THE ANALYTICAL SOLUTION OF THE DISPERSION EQUATION FROM SECOND STOKES PROBLEM
Abstract
Zero of dispersion function from second Stokes problem are investigated. Second problem Стокса is a problem about behavior of the rarefied gas filling half-space. The plane limiting half-space, makes harmonious oscillations. It is used linear kinetic ellipsoidal statistical equation with parameter. The factorization formula to dispersion function is proved. By means of the factorization formula are found zero of dispersive function in an explicit form and their research depending on quantity of dimensionless frequency of a plane limiting gas and equation parameter is carried out.
Keywords
вторая задача Стокса,
кинетическое эллипсоидально статистическое уравнение,
разделение переменных,
нули дисперсионной функции,
собственные решения,
непрерывный и дискретный спектры,
факторизация дисперсионной функции,
second Stokes problem,
kinetic ellipsoidal statistical equation,
separation of variables,
zero of dispersion function,
eigen solutions,
continuous and discrete spectra,
factorization of dispersion function
About the Authors
V. . Akimova
Moscow State Regional University (MSRU)
Russian Federation
Russian Federation
A. . Bugrimov
Moscow State Regional University (MSRU)
Russian Federation
Russian Federation
A. . Latyshev
Moscow State Regional University (MSRU)
Russian Federation
Russian Federation
A. . Yushkanov
Moscow State Regional University (MSRU)
Russian Federation
Russian Federation
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