Kinetic Equations with Reflecting Boundary Conditions

DOI10.1137/0517066zbMath0609.45009OpenAlexW2073462458MaRDI QIDQ3749564

Vladimir A. Protopopescu, Cornelis V. M. van der Mee

Publication date: 1986

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0517066

zbMATH Keywords

existenceuniquenessHilbert spaceinvariant subspacessemigroup theoryBGK modelrarefied gas dynamicsabstract differential equationsalbedo operatorFredholmpositive self-adjoint operatorpartial reflectionChandrasekhar functionskinetics equationtime independent linear transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Gas dynamics (general theory) (76N15) Groups and semigroups of linear operators (47D03) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

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