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J. Math. Phys. 24, 14 (1983); http://dx.doi.org/10.1063/1.525587 (8 pages)

A new mathematical function connected with boundary value problems in kinetic transport theory

Zhe‐ming Liu

Peking Feng‐Yuan Institute of Mechanical and Electric Engineering, Building No. 66, 2–8, Wan‐yuan Lu Rd., Peking, People’s Republic of China

(Received 14 January 1981; accepted 4 September 1981)

A new mathematical function connected with solving the Maxwell transport equation by applying the bimodal two‐stream relaxing distribution is defined. This new function gives a more correct description of the direct nonequilibrium effect in gas molecular distribution on the macroscopic transferring of moment flux. In this paper, the differential equation satisfied by this function, its recurrence relations, and series or asymptotic expansions in various conditions are formulated. The degrees of approximations for these expansions are discussed.

KEYWORDS and PACS

PACS

  • 02.30.-f

    Function theory, analysis

  • 51.10.+y

    Kinetic and transport theory of gases

ARTICLE DATA

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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