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A collection of the papers presented at the conference on "Mathematical Models and Methods for Smart Materials", held in Italy in 2001. The papers are divided into four parts. "Methods in Materials Science" deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of... more...

"The Proceedings of the 1st Conference on New Trends in Fluid and Solid Models" provide an overview of results and new models in fluid dynamics and, in general, in continuum mechanics. The contributions refer in particular to models in continuum mechanics, phase transitions, qualitative analysis for ODEs or PDEs models, Stability in fluids and solids, wave propagation, discontinuity and shock waves, and numerical simulations.

Describes general mathematical modeling of viscoelastic materials as systems with fading memory. Discusses the interrelation between topics such as existence, uniqueness, and stability of initial boundary value problems, variational and extremum principles, and wave propagation. Demonstrates the deep connection between the properties of the solution to initial boundary value problems and the requirements of the general physical principles. Discusses... more...