A large data existence result for the stationary Boltzmann equation in a cylindrical geometry

DOI10.1007/BF02383609zbMath1099.35017OpenAlexW2079237185MaRDI QIDQ2368526

Leif Arkeryd, Anne Nouri

Publication date: 21 April 2006

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02383609

zbMATH Keywords

coaxial rotating cylindershard forces

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (5)

The stationary Boltzmann equation for a two-component gas for soft forces in the slab ⋮ The stationary nonlinear Boltzmann equation in a Couette setting with multiple, isolated \(L^q\)-solutions and hydrodynamic limits ⋮ Stability for Rayleigh-Benard convective solutions of the Boltzmann equation ⋮ Hypocoercivity ⋮ Existence and uniqueness of solutions for the Couette problem

Cites Work

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• The mathematical theory of dilute gases
• On the Milne problem and the hydrodynamic limit for a steady Boltzmann equation model
• Kinetic theory and fluid dynamics
• On the convergence of solutions of the enskog equation to solutions of the boltzmann equation
• High Frequency Sound According to the Boltzmann Equation
• \(L^1\) solutions to the stationary Boltzmann equation in a slab

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