A model of the fuel target implosion in the external magnetic field

Summary form only given. The physical and mathematical model and numerical method for calculation of the main parameters of plasma during the implosion of a magnetized target in magneto-inertial fusion (MIF)1-5 are developed.The external magnetic field parallel to the axis of symmetry is an important issue, including penetration of radiation into a plasma and confinement of charged particles in MIF. The external magnetic field on the final stage of compression contributes to the excitation in plasma electromagnetic waves, whose energy can penetrate into the plasma and absorbed throughout the plasma volume. The system of equations describing the processes of heating and evaporation of the metal wall under the influence of thermal radiation from the plasma volume with the radiation flux density, which takes into account the incident laser beam on the wall, is presented. Such system doesn't take into account the hydrodynamic processes in condensed matter, and consists of the heat equation in a moving coordinate system. A model is used to describe the process of fuel target and magnetic field compression.