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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
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.
- 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.
- 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.