Geodesic
Research of one mathematical model of the distribution of potentials in a crystalline semiconductor
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 12 (2019) no. 2, pp. 150-157

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

The article is devoted to the research of the Cauchy problem for a mathematical model of the distribution of potentials in a crystalline semiconductor. By a semiconductor we mean a substance with finite electrical conductivity, which rapidly increases with increase in the temperature. The mathematical model of the distribution of potentials is based on the semi-linear Sobolev type equation supplemented by the Dirichlet and Cauchy conditions. We use the phase space method to construct sufficient conditions for the existence of the solution to the model under study. The conditions for the continuability of the solution are given.
Mots-clés : Sobolev type equations
Keywords: mathematical model of distribution of potentials in crystalline semiconductor, phase space method, quasi-stationary trajectories. 
@article{VYURU_2019_12_2_a12,
     author = {N. A. Manakova and K. V. Vasiuchkova},
     title = {Research of one mathematical model of the distribution of potentials in a crystalline semiconductor},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {150--157},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2019_12_2_a12/}
}
TY  - JOUR
AU  - N. A. Manakova
AU  - K. V. Vasiuchkova
TI  - Research of one mathematical model of the distribution of potentials in a crystalline semiconductor
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2019
SP  - 150
EP  - 157
VL  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURU_2019_12_2_a12/
LA  - ru
ID  - VYURU_2019_12_2_a12
ER  - 
%0 Journal Article
%A N. A. Manakova
%A K. V. Vasiuchkova
%T Research of one mathematical model of the distribution of potentials in a crystalline semiconductor
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2019
%P 150-157
%V 12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURU_2019_12_2_a12/
%G ru
%F VYURU_2019_12_2_a12
N. A. Manakova; K. V. Vasiuchkova. Research of one mathematical model of the distribution of potentials in a crystalline semiconductor. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 12 (2019) no. 2, pp. 150-157. http://geodesic.mathdoc.fr/item/VYURU_2019_12_2_a12/