On a parabolic operator of dissipative systems

Abstract

A parabolic integro differential operator operator L suitable to describe many phenomena in various physical fields,is considered. By means of equivalence between L and the third order equation which describe the evolution inside an exponentially shaped Josephson junction (ESJJ), an asymptotic analysis for (ESJJ) is achieved, evaluating explicitly boundary contributions related to the Dirichlet problem.

References in corpus (4)

• Existence and uniqueness of solutions of a class of 3rd order dissipative problems with various boundary conditions describing the Josephson effect
• Diffusion and wave behaviour in linear Voigt model
• Common features of vortex structure in long exponentially shaped Josephson junctions and Josephson junctions with inhomogeneities
• Diffusion effects on a superconductive model