Geodesic
On the uniqueness and stability of solutions of two-dimensional plasmastatic problems
Matematičeskoe modelirovanie, Tome 7 (1995) no. 4, pp. 73-86 
K. V. Brushlinskii; N. M. Zueva; M. S. Mikhailova; N. B. Petrovskaya. On the uniqueness and stability of solutions of two-dimensional plasmastatic problems. Matematičeskoe modelirovanie, Tome 7 (1995) no. 4, pp. 73-86. http://geodesic.mathdoc.fr/item/MM_1995_7_4_a6/
@article{MM_1995_7_4_a6,
     author = {K. V. Brushlinskii and N. M. Zueva and M. S. Mikhailova and N. B. Petrovskaya},
     title = {On the uniqueness and stability of solutions of two-dimensional plasmastatic problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {73--86},
     year = {1995},
     volume = {7},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1995_7_4_a6/}
}
TY  - JOUR
AU  - K. V. Brushlinskii
AU  - N. M. Zueva
AU  - M. S. Mikhailova
AU  - N. B. Petrovskaya
TI  - On the uniqueness and stability of solutions of two-dimensional plasmastatic problems
JO  - Matematičeskoe modelirovanie
PY  - 1995
SP  - 73
EP  - 86
VL  - 7
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MM_1995_7_4_a6/
LA  - ru
ID  - MM_1995_7_4_a6
ER  - 
%0 Journal Article
%A K. V. Brushlinskii
%A N. M. Zueva
%A M. S. Mikhailova
%A N. B. Petrovskaya
%T On the uniqueness and stability of solutions of two-dimensional plasmastatic problems
%J Matematičeskoe modelirovanie
%D 1995
%P 73-86
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/MM_1995_7_4_a6/
%G ru
%F MM_1995_7_4_a6

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

Durinq the numerical investiqation of a plasma cylinder in magnetic field of some helical conducting wires in equilibrium, we discuss some questions on the solution, uniqueness and stability in boundary problems with the nonlinear elliptic Grad-Shafranov equation. Some examples of nonunique and unstable solutions are given. A spectral analysis of the linearized equation made possible to determine a restriction of admissible parameter values and to specify iterative methods of solving the problem. The scheme investigation and a general nature of obtained results are typical for a large class of two-dimensional models of static magnetoplasma configurations.