Intelligent structures and coupling in mathematical models: Examples from dynamic electroelasticity

Melnik, (R.)V.N.

Proceedings of the IEEE International Conference ICPADM'97, Vol. 2, ISBN: 0-7803-2651-2, 995--998, 1997

Abstract:

Macroscopic mathematical models for intelligent structures are discussed. Due to a fundamental connection between densities of drift and diffusion currents and inter-dependency of relaxing particles such mathematical models acquire non-local features. This requires adequate mathematical tools in description of underlying physical and chemical processes. Some such tools are considered.

Key words: coupled mathematical models; drift-diffusion; dynamic electroelasticity; hyperbolic-elliptic coupling; numerical approximations; non-local features; relaxation phenomena.

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