Gradient profile for the reconnection of vortex lines with the boundary in type-II superconductors

DOI10.1007/s00028-023-00932-9arXiv2210.14773MaRDI QIDQ6139531

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Publication date: 19 January 2024

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.14773

zbMATH Keywords

singularity formationfinite-dimensional reductionself-similar variablescuspsgradient profiletype-II superconductorsvortex linesblow-up/extinction profilefinite time quenching/extinctionmode dynamicsreconnection with the boundaryshrinking set

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

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