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Energy Method for Equations in Gas Dynamics

In: Hyperbolic Problems: Theory, Numerics, Applications

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  • Tai-Ping Liu

    (Stanford University, Institute of Mathematics, Academia Sinica, Taipei & Department of Mathematics)

  • Shih-Hsien Yu

    (City University of Hong Kong, Department of Mathematics)

Abstract

We briefly review the energy methods for hyperbolic and viscous conservation laws. These motivate the recent studies of the energy method for the Boltzmann equation. The new energy method is based on a macro-micro decomposition of the Boltzmann equation as well as the H-theorem. Previous energy method involves the spectral analysis and regularity of collision operator through sophisticated weighted norms.

Suggested Citation

  • Tai-Ping Liu & Shih-Hsien Yu, 2003. "Energy Method for Equations in Gas Dynamics," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 53-60, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_4
    DOI: 10.1007/978-3-642-55711-8_4
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