On exponentially shaped Josephson junctions
Mathematical Physics
2012-03-08 v1 Superconductivity
math.MP
Fluid Dynamics
Abstract
The paper deals with a third order semilinear equation which char- acterizes exponentially shaped Josephson junctions in superconductivity. The initial-boundary problem with Dirichlet conditions is analyzed. When the source term F is a linear function, the problem is explicitly solved by means of a Fourier series with properties of rapid convergence. When F is nonlin- ear, appropriate estimates of this series allow to deduce a priori estimates, continuous dependence and asymptotic behaviour of the solution.
Keywords
Cite
@article{arxiv.1202.5189,
title = {On exponentially shaped Josephson junctions},
author = {Monica De Angelis},
journal= {arXiv preprint arXiv:1202.5189},
year = {2012}
}