Document Zbl 1363.76061

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Gordevskyy, V. D.; Hukalov, O. O.

The bimodal distribution with some Maxwell modes for the Bryan-Piddack equation. (Ukrainian. English summary) Zbl 1363.76061

Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 82, 4-18 (2015).

Summary: An approximate solution of the Bryan-Piddack equation in the form of a bimodal distribution with Maxwell modes that describe the motion of the “accelerating-packing” type is constructed. Sufficient conditions for the minimization of inhomogeneous weighted residual for the model of rough spheres are obtained.

MSC:

76P05	Rarefied gas flows, Boltzmann equation in fluid mechanics
45K05	Integro-partial differential equations
82C40	Kinetic theory of gases in time-dependent statistical mechanics

Keywords:

Bryan-Piddack equation; rough sphere; non-uniform weight

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