Solutions of discrete-velocity Boltzmann equations via Bateman and Riccati equations

DOI10.1023/A:1015428229008zbMath1031.82042MaRDI QIDQ1417363

Ove Lindblom, Norbert Euler

Publication date: 4 January 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

linearizationexact solutionsnonlinear systems of multidimensional PDEssingularity Painlevé analysis

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) First-order hyperbolic systems (35L40)

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New exact solutions for the time fractional Broadwell system ⋮ New exact solutions for the two-dimensional Broadwell system ⋮ Stationary solutions of the kinetic Broadwell model ⋮ A self-similar solution for the two-dimensional Broadwell system via the Bateman equation ⋮ Painlevé test and a self-similar solution of the kinetic model ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The analytical solutions of 2D stationary Broadwell kinetic model ⋮ Symmetries, the current function, and exact solutions for Broadwell's two-dimensional stationary kinetic model ⋮ Unnamed Item ⋮ Unnamed Item

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