Time behavior of thermal neutrons in moderating media

DOI10.1016/0022-247X(69)90193-0zbMath0179.47202MaRDI QIDQ2534573

Yanyan Li

Publication date: 1969

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (24)

Onsager symmetries in field-dependent flows of rarefied molecular gases ⋮ Spectral theory of neutron transport semigroups with partly elastic collision operators ⋮ On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method ⋮ COMPACTNESS RESULTS FOR TRANSPORT EQUATIONS AND APPLICATIONS ⋮ Description of the real point spectrum for a class of neutron transport operators ⋮ New generation theorems in transport theory ⋮ Spectral Theory for Neutron Transport ⋮ Some compactness and interpolation results for linear Boltzmann equation ⋮ Unnamed Item ⋮ The eigenvalue spectrum of the linear Boltzmann operator in \(L^1(R^6)\) and \(L^2(R^6)\) ⋮ Properties of integral transport operators ⋮ New approach on the study of operator matrix ⋮ Existence of complex eigenvalues for the mono-energetic neutron transport equation ⋮ On some measure convolution operators in neutron transport theory ⋮ HOMOGENIZATION OF BOUNDARY VALUE PROBLEMS AND SPECTRAL PROBLEMS FOR NEUTRON TRANSPORT IN LOCALLY PERIODIC MEDIA ⋮ On the variational approximation of the transport operator ⋮ Approximate solution of the transport equation by methods of Galerkin type ⋮ Weak solution and approximate methods for the transport equation ⋮ Effective solution to the initial value problem in neutron thermalization theory ⋮ On the spectrum of relaxation lengths of neutron distributions in a moderator ⋮ A self-adjoint form of the linear transport equation ⋮ Optimal spectral theory of the linear Boltzmann equation ⋮ Spectral properties of the neutron transport equation ⋮ Nonhomogeneous boundary conditions in neutron transport

Cites Work

• On the spectrum of neutron transport equation in finite bodies
• Eigenvalues of the neutron transport operator for a homogeneous finite moderator
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Complete continuity of the free gas scattering operator in neutron thermalization theory
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