Oscillating and absolute Maxwellians: Exact solutions for (d>1)-dimensional Boltzmann equations

DOI10.1063/1.527094zbMath0592.76113OpenAlexW2050543880MaRDI QIDQ3722125

Henri Cornille

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527094

zbMATH Keywords

inhomogeneous distributionsclass of exact solutionsenergy conservationsBKW exact solutionequilibrium absolute Maxwellian statesexact inhomogeneous distributionslinear part of the Boltzmann equationsMaxwell particlesmultidimensional nonlinear Boltzmann equationsoscillating external forcesoscillating Maxwelliansoutside forcesoverpopulation of high velocity particles

Mathematics Subject Classification ID

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

Related Items (2)

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

Cites Work

• On generating exact solutions of the Maxwell-Boltzmann equation
• Exact solution for the spatially inhomogeneous nonlinear Kac model of the Boltzmann equation
• Some classes of exact solutions of the nonlinear Boltzmann equation

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