In work the compelled fluctuations of plasma in a round cylindrical pipe under action of periodically changing pressure difference of plasma along an axis of a pipe and a full current are investigated. Plasma is supposed quasineutral, incompressible, viscous and electro wire, inertia of electrons is in full considered. In the first part of work the full mathematical decision of a problem on the compelled fluctuations is presented. In the second - are investigated various limiting and and special cases: approach nonviscous electrons, (МГД - a limit), electron-positronic plasma, low-frequency and high-frequency limits and other.

Mathematical modelling in actual problems of science and technics