Measure solutions for the steady linear Boltzmann equation in a slab

DOI10.1080/00411459908205856zbMath0940.35165OpenAlexW2066859146MaRDI QIDQ4719440

M. C. Giurin, Carlo Cercignani

Publication date: 4 January 2000

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

Full work available at URL: https://doi.org/10.1080/00411459908205856

zbMATH Keywords

Boltzmann equationfixed-point theoremmeasure solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (5)

Existence of Solutions to the Stationary Linear Boltzmann Equation ⋮ \(L^1\) solutions to the stationary Boltzmann equation in a slab ⋮ On Time-Dependent and Stationary Solutions to the Linear Boltzmann Equation ⋮ On Solutions to the Linear Boltzmann Equation for Granular Gases ⋮ Unnamed Item

Cites Work

• Measures on phase space as solutions of the one-dimensional neutron transport equation
• Subcriticality for transport of multiplying particles in a slab
• Existence and Uniqueness Theorems for the Neutron Transport Equation

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