Homogenization of a Nonlinear Neutron Transport Problem
作者： K. Jarmouni-Idrissi , L. Thevenot
DOI: 10.1081/TT-120003969
关键词: Stochastic theory 、 Nonlinear system 、 Mathematics 、 Mathematical analysis 、 Neutron transport 、 Compact space 、 Homogenization (chemistry) 、 Kinetic equations
摘要: ABSTRACT We consider a nonlinear kinetic equation arising in the stochastic theory of neutron transport. The different cross-sections are assumed to be locally space-periodic with period order ϵ. study and characterize weak limit problem as ϵ tends zero. proof relies on compactness nonlocal polynomial nonlinearities problem.
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