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Asymptotic analysis of the linear Boltzmann equation
Author(s) -
Borysiewicz M.,
Mika J.,
Spiga G.,
Neunzert H.
Publication year - 1981
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670030128
Subject(s) - mathematics , boltzmann equation , mathematical analysis , boltzmann constant , boundary value problem , bilinear form , bilinear interpolation , zero (linguistics) , asymptotic analysis , physics , thermodynamics , linguistics , statistics , philosophy , quantum mechanics
The stiff boundary value problem for the time‐independent linear Boltzmann equation is considered in the variational formulation in terms of the coercive symmetric bilinear form. It is shown that it is asymptotically equivalent to the related variational diffusion problem when the stiffness parameter tends to zero. Higher order perturbations are also discussed.