Abstract
In the article the II-type superconducting mean-field model is investigated. We consider the physical boundary conditions for this model. Namely the magnetic field is given on the entire boundary of the domain and on the inflow part of the boundary an extra condition is required for the vorticity. This part of the boundary is unknown before resolving the problem. In fact we investigate the “free boundary problem”.
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In Memory of A. V. Kazhikhov
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Antontsev, S.N., Chemetov, N.V. (2009). Superconducting Vortices: Chapman Full Model. In: Fursikov, A.V., Galdi, G.P., Pukhnachev, V.V. (eds) New Directions in Mathematical Fluid Mechanics. Advances in Mathematical Fluid Mechanics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0152-8_3
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DOI: https://doi.org/10.1007/978-3-0346-0152-8_3
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