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Exact Solutions of the Boltzmann Equations with a Source. / Grigor’ev, Yu N.; Meleshko, S. V.; Suriyawichitseranee, A.

In: Journal of Applied Mechanics and Technical Physics, Vol. 59, No. 2, 01.03.2018, p. 189-196.

Research output: Contribution to journal › Article › peer-review

Harvard

Grigor’ev, YN, Meleshko, SV & Suriyawichitseranee, A 2018, 'Exact Solutions of the Boltzmann Equations with a Source', Journal of Applied Mechanics and Technical Physics, vol. 59, no. 2, pp. 189-196. https://doi.org/10.1134/S0021894418020013

APA

Grigor’ev, Y. N., Meleshko, S. V., & Suriyawichitseranee, A. (2018). Exact Solutions of the Boltzmann Equations with a Source. Journal of Applied Mechanics and Technical Physics, 59(2), 189-196. https://doi.org/10.1134/S0021894418020013

Vancouver

Grigor’ev YN, Meleshko SV, Suriyawichitseranee A. Exact Solutions of the Boltzmann Equations with a Source. Journal of Applied Mechanics and Technical Physics. 2018 Mar 1;59(2):189-196. doi: 10.1134/S0021894418020013

Author

Grigor’ev, Yu N. ; Meleshko, S. V. ; Suriyawichitseranee, A. / Exact Solutions of the Boltzmann Equations with a Source. In: Journal of Applied Mechanics and Technical Physics. 2018 ; Vol. 59, No. 2. pp. 189-196.

BibTeX

@article{11c392c578c44904a62fde637967dedf,
title = "Exact Solutions of the Boltzmann Equations with a Source",
abstract = "Exact solutions of a nonlinear Boltzmann kinetic equation with a source are constructed in the case of an isotropic distribution function and Maxwell model of isotropic scattering. These solutions are constructed with the use of an equivalence group such that one of its transformations uniquely identifies the class of the source functions that are linear in terms of the distribution function; moreover, the transformed equation has a zero right side. As a result, invariant solutions of the type of the Bobylev–Krook–Wu solutions can be explicitly found, in particular, those that admit physical interpretation.",
keywords = "Boltzmann equation, invariant solutions, isotropic distribution function, source function",
author = "Grigor{\textquoteright}ev, {Yu N.} and Meleshko, {S. V.} and A. Suriyawichitseranee",
year = "2018",
month = mar,
day = "1",
doi = "10.1134/S0021894418020013",
language = "English",
volume = "59",
pages = "189--196",
journal = "Journal of Applied Mechanics and Technical Physics",
issn = "0021-8944",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Exact Solutions of the Boltzmann Equations with a Source

AU - Grigor’ev, Yu N.

AU - Meleshko, S. V.

AU - Suriyawichitseranee, A.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - Exact solutions of a nonlinear Boltzmann kinetic equation with a source are constructed in the case of an isotropic distribution function and Maxwell model of isotropic scattering. These solutions are constructed with the use of an equivalence group such that one of its transformations uniquely identifies the class of the source functions that are linear in terms of the distribution function; moreover, the transformed equation has a zero right side. As a result, invariant solutions of the type of the Bobylev–Krook–Wu solutions can be explicitly found, in particular, those that admit physical interpretation.

AB - Exact solutions of a nonlinear Boltzmann kinetic equation with a source are constructed in the case of an isotropic distribution function and Maxwell model of isotropic scattering. These solutions are constructed with the use of an equivalence group such that one of its transformations uniquely identifies the class of the source functions that are linear in terms of the distribution function; moreover, the transformed equation has a zero right side. As a result, invariant solutions of the type of the Bobylev–Krook–Wu solutions can be explicitly found, in particular, those that admit physical interpretation.

KW - Boltzmann equation

KW - invariant solutions

KW - isotropic distribution function

KW - source function

UR - http://www.scopus.com/inward/record.url?scp=85047399702&partnerID=8YFLogxK

U2 - 10.1134/S0021894418020013

DO - 10.1134/S0021894418020013

M3 - Article

AN - SCOPUS:85047399702

VL - 59

SP - 189

EP - 196

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 2

ER -

ID: 13595456