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

DOI10.1007/BF00948725zbMath0663.76083OpenAlexW2023482702MaRDI QIDQ1115280

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00948725

zbMATH Keywords

particle densitycollision modeldiffusion of Maxwell moleculeshomogeneous distribution functionsLie group constantsnonlinear isotropic and homogeneous Boltzmann equationremoval parametersunbounded host medium

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

• Application of the similarity method to the nonlinear Boltzmann equation
• On the nonlinear, spatially homogeneous Boltzmann equation with an external source: exact generating functions for all moments
• A generalized BKW solution of the nonlinear Boltzmann equation with removal
• Oscillating and absolute Maxwellians: Exact solutions for (d>1)-dimensional Boltzmann equations
• Solutions to the nonlinear Boltzmann equation for particle transport in a host medium
• Exact similarity solutions for nonlinear particle transport in a host medium
• Some classes of exact solutions of the nonlinear Boltzmann equation
• Global solution to a nonlinear integral evolution problem in particle transport theory

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