My name is Malinina Helen. I graduated from The Faculty of Computational Mathematics and Cybernetics of Lomonosov Moscow State University with degrees in computer science this year. My scientific adviser is a professor of the Operations Research department Belolipetskiy A.A.
We proposed a mathematical model of the changes occurring in the geometrical properties of the deuterium–tritium layer on the laser target in the process of its insertion into the reactor working chamber. The model was a parabolic equation of general form in spherical coordinates with nonlinear boundary conditions on a moving boundary. We showed that under physically justified assumptions this problem may be regarded as a Stefan problem for a singularly perturbed parabolic equation. The first terms of the solution series were written out. Numerical calculations of the fuel layer degradation time are useful for production of such laser targets.
With these results I took part in some conference, for example “Tikhonov readings”- 2010, international conference “Lomonosov”- 2010 and Russian Academy of Sciences’ conference of “Plasma physics and controlled fusion“.
All derived results will help in developing a new source of power and energy.