Overview

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 stability and controllability of classical models of continuum mechanics and of dynamical systems. The second part, ""Modelling of Smart Materials"", is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties. ""Well-Posedness in Materials with Memory"" deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations. ""Analytic Problems in Phase Transitions"" discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition.

Full Product Details

Author:   Mauro Fabrizio (Univ Of Bologna, Italy) ,  Barbara Lazzari (Univ Of Bologna, Italy) ,  Angelo Morro (Dibe, Univ Of Geno, Italy)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   62
Dimensions:   Width: 16.20cm , Height: 2.50cm , Length: 23.00cm
Weight:   0.680kg
ISBN:  

9789812382351

ISBN 10:   9812382356
Pages:   396
Publication Date:   17 December 2002
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Automatic Control Problems for Integrodifferential Parabolic Equations (C Cavaterra); Phase Relaxation Problems with Memory and Their Optimal Control (P Colli); Unified Dynamics of Particles and Photons (G Ferrarese); Solid-Solid Phase Transition in a Mechanical System (G Gilardi); KAM Methods for Nonautonomous Schrodinger Operators (S Graffi); Fractional Diffusion and Wave Equations (A Hanyga); Recovering a Memory Kernel in an Integrodifferential Stefan Problem (L Lorenzi); Balance Equations in Two-Fluid Models of Helium II (A Morro & M Fabrizio); A Non-Stationary Model in Superconductivity (R Nibbi & M Fabrizio); Some Remarks on the Conserved Penrose-Fife Phase Field Model with Memory Effects (E Rocca); Longterm Dynamics of a Conserved Phase-Field System with Memory (F M Vegni); and other papers.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions