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Paper detail

On exponentially shaped Josephson junctions

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.

preprint2012arXivOpen access
Monica De Angelis
cond-mat.supr-conmath-phmath.MPphysics.flu-dyn
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Monica De Angelis

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