This text is based on lectures presented at the International Conference on Partial
Differential Equations (PDEs) on Multistructures, held in Luminy, France. It contains …

A method for obtaining estimates of asymptotic remainders is presented. The constants in
estimates are independent of the number of the eigenvalue, as well as of the small …

The present work aims at proposing a rigorous analysis of the mathematical and numerical
modelling of ultrasonic piezoelectric sensors. This includes the well-posedness of the final …

The primary objective of this paper is to present a simplified model for an array of Atomic
Force Microscopes (AFMs) operating in static mode. Its derivation is based on the asymptotic …

This paper is devoted to the modelling of thin elastic plates with small, periodically
distributed, piezoelectric inclusions, in view of active controlled structure design. The initial …

The aim of this paper was to obtain a new model for the bending-stretching of an anisotropic
heterogeneous linearly piezoelectric cantilever rod when the electric potential is applied on …

This paper focuses on the design of distributed control related to distributed mechanical
systems. The sensors and actuators are assumed to be numerous and periodically …

We state a simplified model of thin elastic plate including in the one side an embedded
periodic distribution of piezoelectric sensors and actuators and in the other side a periodic …

Deux mod&les de plaque mince avec inclusions piCzo6lectriques et circuits Clectroniques
distribuh Page 1 CR Acad. Sci. Paris, t. 326, Sbrie II b, p. 793-798, 1998 Mkcanique des solides …

This paper aims at presenting in a synthetic way mathematical results that have been
rigorously and recently derived by the authors. These results deal with the simplified but …