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On the Bean critical-state model in superconductivity. (English) Zbl 0873.49007

The author considers two-dimensional and axially symmetric critical-state problems in type-II superconductivity, and shows that these problems are equivalent to evolutionary quasivariational inequalities. In a special case, where the inequalities become variational, the existence and uniqueness of the solution are proved.

MSC:

49J40 Variational inequalities
82D55 Statistical mechanics of superconductors
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