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Remarks on the relaxation approximation of the Burnett equations

2001
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Methods and Applications of Analysis
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0. Introduction. The purpose of this note is to present a short discussion of the relaxation regularization of the Burnett equations, a second order approximation via the Chapman-Enskog expansion on the Boltzmann equation, proposed in [1]. 1. A model problem. The classical Chapman-Enskog expansion in term of the Knudsen number on the Boltzmann equation yields the compressible Euler, Navier-Stokes and Burnett equations in the zeroth, first and second order truncation [15]. However, truncation at

doi:10.4310/maa.2001.v8.n4.a3
fatcat:4zwubzwvgfgr3a7olfi7xpar6a