The nonlinear transport equation with delayed neutrons

DOI10.1080/00411459708221780zbMath0921.45005OpenAlexW2081362446MaRDI QIDQ4398422

Yong Hao, Xue-Zhi Li

Publication date: 15 September 1999

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459708221780

zbMATH Keywords

convergenceevolution equationiterative methodstrong solutionmild solutionlocal solutionnonlinear transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (2)

Some fixed point theorems in Banach spaces and application to a transport equation with delayed neutrons ⋮ Nonlinear semigroup approach to transport equations with delayed neutrons

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Spectral properties and asymptotic behavior of the linear transport equation
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• The initial-value transport problem for monoenergetic neutrons in an infinite slab with delayed production
• Solution of a nonlinear Boltzmann equation for neutron transport in L\(^1\) space
• On nonlinear neutron transport equations
• An asymptotic expansion in the theory of neutron transport
• Method of Successive Approximations for Nonlinear Stationary Transport Equations
• On the radial projection in normed spaces

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