Steshenko G. Mathematical simulation and identification of parameters of underground transport of radionuclides mixture

The thesis is devoted to construction and investigation mathematical model of underground transport of radioactive contamination with regard for filiation fenomenon. New mathematical model that is described by a system of linear parabolical differential equation with partial derivatives and singular right-hand sides is developed. The theorems on existence and uniqueness of its weak solution are proved. The variational problem of identification of sources of contamination is solved and the theorem on existence of optimal control for this system is proved. The numerical experiment confirmed tha practical significance of the results obtained in the thesis.