We investigate the possibility to describe the mean features of ICF targets implosion by systems of ordinary differential equations. Before thermonuclear burning, using physically natural approximations, the. integral conservation equations of hydrodynamics, applied to the capsule and the hot spot, lead to such systems. It allows to understand simply why for the hot spot PV~(5/3) is constant, and to obtain the average implosion velocity. During burning but before the expansion of the DT fuel, by modeling the power deposited by the α's and the radiation power lost by the hot spot, we determine the evolution equations for the hot spot mass and the delivered thermonuclear energy The results of their integration agree with numerical simulation.
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