Distributed Capacitance Mictostructure in Conductors

Abstract

A new model for distributed capacicance in a conduction medium is introduced as a system of local RC diffusion equations coupled by a global elliptic equation. This model contains the local geometry of the distributed capacitors on which charge is stored and the exchange of current flux on their interface with the medium. The resulting degenerate initial—boundary—value problem in shown to be well posed and certain singular limits are characterized.

Keywords:

• nonlinear parabolic system, distributed systes, microstructure, maximal monolone operatons, evolution equaions

Additional information

Notes on contributors

R. P. Gilbert

packer Lindsay