Geodesic
Asymptotic Burnett model of the gas flow in a thin shock layer near cylinder
Matematičeskoe modelirovanie, Tome 25 (2013) no. 7, pp. 69-88

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The simplification of the full Burnett equations in reference to task of the rarefied gas hypersonic cross-flow around the circular cylinder is made on the basis of the two-layer ideology of a thin viscous shock layer theory for the non-thin bodies, assumed two (smear shock + own shock layer) specific regions (layers) between the free-stream flow and the streamlined surface. The common compositional system of the equations, described the flow in the whole of the thin shock layer, included both his above-mentioned structural regions (sublayers), is formulated. Unlike the full Burnett equations, the obtained Burnett thin shock layer equations have the order not exceeded the order of the Navier–Stokes hypersonic thin shock layer task, whose instrument of investigation is worked out well enough.
Keywords: Burnett equations, hypersonic flow, thin shock layer, circular cylinder. 
@article{MM_2013_25_7_a5,
     author = {A. L. Ankudinov},
     title = {Asymptotic {Burnett} model of the gas flow in a thin shock layer near cylinder},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {69--88},
     publisher = {mathdoc},
     volume = {25},
     number = {7},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_7_a5/}
}
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A. L. Ankudinov. Asymptotic Burnett model of the gas flow in a thin shock layer near cylinder. Matematičeskoe modelirovanie, Tome 25 (2013) no. 7, pp. 69-88. http://geodesic.mathdoc.fr/item/MM_2013_25_7_a5/