Linear inverse problem of the reactor dynamics

5th International Conference on "Problems of Mathematical and Theoretical Physics and Mathematical Modelling"

物理学;数学

Volkov, N.P.^1

National Research Nuclear University, MEPhI (Moscow Engineering Physics Institute), 31 Kashirskoe shosse, Moscow

115409, Russia^1

关键词: Balance equations;    Existence and uniqueness;    Generalized solution;    Integral-differential equations;    Kinetic transport equations;    Linear inverse problems;    Stationary parts;    Transient process;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/788/1/012061/pdf
DOI  :  10.1088/1742-6596/788/1/012061

来源: IOP

【 摘 要 】

The aim of this work is the study transient processes in nuclear reactors. The mathematical model of the reactor dynamics excluding reverse thermal coupling is investigated. This model is described by a system of integral-differential equations, consisting of a non-stationary anisotropic multispeed kinetic transport equation and a delayed neutron balance equation. An inverse problem was formulated to determine the stationary part of the function source along with the solution of the direct problem. The author obtained sufficient conditions for the existence and uniqueness of a generalized solution of this inverse problem.