Mauro Lo Schiavo's Books

Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models

By: N. Bellomo,Mauro Lo Schiavo

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Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models

By: N. Bellomo,Mauro Lo Schiavo

This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions. Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.

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Page Count

360

Publisher

World Scientific

Published Date

ISBN 10

9810240783

ISBN 13

9789810240783

Mathematical Models and Methods for Smart Material

Cortona, Italy, 25-29 June 2001

By: Mauro Fabrizio

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Mathematical Models and Methods for Smart Material

Cortona, Italy, 25-29 June 2001

By: Mauro Fabrizio

This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO 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.OCOModelling of Smart MaterialsOCO 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.OCOWell-Posedness in Materials with MemoryOCO 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.OCOAnalytic Problems in Phase TransitionsOCO 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.

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Page Count

404

Publisher

World Scientific

Published Date

ISBN 10

9812776273

ISBN 13

9789812776273

Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models

By: Nicola Bellomo,Mauro Lo Schiavo

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Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models

By: Nicola Bellomo,Mauro Lo Schiavo

This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions.Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.

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Page Count

355

Publisher

World Scientific

Published Date

ISBN 10

9814494259

ISBN 13

9789814494250

Book's by Mauro Lo Schiavo

Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models

Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models

Mathematical Models and Methods for Smart Material

Mathematical Models and Methods for Smart Material

Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models

Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models

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