Top-level heading

On the Ginzburg-Landau Functional in the Surface Superconductivity Regime

Categoria
Seminari di Analisi Matematica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker

Michele Correggi (Sapienza Università di Roma)

We shall discuss the behavior of type II superconductors in the framework of Ginzburg-Landau theory for an applied magnetic field varying between the second and third critical fields. In this regime superconductivity is restricted to a thin layer along the boundary of the sample and we will prove that the Ginzburg-Landau energy is determined to leading order by the minimization of a simplified 1D functional in the direction perpendicular to the boundary. In the special case of disc samples, we will derive pointwise estimates on the Ginzburg-Landau order parameter, thereby proving a conjecture due to Xing-Bin Pan.