On the nonlinear, spatially homogeneous Boltzmann equation with an external source: exact generating functions for all moments

DOI10.1007/BF00953675zbMath0606.76095MaRDI QIDQ1085004

B. George

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

exact solutiongenerating functionBoltzmann equationsource termmoment methodLie group methodsinfinite system of first-order differential equationsisotropic external sourcesimilarity form

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Applications of Lie groups to the sciences; explicit representations (22E70) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (1)

Particle transport in a host medium with an external source: Exact solutions for a nonlinear homogeneous Boltzmann equation

Cites Work

• Similarity methods for differential equations
• Solutions to the nonlinear Boltzmann equation for particle transport in a host medium
• Unnamed Item

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