No. 6 | Founded in 1994 | Moscow 2003 |
Boundary of stability of multicomponent and limited ionized beams
K. B. Galitseysky
Moscow Aviation Institute, Moscow, Russia
Based on the generalized solution to the system of Poisson-Vlasov's equations, the dispersion equation has been derived for a wide class of initial disturbances. This dispersion equation generalizes the particular cases of the earlier obtained solutions for an unlimited system both to a hydrodynamic approximation and with regard to thermal spread. It enables one to determine the boundary condition influence on instability developing in multicomponent ionized flows. Solving the system of Poisson-Vlasov's equations in a class of generalized functions yields some advantage not only in attaining a more high generality of investigation results but also in achieving a more simple calculation. E. g., use of the d -function for determining a background in the obtained dispersion equation permits one to obviate the necessity of searching for a general solution to the system of the hydrodynamic equations and to calculate a linear system determinant.