Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity
Keyword(s):
The time-dependent Ginzburg-Landau equations of superconductivity with a time-dependent magnetic fieldHare discussed. We prove existence and uniqueness of weak and strong solutions withH1-initial data. The result is obtained under the “φ=−ω(∇⋅A)” gauge withω>0. These solutions generate a dynamical process and are uniformly bounded in time.
2017 ◽
Vol 29
(50)
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pp. 505701
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2015 ◽
Vol 29
(03)
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pp. 1550009
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2013 ◽
Vol 91
(7)
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pp. 1507-1515
Keyword(s):