A KIND OF SINGULAR PERTURBATION METHOD FOR SOLVING THE BOLTZMANN EQUATION WITH SMALL KNUDSEN NUMBER

DING E-JIANG; HUANG ZU-QIA

doi:10.7498/aps.33.722

Abstract
A kind of singular perturbation method is used to remove secular terms in Hilbert expansion and Enskog expansion of the normal solution and those in Grad expansion of the "initial layer" solution of Boltzmann equation (B.e.). The problem of solving B.e. in the "boundary layer" is reduced to that of solving a set of linear algebraic equations.
Authors and contacts
DING E-JIANG,

HUANG ZU-QIA

1.
北京师范大学低能核物理研究所
References

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[11]	YAN ZHEN-YA, ZHANG HONG-QING. SIMILARITY REDUCTIONS FOR A NONLINEAR WAVE EQUATION WITH DAMPING TERM. Acta Physica Sinica, 2000, 49(11): 2113-2117. doi: 10.7498/aps.49.2113
[12]	Yu Hui-Dan, Zhao Kai-Hua. . Acta Physica Sinica, 2000, 49(4): 816-818. doi: 10.7498/aps.49.816
[13]	LIU MU-REN, KONG LING-JIANG. EFFECTIVE METHOD TO DECREASE VISCOSITY IN LATTICE BOLTZMANN EQUATION. Acta Physica Sinica, 1996, 45(3): 370-372. doi: 10.7498/aps.45.370
[14]	HU SI-ZHU, SU RU-KENG. BOUND STATES OF THE DIRAC EQUATIONS WITH HULTHéN-TYPE POTENTIALS. Acta Physica Sinica, 1991, 40(8): 1201-1206. doi: 10.7498/aps.40.1201
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[16]	DING E-JIANG, HUANG ZU-QIA. ON THE SINGULAR PERTURBATION SOLUTION OF BOLTZMANN EQUATION (Ⅳ)——EXTENSION TO NON-MAXWELL MOLECULES. Acta Physica Sinica, 1985, 34(2): 225-234. doi: 10.7498/aps.34.225
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[19]	DING E-JIANG, HUANG ZU-QIA. ON THE SINGULAR PERTURBATION SOLUTION OF BOLTZMANN EQUATION (Ⅰ). Acta Physica Sinica, 1985, 34(1): 65-76. doi: 10.7498/aps.34.65
[20]	YU CHUEI-PANG. ON THE "CUT AND TRY" METHOD FOR SOLVING THE COMPLICATE NON-LINEAR NETWORK WITH CONSTANT FLUX. Acta Physica Sinica, 1959, 15(11): 588-602. doi: 10.7498/aps.15.588

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Vol. 33, Issue 5 - 1984-03-05

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A KIND OF SINGULAR PERTURBATION METHOD FOR SOLVING THE BOLTZMANN EQUATION WITH SMALL KNUDSEN NUMBER

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A KIND OF SINGULAR PERTURBATION METHOD FOR SOLVING THE BOLTZMANN EQUATION WITH SMALL KNUDSEN NUMBER

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