Construction of positive exact \((2+1)\)-dimensional shock wave solutions for two discrete Boltzmann models.

DOI10.1007/BF01019734zbMath1084.82542OpenAlexW1972401102MaRDI QIDQ1963525

Henri Cornille

Publication date: 2 February 2000

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

Full work available at URL: https://doi.org/10.1007/bf01019734

zbMATH Keywords

shock wavesKinetic theorydiscrete Boltzmann modelsexact solutions of nonlinear equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (4)

Stationary solutions of the kinetic Broadwell model ⋮ The analytical solutions of 2D stationary Broadwell kinetic model ⋮ Positive (2+1)-dimensional exact shock waves solutions to the Broadwell model ⋮ Unnamed Item

Cites Work

• Exact solutions of the Broadwell model in 1+1 dimensions
• Shock Structure in a Simple Discrete Velocity Gas
• Discrete velocity models with ternary collisions

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