English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the present work the second Stokes problem about behaviour of the rarefiedgas filling half-space is formulated. A plane limiting half-space makesharmonious fluctuations with variable amplitude in the plane. The amplitudechanges on the exponential law. The kinetic equation with model integral ofcollisions in the form $\tau$-model is used. The case of diffusion reflexionsof gas molecules from a wall is considered. Eigen solutions (continuous modes)of the initial kinetic equation corresponding to the continuous spectrum aresearched. Properties of dispersion function are studied. It is investigated thediscrete spectrum of the problem consisting of zero of the dispersion functionsin the complex plane. It is shown, that number of zero of dispersion functionto equally doubled index of problem coefficient. The problem coefficient isunderstood as the relation of boundary values of dispersion function from aboveand from below on the real axis. Further are eigen solutions (discrete modes)of the initial kinetic equation corresponding to the discrete spectrum aresearched. In the end of work the general solution of the kinetic equation inthe form expansion under eigen solutions with unknown coefficientscorresponding to discrete and continuous spectra is constructed.

Analytical solution of the second Stokes problem with variable amplitude  on behaviour of gas over oscillation surface. Part I: eigenvalues and  eigensolutions