Solution of a nonlinear Boltzmann equation for neutron transport in L\(^1\) space

DOI10.1007/BF00281510zbMath0261.45010OpenAlexW2065877280MaRDI QIDQ2560570

Chia-Ven Pao

Publication date: 1973

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00281510

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (6)

Positive solution of a time and energy dependent neutron transport problem ⋮ Asymptotic behavior of the classical time dependent solution for particle transport in a finite body with [0,v_M ENERGY] ⋮ The nonlinear transport equation with delayed neutrons ⋮ A Nonlinear Boltzmann Equation in Transport Theory ⋮ Sistemi differenziali con struttura composita. Problemi non lineari di valori integro-differenziali al contorno concernenti una classe di equazioni integro-differenziali con operatori parabolici ⋮ An iterative method for solving a non-stationary radiation diffusion system

Cites Work

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• Dissipative operators in a Banach space
• On the stability of nonlinear operator differential equations, and applications
• Spectra of perturbed semigroups with applications to transport theory
• Linearized Boltzmann equation in \(L^ 1\) space
• Propagation of chaos for the Boltzmann equation
• On solution of the nonlinear Boltzmann equation with a cut-off in an unbounded domain
• On nonlinear neutron transport equations
• On the radial projection in normed spaces

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