The nonlinear Boltzmann equation with partially absorbing boundary conditions. Global existence and uniqueness results

DOI10.1063/1.527560zbMath0637.76071OpenAlexW2089145429MaRDI QIDQ3777622

Giuseppe Toscani, Vladimir A. Protopopescu

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527560

zbMATH Keywords

initial-boundary value problemboundary conditionsuniqueness theoremBoltzmann equationglobal existenceparallelepiped

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (1)

Stability estimates of the Boltzmann equation in a half space

Cites Work

• A non-standard approach to the Boltzmann equation
• On the discrete velocity models of the Boltzmann equation in several dimensions
• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• Loeb solutions of the Boltzmann equation
• The Boltzmann equation: global existence for a rare gas in an infinite vacuum
• On the nonlinear Boltzmann equation in unbounded domains
• The Boltzmann equation. I. Uniqueness and local existence
• Global solutions of the Boltzmann equation in a bounded convex domain
• On the classical solutions of the boltzmann equation
• Initial and boundary value problems in kinetic theory part II: The Boltzmann equation
• 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
• The Boltzmann equation in the kinetic theory of gases

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