The Ginzburg-Landau model for superconductivity is considered in two dimensions. We show, for smooth bounded domains, that superconductivity remains concentrated near the surface when the appliedâ€¦ (More)

BACKGROUND
Evidence from observational studies have raised the possibility that statin treatment reduces the incidence of certain bacterial infections, particularly pneumonia. We analyzed data from aâ€¦ (More)

The stability of the normal state of superconductors in the presence of electric currents is studied in the large domain limit. The model being used is the time-dependent Ginzburgâ€“ Landau model, inâ€¦ (More)

We consider a large number of randomly dispersed spherical, identical, inclusions in a bounded domain, with conductivity different than that of the host medium. In the dilute limit, with some mildâ€¦ (More)

The Ginzburgâ€“Landau model of superconductivity is considered in three dimensions. We show, for smooth bounded domains, that the superconductivity order parameter decays exponentially fast away fromâ€¦ (More)

We consider the Ginzburg-Landau model of superconductivity in two dimensions in the large Îº limit. For applied magnetic fields weaker than the onset field HC3 but greater than HC2 it is well knownâ€¦ (More)

We consider the linearization of the time-dependent Ginzburg-Landau near the normal state. We assume that an electric current is applied through the sample, which captures the whole plane, inducingâ€¦ (More)

The macroscale rheological properties of a dilute suspension exposed to a uniform external field and composed of identical, rigid, inhomogeneous, dipolar, spherical particles dispersed in anâ€¦ (More)

In 1957 Abrikosov published his work on periodic solutions to the linearized Ginzburg-Landau equations. Abrikosovâ€™s analysis assumes periodic boundary conditions, which are very different from theâ€¦ (More)