Two aspects of the discrete kinetic theory: Wear shock waves and boundary conditions

DOI10.1080/00411458708204317zbMath0624.76103OpenAlexW2092673238MaRDI QIDQ3026637

Renée Gatignol

Publication date: 1987

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458708204317

zbMATH Keywords

dissipationEuler equationsH-theoremlinearized kinetic equationsweak shock wavesdiscrete velocity mediumintegro-differential equation of Boltzmannsystem of semi-linear coupled partial equations

Mathematics Subject Classification ID

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The discrete Boltzmann equation for gas mixtures. A regular space model and a shock wave problem
• Shock-wave propagation in gas mixtures by means of a discrete velocity model of the Boltzmann equation
• Global solution of the initial value problem for a discrete velocity model of the Boltzmann equation
• On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas
• Hyperbolic systems of conservation laws II
• The decay of solutions of the Carleman model
• Analytical solutions of the discrete Boltzmann equation for the Rayleigh flow problem for gas mixtures
• Kinetic theory for a discrete velocity gas and application to the shock structure
• On the Broadwell's model for a simple discrete velocity gas
• Couette flow for a gas with a discrete velocity distribution
• Kinetic theory boundary conditions for discrete velocity gases
• Navier-stokes and boltzmann shock profiles for a model of gas dynamics
• Study of rarefied shear flow by the discrete velocity method
• ON DISCRETE MODELS OF THE KINETIC BOLTZMANN EQUATION
• Thermodynamics and Hydrodynamics for a Modeled Fluid
• Shock Structure in a Simple Discrete Velocity Gas