On the initial boundary value problem of the linearized Boltzmann equation in an exterior domain

DOI10.3792/pjaa.56.12zbMath0462.76077OpenAlexW2059477901MaRDI QIDQ1153014

Kiyoshi Asano, Seiji Ukai

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.12

zbMATH Keywords

resolventexterior domaininitial boundary value problemcontraction semigrouplinearized Boltzmann equation

Mathematics Subject Classification ID

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

Related Items (10)

Steady solutions of the Boltzmann equation for a gas flow past an obstacle. II. Stability ⋮ Hypocoercivity for perturbation theory and perturbation of hypocoercivity for confined Boltzmann-type collisional equations ⋮ Exterior problem for the Boltzmann equation with temperature difference: asymptotic stability of steady solutions ⋮ Initial-boundary value problems for the Boltzmann equation: Global existence of weak solutions ⋮ Decay and continuity of the Boltzmann equation in bounded domains ⋮ The point spectrum of the linearized Boltzmann operator with an external-force potential in an exterior domain ⋮ On the Cauchy problem of the Boltzmann equation with a soft potential ⋮ Steady solutions of the Boltzmann equation for a gas flow past an obstacle. I: Existence ⋮ The Boltzmann Equation in Bounded Domains ⋮ Initial-boundary value problems for the boltzmann equation

Cites Work

• Global solutions to the initial value problem for the nonlinear Boltzmann equation
• The first and second fluid approximation to the linearized Boltzmann equation
• On the global solutions of the initial boundary value problem for the Boltzmann equation with an external force
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