Interaction between "Accelerating-Packing" Flows in a Low-Temperature Gas

Автор(и)

  • V. D. Gordevskyy Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine
  • N. V. Andriyasheva Department of Mechanics and Mathematics, V.N. Karazin Kharkiv National University, 4 Svobody Sq., Kharkiv, 61077, Ukraine

Ключові слова:

rarefied gas, Boltzmann equation, hard spheres, Maxwellian, bimodal distribution, approximate solution, error, low temperature

Анотація

The Maxwellians of a special type, which correspond to inhomogeneous, nonstationary flows and describe the acceleration and packing of gas along some direction, are studied. The approximate description of interaction between these two flows for the model of hard spheres, when the temperatures are sufficiently small, is obtained in a form of bimodal distribution with various coefficient functions.

Mathematics Subject Classification: 76P05, 45K05, 82C40, 35Q55.

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Gordevskyy, V. D.; Andriyasheva, N. V. Interaction between "Accelerating-Packing" Flows in a Low-Temperature Gas. Журн. мат. фіз. анал. геом. 2009, 5, 38-53.

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