On a Degenerate Evolution System Associated with the Bean Critical-State for Type II Superconductors

摘要

We study a degenerate evolution system containing the p-curl system in a bounded domain with initial and boundary conditions for the magnetic field H under the influence of a system force F. This is concerned with an approximation of Bean’s critical-state model for type II superconductors. We will show the existence, uniqueness, and regularity of solutions. Moreover we will get the properties of the limit solution as p→∞.