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THE PROBLEM OF GENERATION OF SHIFT WAVES IN BOSE GAS WITH A VIBRATING BOUNDARY AND ITS EXACT SOLUTIONS

Bedrikova E. A., Latyshev A.V.

Moscow State Regional University

bedrikova@mail.ru, avlatyshev@mail.ru

Abstract

An analytic solution of the problem of generation of shear waves in a Bose gas in the case of a constant amplitude of the surface oscillation is found. A kinetic equation with boundary conditions is derived. The eigensolution of the equation is found. The properties of the dispersion function are investigated. A general solution of the boundary value problem is formulated in the form of an expansion in eigensolutions.

Keywords: Bose gas, eigensolutions, kinetic equation, boundary value problem

Recently, the problem of the behavior of gas over a moving surface is of great interest. This is due to the rapid development of modern technology.

References

  1. Akimova V.A., Latyshev A.V., Yushkanov A.A. Analytic solution of the second Stokes problem on the behavior of a gas over an oscillating surface // Fluid Dynamics. A Journal of Russian Academy of Sciences. 2013. No 1, pp. 125-140.
  2. Stokes G.G. On the effect of internal friction of fluids on the motion of pendulums. Cambr. Phil. IX, 8 A851), Math, and Phys. Papers III, 1-141, Cambridge, 1901.