2013/12/12 by Kamel Attar, Attar, Kamel · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #82D55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #Superconductivity in MgB2 and Alloys #math.AP #msc:82D55
paper · pdf · doi:10.48550/arxiv.1312.3569
arXiv admin note: text overlap with arXiv:1109.1287 by other authors
arxiv created 2013/12/12 · openalex publication_date 2013/12/12 · arxiv updated 2013/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the Ginzburg-Landau functional with a variable applied magnetic field in a bounded and smooth two dimensional domain. We determine an accurate asymptotic formula for the minimizing energy when the Ginzburg-Landau parameter and the magnetic field are large and of the same order. As a consequence, it is shown how bulk superconductivity decreases in average as the applied magnetic field increases.