Proof that Successive Derivatives of Boltzmann's H Function for a Discrete Velocity Gas Alternate in Sign

DOI10.1063/1.1705172zbMath0155.32604OpenAlexW2002242332MaRDI QIDQ5538430

Stewart Harris

Publication date: 1967

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

Full work available at URL: https://doi.org/10.1063/1.1705172

zbMATH Keywords

structure of matter

Related Items

Exact solutions of the nonlinear Boltzmann equation, Alternating signs of the higher derivatives of the H-function for a nonlinear model Boltzmann equation, Exact solutions for the discrete Boltzmann models with specular reflection, The discrete model of the Boltzmann equation, Completely solvable models of the nonlinear Boltzmann equation I. Case of three velocities

Cites Work

• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• Entropy is the only increasing functional of Kac's one-dimensional caricature of a Maxwellian gas
• Study of rarefied shear flow by the discrete velocity method
• The many faces of entropy
• Shock Structure in a Simple Discrete Velocity Gas