On nonlinear neutron transport equations

DOI10.1016/0022-247X(73)90165-0zbMath0269.45018OpenAlexW1984666165MaRDI QIDQ2563287

Chia-Ven Pao

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0022-247x(73)90165-0

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Equations involving nonlinear operators (general) (47J05) Other nonlinear integral equations (45G10)

Related Items (8)

THE LINEARIZED STABILITY FOR NONLINEAR TRANSPORT EQUATION ⋮ Streaming operators and semigroups ⋮ A mixed problem for a nonstationary system of nonlinear integro-differential equations ⋮ The nonlinear transport equation with delayed neutrons ⋮ A Nonlinear Boltzmann Equation in Transport Theory ⋮ A nonlinear neutron transport initial value problem ⋮ Solution of a nonlinear Boltzmann equation for neutron transport in L\(^1\) space ⋮ On nonlinear time-dependent multivelocity transport equations

Cites Work

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• Solution of the linearized Boltzmann transport equation for the slab geometry
• Non-linear equations of evolution
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Nonlinear semigroups in Hilbert space
• Nonlinear semigroups and evolution equations
• Perturbational aspects of the linear transport equation
• The existence and stability of solutions of nonlinear operator differential equations
• On the stability of nonlinear operator differential equations, and applications
• The initial value problem for neutron transport in a slab with perfect reflection boundary conditions
• Spectra of perturbed semigroups with applications to transport theory
• Linearized Boltzmann equation in \(L^ 1\) space
• On the radial projection in normed spaces

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