# Stability of flat thermal flux in a slab reactor

Václav Bartošek; Rostislav Zezula

Aplikace matematiky (1968)

- Volume: 13, Issue: 5, page 367-375
- ISSN: 0862-7940

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topBartošek, Václav, and Zezula, Rostislav. "Stability of flat thermal flux in a slab reactor." Aplikace matematiky 13.5 (1968): 367-375. <http://eudml.org/doc/14556>.

@article{Bartošek1968,

abstract = {Using the qualitative theory of differential equations the equivalence of the boundary value and the Cauchy's initial value problem is demonstrated for the slab flat flux reactor. It is found that there exists an interval of the initial (central) fuel concentrations for which the initial value problem (with two algebraic conditions) describes a critical flat flux reactor while solutions outside this interval describe undercritical systems of a nonmultiplying medium.},

author = {Bartošek, Václav, Zezula, Rostislav},

journal = {Aplikace matematiky},

keywords = {numerical analysis},

language = {eng},

number = {5},

pages = {367-375},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Stability of flat thermal flux in a slab reactor},

url = {http://eudml.org/doc/14556},

volume = {13},

year = {1968},

}

TY - JOUR

AU - Bartošek, Václav

AU - Zezula, Rostislav

TI - Stability of flat thermal flux in a slab reactor

JO - Aplikace matematiky

PY - 1968

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 13

IS - 5

SP - 367

EP - 375

AB - Using the qualitative theory of differential equations the equivalence of the boundary value and the Cauchy's initial value problem is demonstrated for the slab flat flux reactor. It is found that there exists an interval of the initial (central) fuel concentrations for which the initial value problem (with two algebraic conditions) describes a critical flat flux reactor while solutions outside this interval describe undercritical systems of a nonmultiplying medium.

LA - eng

KW - numerical analysis

UR - http://eudml.org/doc/14556

ER -

## References

top- V. Bartošek, R. Zezula, 10.1016/0368-3230(66)90023-1, Journal of Nucl. Energy Pt A/B 20, 129-134, (1966). (1966) DOI10.1016/0368-3230(66)90023-1
- E. F. Beckenbach, Modern Mathematics for the Engineer, McGraw-Hill Book Соmр. New York - Toronto - London. Zbl0098.26402
- S. Lefshetz, Differential Equations: Geometric Theory, Interscience Publishers, London 1957. (1957) MR0094488
- R. Bellman, Stability Theory of Differential Equations, London 1953. (1953) Zbl0053.24705MR0061235
- J. Roček, [unknown], Private communication, 1966. (1966)

## Citations in EuDML Documents

top- Rostislav Zezula, A sufficient condition for flattening of the thermal neutron flux and some related problems (in onedimensional geometries)
- Rostislav Zezula, Onedimensional homogenized reactor with natural uranium and with flattened specific output
- Rostislav Zezula, Criticality conditions for a finite homogenized natural-uranium fueled reactor with prescribed thermal neutron flux

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