Geodesic
Onedimensional homogenized reactor with natural uranium and with flattened specific output
Applications of Mathematics, Tome 14 (1969) no. 4, pp. 323-336.

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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. 
@article{10_21136_AM_1969_103239,
     author = {Zezula, Rostislav},
     title = {Onedimensional homogenized reactor with natural uranium and with flattened specific output},
     journal = {Applications of Mathematics},
     pages = {323--336},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {1969},
     doi = {10.21136/AM.1969.103239},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1969.103239/}
}
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Zezula, Rostislav. Onedimensional homogenized reactor with natural uranium and with flattened specific output. Applications of Mathematics, Tome 14 (1969) no. 4, pp. 323-336. doi : 10.21136/AM.1969.103239. http://geodesic.mathdoc.fr/articles/10.21136/AM.1969.103239/

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