D. N. Zubarev, A. D. Khon'kin, “Method of construction of normal solutions of kinetic equations by means of boundary conditions”, TMF, 11:3 (1972), 403–412; Theoret. and Math. Phys., 11:3 (1972), 601

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Teoreticheskaya i Matematicheskaya Fizika, 1972, Volume 11, Number 3, Pages 403–412 (Mi tmf2879)

This article is cited in 10 scientific papers (total in 10 papers)

Method of construction of normal solutions of kinetic equations by means of boundary conditions

D. N. Zubarev, A. D. Khon'kin

Full-text PDF (1016 kB) Citations (10)

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Abstract: A method is proposed for constructing normal solutions of kinetic equations; in it boundary conditions select solutions that tend in the limit

$t\to-\infty$ to a local-equilibrium Maxwellian distribution. This is achieved by adding infinitesimally small terms to the kinetic equations.

Received: 15.10.1971

English version:
Theoretical and Mathematical Physics, 1972, Volume 11, Issue 3, Pages 601–607
DOI: https://doi.org/10.1007/BF01028377

Bibliographic databases:

Language: Russian

Citation: D. N. Zubarev, A. D. Khon'kin, “Method of construction of normal solutions of kinetic equations by means of boundary conditions”, TMF, 11:3 (1972), 403–412; Theoret. and Math. Phys., 11:3 (1972), 601–607

Citation in format AMSBIB

\Bibitem{ZubKho72}

\by D.~N.~Zubarev, A.~D.~Khon'kin

\paper Method of construction of normal solutions of kinetic equations by means of boundary conditions

\jour TMF

\yr 1972

\vol 11

\issue 3

\pages 403--412

\mathnet{http://mi.mathnet.ru/tmf2879}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=475530}

\transl

\jour Theoret. and Math. Phys.

\yr 1972

\vol 11

\issue 3

\pages 601--607

\crossref{https://doi.org/10.1007/BF01028377}

Linking options:

https://www.mathnet.ru/eng/tmf2879

https://www.mathnet.ru/eng/tmf/v11/i3/p403

This publication is cited in the following 10 articles:

S. I. Serdyukov, “Higher order heat and mass transfer equations and their justification in extended irreversible thermodynamics”, Theor Found Chem Eng, 47:2 (2013), 89
Matteo Colangeli, “Nonequilibrium response from the dissipative Liouville equation”, J. Stat. Mech., 2010:12 (2010), P12019
M. V. Tokarchuk, I. P. Omelyan, A. E. Kobryn, “Kinetic equation for liquids with a multistep potential of interaction: Calculation of transport coefficients”, Phys. Rev. E, 62:6 (2000), 8021
A.D Khon'kin, “The Taylor and hyperbolic models of unsteady longitudinal dispersion of a passive impurity in convection-diffusion processes”, Journal of Applied Mathematics and Mechanics, 64:4 (2000), 607
A.E. Kobryn, I.P. Omelyan, M.V. Tokarchuk, “Normal solution to the Enskog-Landau kinetic equation: boundary conditions method”, Physics Letters A, 223:1-2 (1996), 37
D. N. Zubarev, “Contemporary methods of the statistical theory of nonequilibrium processes”, J. Soviet Math., 16:6 (1981), 1509–1571
B. M. Gurevich, V. I. Oseledets, “Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles”, J. Soviet Math., 13:4 (1980), 455–478
G.O. Balabanyan, “The construction of nonlocal transport laws with memory by means of generalized normal solutions of the Boltzmann kinetic equation”, Physics Letters A, 54:6 (1975), 423
G.O. Balabanyan, “The construction of generalized normal solutions of the Boltzmann kinetic equation”, Physics Letters A, 53:3 (1975), 189
G. O. Balabanyan, A. D. Khon'kin, “Construction of generalized normal solutions of kinetic equations for a mixture of gases”, Theoret. and Math. Phys., 18:1 (1974), 92–97

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	80
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