The main results obtained by A.A. Vlasov in 1944 and published in 1945 are presented. The solution of the initial problem for small perturbations of the longitudinal field in collisionless plasma is givn. For the example ...

The traditional approach in the linear electrodynamics is using of spectral method. However, in many cases, the physical process is defined by large number of spectral components. In this case the spectral approach is not ...

A comparison of the mechanism of stabilization of unstable states of physical systems in a rapidly oscillating external field (on example the Kapitsa’s pendulum) with a whirligig type stabilization mechanism is presented ...

The specific features of the superradiation processes excited by an ultra-short 1D monoenergetic bunch of charged particles, which moves through a plasma, are examined. When the size of the bunch is less then the wavelength ...

It is shown that singular solutions of ordinary differential equations may cause new dynamic chaos conditions and new dynamic chaos modes. In particular, these solutions may lead to the dynamic chaos modes in a completely ...

Convection in a thin layer of liquid (gas) with temperature independent viscosity between poorly heat conducting boundaries is studied within framework of the Proctor-Sivashinsky model. We have shown by numerical simulation ...

The dispersion equation, describing the instability development of vortex turbulence excitation in cylindrical plasma in crossed radial electric and axial magnetic fields with taking into account the longitudinal inhomogeneity ...

In this paper, we find a new large scale instability which appears in obliquely rotating flow with the small scale turbulence, generated by external force with small Reynolds number. The external force has no helicity. The ...