Systems of coupled Riccati equations in discrete kinetic theory: New self-similar solutions, shock profiles, stability

DOI10.1080/00411459408203855zbMath0859.76057OpenAlexW2093105169MaRDI QIDQ4317605

Tadeusz Płatkowski, Henri Cornille

Publication date: 20 December 1994

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

Full work available at URL: https://doi.org/10.1080/00411459408203855

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Cites Work

• Hyperbolic systems of conservation laws II
• Some comments on wave propagation and shock wave structure with application to magnetohydrodynamics
• On the integrability of systems of nonlinear ordinary differential equations with superposition principles
• Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory
• THE DISCRETE BOLTZMANN EQUATION: A REVIEW OF THE MATHEMATICAL ASPECTS OF THE INITIAL AND INITIAL-BOUNDARY VALUE PROBLEMS
• (1+1)-Dimensional hierarchies of multispeed discrete Boltzmann model equations

This page was built for publication: Systems of coupled Riccati equations in discrete kinetic theory: New self-similar solutions, shock profiles, stability