Critical transport currents of superconducting microarrays

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In this letter we present preliminary results for the critical cur- rents, j , of a one-dimensional array of supercon- ducting vortices interacting with a harmonic pinning

Critical currents in superconducting networks and magnetic field

The proof of our result is obtained by the combination of two main ideas: the coupling and the Foias-Prodi estimate. The first subsection is a simple example devoted to understand

We would like to draw the attention of the reader that in the scalar case considered here the exact form of the optimal profile plays a central role in the analysis. We will

We consider a spherical superconductor in a uniform external field, and study vortices which appear near the lower critical field, the smallest value of the external field strength

show the existence of strictly monotone travelling fronts for the three main types of the nonlinearity: the positive source term, the combustion.. law, and the bistable

Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term. Higher-dimensional blow up for semilinear parabolic