Spectral theory of neutron transport semigroups with partly elastic collision operators
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Publication:3442134
DOI10.1063/1.2397557zbMath1112.82055OpenAlexW4299054704MaRDI QIDQ3442134
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2397557
One-parameter semigroups and linear evolution equations (47D06) Nuclear reactor theory; neutron transport (82D75) Integro-differential operators (47G20)
Related Items (6)
On the asymptotic spectrum of a transport operator with elastic and inelastic collision operators ⋮ Spectral Theory for Neutron Transport ⋮ New approach on the study of operator matrix ⋮ Existence of invariant densities and time asymptotics of conservative linear kinetic equations on the torus without spectral gaps ⋮ Fine spectral analysis of isotropic partly elastic neutron transport operators ⋮ Spectral analysis of non-compact symmetrizable operators on Hilbert spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Spectral properties and asymptotic behavior of the linear transport equation
- Spectral properties of the neutron transport equation
- Positivity in time dependent linear transport theory
- A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory
- A perturbation theorem for the essential spectral radius of strongly continuous semigroups
- The critical spectrum of a strongly continuous semigroup.
- On weakly compact operators
- Time behavior of thermal neutrons in moderating media
- Spectra of perturbed semigroups with applications to transport theory
- Optimal spectral theory of the linear Boltzmann equation
- On linear kinetic equations involving unbounded cross-sections
- An asymptotic expansion in the theory of neutron transport
- Space homogeneous solutions of the Boltzmann equation describing electron-phonon interactions in semiconductors
- A spectral, mapping theorem for the exponential function in ltnear transport theory
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