Boundary layer analysis in the homogenization of neutron transport equations in a cubic domain

作者: Guillaume Bal

DOI:

关键词: Mathematical analysisBoundary layerConvection–diffusion equationNeutronBoundary value problemNeutron transportDiffusion equationExponential growthHomogenization (chemistry)Mathematical optimizationPhysics

摘要: … analysis of the boundary layer problem with boundary and … accurate diffusion approximations of the transport equation. An … used to obtain the well-posedness of the diffusion equations. …

参考文章(17)
Edward W. Larsen, Michael Williams, Neutron Drift in Heterogeneous Media Nuclear Science and Engineering. ,vol. 65, pp. 290- 302 ,(1978) , 10.13182/NSE78-A27158
Françoise Chatelin, Spectral approximation of linear operators Society for Industrial and Applied Mathematics. ,(2011) , 10.1137/1.9781611970678
Rémi Sentis, Study of the Corrector of the Eigenvalue of a Transport Operator SIAM Journal on Mathematical Analysis. ,vol. 16, pp. 151- 166 ,(1985) , 10.1137/0516011
Laurent Dumas, François Golse, Homogenization of transport equations Siam Journal on Applied Mathematics. ,vol. 60, pp. 1447- 1470 ,(2000) , 10.1137/S0036139997332087
François Golse, Pierre-Louis Lions, Benoît Perthame, Rémi Sentis, Regularity of the moments of the solution of a Transport Equation Journal of Functional Analysis. ,vol. 76, pp. 110- 125 ,(1988) , 10.1016/0022-1236(88)90051-1
Juhani Pitkäranta, Estimates for the Derivatives of Solutions to Weakly Singular Fredholm Integral Equations SIAM Journal on Mathematical Analysis. ,vol. 11, pp. 952- 968 ,(1980) , 10.1137/0511085
Fadil Santosa, Michael Vogelius, First-order corrections to the homogenized eigenvalues of a periodic composite medium Siam Journal on Applied Mathematics. ,vol. 53, pp. 1636- 1668 ,(1993) , 10.1137/0153076
François Golse, Shi Jin, C. David Levermore, The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method SIAM Journal on Numerical Analysis. ,vol. 36, pp. 1333- 1369 ,(1999) , 10.1137/S0036142997315986