非均匀外加磁场中二型超导体的能量估计

Energy for Type-ⅡSuperconductors Placed in a Non-Uniform Magnetic Field

本文研究当κ很大时置于非均匀外加磁场中超导体的能量,其中外加磁场远离第一与第二临界磁场．我们得到了任意外加磁场中极小能量的渐进性态,从而解决了Sandier和Serfatv提出的猜想:极小能量与变磁场的权的形式成比例．

In this paper, we study the Ginzburg-Landau energy of superconductors submitted to a possibly non-uniform magnetic field p（x）hex in the limit of a large κ, for the applied magnetic field varying between the two critical fields Hc1 and Hc2. We obtain the asymptotic behavior of minimal energy for arbitrary fields, which answers a conjecture raised by Sandier and Serfaty.