A Mathematical Model of the Meissner Effect in Superconductivity

This paper is a review of mathematical modeling of the Meissner effect in superconductivity. Chapter one is a brief history of the superconducting phenomenon, and the race to find better chemical compounds that are superconducting at higher temperatures. Chapter two discusses the two types of superconductors. In chapter three, some definitions and theorems from vector analysis that are used to develop the model are presented. Chapter four, the core of this thesis, illustrates the development of the mathematical model of the Meissner effect. The conclusion from this analysis is that the magnetic field penetrates a superconducting sample exponentially with a characteristic length such that the field is zero at the interior of the superconducto