Geodesic
Numerical stabilization from the boundary for solutions of a model one-dimensional of a model one-Dimensional RBMK reactor
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2016), pp. 20-24 
A. A. Kornev. Numerical stabilization from the boundary for solutions of a model one-dimensional of a model one-Dimensional RBMK reactor. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2016), pp. 20-24. http://geodesic.mathdoc.fr/item/VMUMM_2016_3_a3/
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     title = {Numerical stabilization from the boundary for solutions of a model one-dimensional of a model {one-Dimensional} {RBMK} reactor},
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     pages = {20--24},
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     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_3_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of construction of first king boundary conditions providing an asymptotic change of the trivial solution of a model one-dimensional RBMK reactor to the required stationary state is numerically studied according to specific features of this model. Results of calculations are presented for different admissible modes. The principal feasibility of efficient stabilization of the dynamics of occurring processes by boundary control of fast and slow neutrons is shown as well as its essential slow-down in the control of only fast neutrons.

[1] Reed Wm.H., Hansen K.F., “Alternating direction methods for the reactor kinetics equations”, Nuclear Sci. and Eng., 1970, no. 41, 431–442 | DOI

[2] Strakhovskaya L.G., Fedorenko R.P., “Yadernyi reaktor — zhestkaya sistema. III. Kvaziasimptoticheskii metod integrirovaniya i glavnaya spektralnaya zadacha (vychislitelnyi eksperiment)”, Preprinty In-ta prikladnoi matematiki im. M.V. Keldysha RAN, 1996, 044

[3] Fursikov A.V., “Stabilizability of two-dimensional Navier–Stokes equations with help of boundary feedback control”, J. Math. Fluid Mech., 3 (2001), 259–301 | DOI | MR | Zbl

[4] Chizhonkov E.V., “Numerical aspects of one stabilization method”, Russ. J. Numer. Anal. Math. Modelling, 18:5 (2003), 363–376 | DOI | MR | Zbl

[5] Vedernikova E.Yu., Kornev A.A., “K zadache o nagreve sterzhnya”, Vestn. Mosk. un-ta. Matem. Mekhan., 2014, no. 6, 10–15 | MR

[6] Kornev A.A., “Ob iteratsionnom metode postroeniya “usov Adamara””, Zhurn. vychisl. matem i matem. fiz., 44:8 (2004), 1346–1355 | MR | Zbl

[7] Fursikov A.V., Kornev A.A., “Feedback stabilization for Navier–Stokes equations: theory and calculations”, Mathematical Aspects of Fluid Mechanics, Lect. Notes Ser., Cambridge University Press, Cambridge, 2012, 130–172 | MR | Zbl