This book contains 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.”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.
Mauro Fabrizio & Barbara Lazzari
MATH MODELS & METHODS FOR SMART….(V62) [PDF ebook]
MATH MODELS & METHODS FOR SMART….(V62) [PDF ebook]
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Språk Engelska ● Formatera PDF ● Sidor 396 ● ISBN 9789812776273 ● Filstorlek 16.0 MB ● Redaktör Mauro Fabrizio & Barbara Lazzari ● Utgivare World Scientific Publishing Company ● Stad Singapore ● Land SG ● Publicerad 2002 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 2446167 ● Kopieringsskydd Adobe DRM
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