Energy Method for Equations in Gas Dynamics

Tai-Ping Liu () and Shih-Hsien Yu ()
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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

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 53-60 from Springer

Abstract: 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.

Keywords: Boltzmann Equation; Knudsen Number; Energy Method; Collision Operator; Hard Sphere Model (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_4

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DOI: 10.1007/978-3-642-55711-8_4

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