Geodesic
Matrix Equations and the Chapman--Enskog Projection
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 261 (2008), pp. 234-242

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We formulate conditions for the existence of a Chapman–Enskog projection in terms of the solvability of certain matrix equations, and obtain necessary and sufficient conditions for the existence of a solution to these equations. 
@article{TM_2008_261_a16,
     author = {E. V. Radkevich},
     title = {Matrix {Equations} and the {Chapman--Enskog} {Projection}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {234--242},
     publisher = {mathdoc},
     volume = {261},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2008_261_a16/}
}
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E. V. Radkevich. Matrix Equations and the Chapman--Enskog Projection. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 261 (2008), pp. 234-242. http://geodesic.mathdoc.fr/item/TM_2008_261_a16/