Discrete velocity models with general boundary conditions in a slab

DOI<link itemprop=identifier href="https://doi.org/10.1002/1099-1476(200102)24:3<137::AID-MMA197>3.0.CO;2-H" /><137::AID-MMA197>3.0.CO;2-H 10.1002/1099-1476(200102)24:3<137::AID-MMA197>3.0.CO;2-HzbMath0990.76077OpenAlexW2064019791MaRDI QIDQ2709517

Reinhard Illner, Carlo Cercignani

Publication date: 16 April 2001

Full work available at URL: https://doi.org/10.1002/1099-1476(200102)24:3<137::aid-mma197>3.0.co;2-h

zbMATH Keywords

mass conservationexistencekinetic theoryone-parameter family of solutionsSchauder's fixed-point theoremdiscrete velocity modelgeneral linear boundary conditionsgas between parallel plates

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Cites Work

• Unnamed Item
• Measure solutions of the steady Boltzmann equation in a slab
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• A boundary value problem for discrete-velocity models
• Boundary value problems for the steady Boltzmann equation
• Measure solutions for the steady nonlinear Boltzmann equation in a slab
• Solutions to the discrete Boltzmann equation with general boundary conditions
• A global existence theorem for the initial-boundary-value problem for the Boltzmann equation when the boundaries are not isothermal
• On diffuse reflection at the boundary for the Boltzmann equation and related equations
• Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions
• Steady solutions of the nonlinear Boltzmann equation

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