Inconsistency in the moment's method for solving the Boltzmann equation

DOI10.1515/JNETDY.2004.054zbMath1111.82045OpenAlexW1985088445MaRDI QIDQ1773016

Rosa María Velasco, Francisco Javier Uribe, Leopoldo Scherer García-Colín

Publication date: 22 April 2005

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnetdy.2004.054

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (5)

Relaxation time for the temperature in a dilute binary mixture from classical kinetic theory ⋮ Nonlinear transport coefficients from Grad's 13-moment approximation ⋮ On the illposedness and stability of the relativistic heat equation ⋮ On the stability problem in special relativistic thermodynamics: implications of the Chapman-Enskog formalism ⋮ Dissipative properties of degenerate relativistic gases: the complete kernel calculation in a \((d+1)\) flat space-time

Cites Work

• Testing continuum descriptions of low-Mach-number shock structures
• The structure of an infinitely strong shock wave
• Improvement of the Grad 13 moment method for strong shock waves
• Nonequilibrium gas flows. I: A detailed validation of Monte Carlo direct simulation for monatomic gases
• Existence of Kinetic Theory Solutions to the Shock Structure Problem
• On the kinetic theory of rarefied gases
• The Solution of the Boltzmann Equation for a Shock Wave
• The profile of a steady plane shock wave
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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