Abstract
The problem of superconductivity of type I mentioned in Section 1.3 was studied by A. Friedman and B. Hu [1]. They considered 1-d and 2-d geometries and proved that the problem can then be reduced to a free boundary problem for a parabolic system of equations, with Stefan-type condition on the free boundary; the free boundary is the interface between the superconducting and normal regions. They proved existence and regularity of the solution and of the free boundary, and studied the asymptotic behavior as t → ∞.
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References
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© 1992 Springer-Verlag New York, Inc.
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Friedman, A. (1992). Solutions to problems from parts 2–4. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and its Applications, vol 49. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7405-7_20
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DOI: https://doi.org/10.1007/978-1-4615-7405-7_20
Publisher Name: Springer, New York, NY
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