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W2034603661 abstract "Abstract In this article the mean-field vortex model arising from the II-type superconductivity is investigated. The vortex model is reduced to a nonlinear hyperbolic–elliptic system of PDEs in a bounded domain. Motivated by experiments, we consider physical boundary conditions, which describe a flux of superconducting vortices through the boundary of the domain. We prove the global solvability for the system. To show the solvability result we take a vanishing “viscosity” limit in an approximated parabolic–elliptic system. Since the approximated solutions do not have a compactness property, we justify this limit transition, using a kinetic formulation of our problem. The main trick is that instead of the nonlinear system, we have to investigate a linear transport equation." @default.
W2034603661 created "2016-06-24" @default.
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W2034603661 date "2011-08-01" @default.
W2034603661 modified "2023-09-27" @default.
W2034603661 title "-solvability of a full superconductive model" @default.
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W2034603661 doi "https://doi.org/10.1016/j.nonrwa.2010.12.026" @default.
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