Geodesic
The energy method for calculating quasi-stationary atmospheric electric fields
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 1, pp. 56-69

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

A new mathematical model is proposed to describe the quasi-stationary atmospheric electric fields with an approximate consideration of the ionosphere conductivity. Under the assumption of verticality of the geomagnetic field, a two-dimensional model of the ionosphere conducting layer is used that is customary for the large-scale fields. Within the framework of this model, the ionosphere can be described by a special boundary condition in a boundary value problem for the atmospheric electric field. A linear boundary value problem is stated with a symmetric positive definite elliptic operator. The minimum principle is substantiated for the quadratic functional of energy. The existence and uniqueness of a generalized solution are proved. Under study is also the imprecision of the approximate description of the ionosphere conductor.
Keywords: electric field, atmosphere, ionosphere, elliptic operator, energy functional. 
@article{SJIM_2011_14_1_a5,
     author = {V. V. Denisenko},
     title = {The energy method for calculating quasi-stationary atmospheric electric fields},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {56--69},
     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a5/}
}
TY  - JOUR
AU  - V. V. Denisenko
TI  - The energy method for calculating quasi-stationary atmospheric electric fields
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2011
SP  - 56
EP  - 69
VL  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a5/
LA  - ru
ID  - SJIM_2011_14_1_a5
ER  - 
%0 Journal Article
%A V. V. Denisenko
%T The energy method for calculating quasi-stationary atmospheric electric fields
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2011
%P 56-69
%V 14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a5/
%G ru
%F SJIM_2011_14_1_a5
V. V. Denisenko. The energy method for calculating quasi-stationary atmospheric electric fields. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 1, pp. 56-69. http://geodesic.mathdoc.fr/item/SJIM_2011_14_1_a5/