Blow-up of solutions of the gain-term-only Boltzmann equation

DOI10.1002/mma.1670090120zbMath0663.76081OpenAlexW2066912052MaRDI QIDQ3815037

Reinhard Illner, Marvin Shinbrot

Publication date: 1987

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670090120

zbMATH Keywords

global solutionBoltzmann equationmean free pathcloud of gasinfinite vacuum

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (2)

On blowup for gain-term-only classical and relativistic Boltzmann equations ⋮ Validity and failure of the Boltzmann approximation of kinetic annihilation

Cites Work

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• Loeb solutions of the Boltzmann equation
• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• The Boltzmann equation. I. Uniqueness and local existence
• On the existence of global solutions of mixed problem for non-linear Boltzmann equation
• The Boltzmann equation: Flow of cloud of gas past a body
• On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability

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