论文信息 - Global minimizers for the Ginzburg–Landau functional below the first critical magnetic field - 字舞流文

Global minimizers for the Ginzburg–Landau functional below the first critical magnetic field

Abstract We prove that the global minimizer of the Ginzburg–Landau functional of superconductors in an external magnetic field is, below the first critical field, the vortex-less solution found in (S. Serfaty, to appear).

Sylvia Serfaty | Etienne Sandier | S. Serfaty | E. Sandier

[1] F. Béthuel,et al. Vortices for a variational problem related to superconductivity , 1995 .

[2] J. Rubinstein. Six lectures on superconductivity , 1998 .

[3] Etienne Sandier,et al. Lower Bounds for the Energy of Unit Vector Fields and Applications , 1998 .

[4] Luís Almeida,et al. Topological methods for the Ginzburg-Landau equations , 1998 .

[5] Sylvia Serfaty,et al. ON THE ENERGY OF TYPE-II SUPERCONDUCTORS IN THE MIXED PHASE , 2000 .

[6] R. Feynman. Superfluidity and Superconductivity , 1957 .

[7] Sylvia Serfaty. Sur l'équation de Ginzburg-Landau avec champ magnétique , 1998 .

[8] Sylvia Serfaty,et al. Stable Configurations in Superconductivity: Uniqueness, Multiplicity, and Vortex‐Nucleation , 1999 .

[9] F. Béthuel,et al. Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité , 1994 .

[10] P. Felmer,et al. Local minimizers for the Ginzburg-Landau energy , 1997 .

[11] Sylvia Serfaty,et al. LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART II , 1999 .

[12] H. Brezis,et al. Ginzburg-Landau Vortices , 1994 .

[13] R. Jerrard. Lower bounds for generalized Ginzburg-Landau functionals , 1999 .