Determination of kinetic and dynamic parameters of an expanding permeable plasma piston

Summary form only given. One of the peculiarities of pulsed phenomena in compressible media is the presence of moving boundaries plasma-liquid, gas-liquid in continuum. It is necessary to take this peculiarity into account when studying plasma of electrical discharges and laser pulses in liquid, under investigation of wave phenomena including near zone, and expanding boundary of plasma cavity which in general case is permeable; under solving the problems of pulse phenomena control (the type of inverse wave problems with moving boundaries) and in many other cases. These are connected with the problem of moving boundaries for a parabolic type mathematical physics equation, which is known as the Stefan problem. A new approach for solving problems with moving boundaries (method for inverse problem with regard to nonlinear arguments interaction) is proposed. Analytical solutions of the inverse problem for wave equation in domains with moving boundaries which (in the general case) are permeable have been obtained for cylindrical symmetry. With the use of the given values of pressure (or velocity) at a point in the wave zone the spatial distributions of pressure and velocity have been restored as well as the kinematic and dynamic parameters of the expanding plasma cavity. The solution fits for direct and inverse problems under arbitrary functions of the velocity and permeability of the moving boundaries. Calculations for several consequently increasing pressure leaps have been carried out.