DIFFUSION APPROXIMATION AND COMPUTATION OF THE CRITICAL SIZE

作者: C. Bardos , R. Santos , R. Sentis

DOI: 10.1090/S0002-9947-1984-0743736-0

关键词:

摘要: … the diffusion equation, with the Dirichlet boundary condition, … of order e2 we have to build a boundary layer term. Since SA' is … been treated by Bensoussan, Lions and Papanicolaou [4]. …

参考文章(16)
Mark Grigorievich Krein, None, Linear operators leaving invariant a cone in a Banach space Amer. Math. Soc. Transl. Ser. I. ,vol. 10, pp. 199- 325 ,(1950)
Kenneth M. Case, Paul F. Zweifel, G. C. Pomraning, Linear Transport Theory Physics Today. ,vol. 21, pp. 72- 73 ,(1968) , 10.1063/1.3034554
S Albertoni, B Montagnini, On the spectrum of neutron transport equation in finite bodies Journal of Mathematical Analysis and Applications. ,vol. 13, pp. 19- 48 ,(1966) , 10.1016/0022-247X(66)90073-4
P.G. Ciarlet, S. Kesavan, Two-dimensional approximations of three-dimensional eigenvalue problems in plate theory Computer Methods in Applied Mechanics and Engineering. ,vol. 26, pp. 145- 172 ,(1981) , 10.1016/0045-7825(81)90091-8
Ivan Vidav, Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator Journal of Mathematical Analysis and Applications. ,vol. 22, pp. 144- 155 ,(1968) , 10.1016/0022-247X(68)90166-2
Joseph Lehner, G. Milton Wing, On the spectrum of an unsymmetric operator arising in the transport theory of neutrons Communications on Pure and Applied Mathematics. ,vol. 8, pp. 217- 234 ,(1955) , 10.1002/CPA.3160080202
Alain Bensoussan, Jacques-L. Lions, George C. Papanicolaou, Boundary layers and homogenization of transport processes Publications of the Research Institute for Mathematical Sciences. ,vol. 15, pp. 53- 157 ,(1979) , 10.2977/PRIMS/1195188427