Physics, 2005, Volume 143, Issue 3, Pages 854–869
DOI: https://doi.org/10.1007/s11232-005-0111-0
Bibliographic databases:
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “The Method of Singular Equations in Boundary Value Problems in Kinetic Theory”, TMF, 143:3 (2005), 437–454; Theoret. and Math. Phys., 143:3 (2005), 854–869
Citation in format AMSBIB
\Bibitem{LatYus05}
\by A.~V.~Latyshev, A.~A.~Yushkanov
\paper The Method of Singular Equations in Boundary Value Problems in Kinetic Theory
\jour TMF
\yr 2005
\vol 143
\issue 3
\pages 437--454
\mathnet{http://mi.mathnet.ru/tmf1824}
\crossref{https://doi.org/10.4213/tmf1824}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2163810}
\zmath{https://zbmath.org/?q=an:1178.82065}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2005TMP...143..854L}
\elib{https://elibrary.ru/item.asp?id=17702880}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 143
\issue 3
\pages 854--869
\crossref{https://doi.org/10.1007/s11232-005-0111-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000230528300009}
Linking options:
  • https://www.mathnet.ru/eng/tmf1824
  • https://doi.org/10.4213/tmf1824
  • https://www.mathnet.ru/eng/tmf/v143/i3/p437
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:465
    Full-text PDF :229
    References:83
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024