Hybrid Burnett Equations: A New Method of Stabilizing

DOI10.1080/00411450701468365zbMath1183.82070arXivcond-mat/0506417OpenAlexW1982220345MaRDI QIDQ5429691

Lars H. Söderholm

Publication date: 3 December 2007

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0506417

zbMATH Keywords

stabilizationBurnett equationsBobylev's instability

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70)

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Cites Work

• Unnamed Item
• Regularization of Grad’s 13 moment equations: Derivation and linear analysis
• Beyond Navier–Stokes: Burnett equations for flows in the continuum–transition regime
• Regularized 13-moment equations: shock structure calculations and comparison to Burnett models
• The Distribution of Molecular Velocities and the Mean Motion in a Non-Uniform Gas
• Regularization of the Burnett equations via relaxation