Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model

DOI10.1063/1.527514zbMath0641.76070OpenAlexW2030554640MaRDI QIDQ5903599

Henri Cornille

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527514

zbMATH Keywords

periodic solutionsboundary conditionsexplicit solutionssolitonsBoltzmann equationH-Theorembisolitonsgeneral two-velocity modelssix-velocity Broadwell model

Mathematics Subject Classification ID

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

Related Items (4)

Lie group analysis for a multispecies, spatially inhomogeneous, mutually interacting gas mixture ⋮ Exact solutions for discrete kinetic models with ternary collisions ⋮ Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model ⋮ Completely solvable models of the nonlinear Boltzmann equation I. Case of three velocities

Cites Work

• Powerlike decreasing solutions of the Boltzmann equation for a Maxwell gas
• New classes of similarity solutions for the nonlinear Carleman-Boltzmann equation
• On the Carleman's model for the Boltzmann equation and its generalizations
• The decay of solutions of the Carleman model
• On a class of nonintegrable equations in 1+1 dimensions with factorized associated linear operators
• Semi-inhomogeneous solutions of the Kac model of Boltzmann equations
• Mild solutions of hyperbolic systems with L¹ ₊ and L^∞ ₊ initial data
• Two classes of explicit solutions of the carleman model
• Shock Structure in a Simple Discrete Velocity Gas

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