Mathematical modeling and optimization of the processes of laser target gas filling (Q1964473)

Laser targets used in experiments on controlled termo-nuclear synthesis are thin-wall spheres made of gas-nonpenetrable materials. A process of filling of thin-wall spheres with a high-pressure gas-like nuclear fuel is a complex technical problem. It is conditioned by the difference between internal and external gas pressures which should be taken into consideration. In this case an important role plays mathematical modelling. Here the author proposes a model for a flow of van der Waals gas over a gas-nonpenetrable wall. To obtain the zeroth approximation of the solution of a system of nonlinear parabolic equations, a method of small parameter is used. The analytic solution (a piecewise constant function) can be usefull for realization of different regimes of the gas filling.