Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2011-6pp.619-630

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V.V. Kozlov, "The equations of motion of a collisionless continuum," J. Appl. Math. Mech. 75 (6), 619-630 (2011)
Year 2011 Volume 75 Issue 6 Pages 619-630
Title The equations of motion of a collisionless continuum
Author(s) V.V. Kozlov (Moscow, Russia, kozlov@pran.ru)
Abstract The equations of motion of a collisionless continuum are derived within an Eulerian approach. They differ from the classical equations of motion of an ideal gas, which take into account heat conduction phenomena. Several problems related to the weak convergence of the solutions of the equations of motion of a continuum when there is an unbounded increase in time are discussed. The problem of the correctness of the operation of truncating the exact infinite chain of equations of a collisionless gas is examined.
Received 29 April 2010
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