Geodesic
On the uniqueness and stability of solutions of two-dimensional plasmastatic problems
Matematičeskoe modelirovanie, Tome 7 (1995) no. 4, pp. 73-86.

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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. 
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     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},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1995_7_4_a6/}
}
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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/