Geodesic
On the question of optimization of the oil slick biodestruction in the bodies of water
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2014), pp. 133-143

Voir la notice de l'article provenant de la source Math-Net.Ru

We propose the system of nonlinear partial differential equations of parabolic type that describes the processes of oil pollution of water surface and bacterial degradation of this contamination. Problem of the parametric optimization of the acceleration process of degradation of the oil pollution is solved using this model. Optimality criterion is to minimize the time spent on destruction of oil pollution. Coefficient, characterizing the rate of population growth of bacteria, is selected as control parameter. Research is conducted using linearization of functions from the right-hand side of an equation in the neighborhood of solutions having practical significance. Also using the simplified model we obtain the formula that allows to predict the time for necessary destruction level progressing. Checking the results obtained for the linear equations is made using MATLAB. A comparison of experimental data and the calculated values is carried on to show the suggested model adequacy.
Mots-clés : oil pollution
Keywords: bacterial destruction, system of differential equations, linearization, Fourier method, optimization. 
@article{VSGTU_2014_4_a11,
     author = {O. S. Afanas'eva and G. F. Egorova and L. V. Kaidalova},
     title = {On the question of optimization of the oil slick biodestruction in the bodies of water},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {133--143},
     publisher = {mathdoc},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2014_4_a11/}
}
TY  - JOUR
AU  - O. S. Afanas'eva
AU  - G. F. Egorova
AU  - L. V. Kaidalova
TI  - On the question of optimization of the oil slick biodestruction in the bodies of water
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2014
SP  - 133
EP  - 143
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2014_4_a11/
LA  - ru
ID  - VSGTU_2014_4_a11
ER  - 
%0 Journal Article
%A O. S. Afanas'eva
%A G. F. Egorova
%A L. V. Kaidalova
%T On the question of optimization of the oil slick biodestruction in the bodies of water
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2014
%P 133-143
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2014_4_a11/
%G ru
%F VSGTU_2014_4_a11
O. S. Afanas'eva; G. F. Egorova; L. V. Kaidalova. On the question of optimization of the oil slick biodestruction in the bodies of water. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2014), pp. 133-143. http://geodesic.mathdoc.fr/item/VSGTU_2014_4_a11/