Rotating flows with acceleration and compaction in the model of hard spheres
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 278-286 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a model of the interaction between two flows in a gas of hard spheres, each of which has the structure of an accelerating and compacting rotating flow. We obtain several conditions sufficient for the uniform integral or the "mixed" norm of the difference between the left- and right-hand sides of the Boltzmann equation to be arbitrarily small.
Keywords: hard sphere, Boltzmann equation, "mixed" discrepancy, rotating flow, acceleration–compaction.
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V. D. Gordevskii. Rotating flows with acceleration and compaction in the model of hard spheres. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 2, pp. 278-286. http://geodesic.mathdoc.fr/item/TMF_2009_161_2_a11/

[1] K. Cherchinyani, Teoriya i prilozheniya uravneniya Boltsmana, Mir, M., 1978 | MR | MR | Zbl

[2] T. Karleman, Matematicheskie zadachi kineticheskoi teorii gazov, IL, M., 1960 | MR | MR | Zbl

[3] V. D. Gordevskii, TMF, 126:2 (2001), 283–300 | DOI | MR | Zbl

[4] H. Grad, Comm. Pure and Appl. Math., 2:4 (1949), 331–407 | DOI | MR | Zbl

[5] O. G. Fridlender, Prikl. matem. i mekh., 29:5 (1965), 973

[6] M. N. Kogan, Dinamika razrezhennogo gaza. Kineticheskaya teoriya, Nauka, M., 1967 | Zbl

[7] V. D. Gordevskyy, Math. Methods Appl. Sci., 27:2 (2004), 231–247 | DOI | MR | Zbl

[8] V. D. Gordevskii, Matem. fiz., analiz, geom., 2:2 (1995), 168–176 | MR | Zbl

[9] V. D. Gordevskii, Matem. fiz., analiz, geom., 4:1–2 (1997), 46–58 | MR | Zbl

[10] V. D. Gordevskii, TMF, 114:1 (1998), 126–136 | DOI | MR | Zbl

[11] V. D. Gordevskyy, Nonlinear Anal., 53:3–4 (2003), 481–494 | DOI | MR | Zbl

[12] V. D. Gordevsky, Math. Methods Appl. Sci., 21:16 (1998), 1479–1494 | DOI | MR

[13] V. D. Gordevskii, TMF, 135:2 (2003), 303–314 | DOI | MR

[14] V. D. Gordevskii, N. V. Andriyasheva, Matem. fiz., analiz, geom., 5:1 (2009), 38–53 | MR