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- W2963437786 abstract "Abstract We establish the existence of a global solution for a new family of fluid-like equations, which are obtained in certain regimes in [24] as the mean-field evolution of the supercurrent density in a (2D section of a) type-II superconductor with pinning and with imposed electric current. We also consider general vortex-sheet initial data, and investigate the uniqueness and regularity properties of the solution. For some choice of parameters, the equation under investigation coincides with the so-called lake equation from 2D shallow water fluid dynamics, and our analysis then leads to a new existence result for rough initial data." @default.
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- W2963437786 date "2018-08-01" @default.
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- W2963437786 title "Well-posedness for mean-field evolutions arising in superconductivity" @default.
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- W2963437786 doi "https://doi.org/10.1016/j.anihpc.2017.11.004" @default.
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