Onedimensional homogenized reactor with natural uranium and with flattened specific output
Rostislav Zezula · Applications of Mathematics · 1969
The problem of flattening the reactor specific output for the case of homogenized thermal critical reactor fueled with natural uranium is mathematically formulated (in the two-groups diffusion approximation and for onedimensional geometries) in the article. It is shown that this problem leads to a quasilinear biharmonic Cauchy's problem having a twoparametrical family of solutions $N(x;N_0,N"_0)$. The existence and stability of these solutions and the possibility of the optimization of the total reactor output by a proper choice of the parameters $N_0,N"_0$ is investigated.