Mathematical Models And Methods Of Localized Interaction Theory
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Mathematical Models And Methods Of Localized Interaction Theory
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Author : Abram I Bunimovich
language : en
Publisher: World Scientific
Release Date : 1995-02-14
Mathematical Models And Methods Of Localized Interaction Theory written by Abram I Bunimovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-14 with Technology & Engineering categories.
The interaction of the environment with a moving body is called “localized” if it has been found or assumed that the force or/and thermal influence of the environment on each body surface point is independent and can be determined by the local geometrical and kinematical characteristics of this point as well as by the parameters of the environment and body—environment interactions which are the same for the whole surface of contact.Such models are widespread in aerodynamics and gas dynamics, covering supersonic and hypersonic flows, and rarefied gas flows. They describe the influence of light on a body, and are used for modelling penetration of solids into metals and soils, etc.Localized Interaction Theory (LIT) studies various theoretical and applied problems using the most general description of the influence of the environment on the body. This makes it possible to integrate results obtained from different models and to create new universal methods that can be used for various conditions, even if the description of the real interaction model is unknown. Such a unified approach to the problems of analysis, calculation and optimization of the integral characteristics of bodies moving in different media is the main content of this book which is the first monograph on this subject. Many applications, chiefly in aerodynamics and space engineering are presented.
Mathematical Models And Methods Of Localized Interaction Theory
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Author : Abram I. Bunimovich
language : en
Publisher: World Scientific
Release Date : 1995
Mathematical Models And Methods Of Localized Interaction Theory written by Abram I. Bunimovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The interaction of the environment with a moving body is called ?localized? if it has been found or assumed that the force or/and thermal influence of the environment on each body surface point is independent and can be determined by the local geometrical and kinematical characteristics of this point as well as by the parameters of the environment and body?environment interactions which are the same for the whole surface of contact.Such models are widespread in aerodynamics and gas dynamics, covering supersonic and hypersonic flows, and rarefied gas flows. They describe the influence of light on a body, and are used for modelling penetration of solids into metals and soils, etc.Localized Interaction Theory (LIT) studies various theoretical and applied problems using the most general description of the influence of the environment on the body. This makes it possible to integrate results obtained from different models and to create new universal methods that can be used for various conditions, even if the description of the real interaction model is unknown. Such a unified approach to the problems of analysis, calculation and optimization of the integral characteristics of bodies moving in different media is the main content of this book which is the first monograph on this subject. Many applications, chiefly in aerodynamics and space engineering are presented.
Mathematical Models And Methods For Smart Materials
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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002-12-16
Mathematical Models And Methods For Smart Materials written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-16 with Mathematics categories.
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.
Mathematical Models And Methods For Smart Material
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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002
Mathematical Models And Methods For Smart Material written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
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."
Engineering Models In High Speed Penetration Mechanics And Their Applications In 2 Volumes
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Author : Gabi Ben-dor
language : en
Publisher: World Scientific
Release Date : 2018-12-28
Engineering Models In High Speed Penetration Mechanics And Their Applications In 2 Volumes written by Gabi Ben-dor and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-28 with Technology & Engineering categories.
This two-volume, 1100 pages, 38 chapters book is a significantly expanded, revised and updated version of the monograph by the authors published in 2013 (Ben-Dor, G, Dubinsky, A, Elperin, T, 'High Speed Penetration Dynamics: Engineering Models and Methods,' Singapore: World Scientific Publishing Company). The contents increased by 60%, the number of titles in bibliography doubled and reached 1600; and the scope covers a range of new topics related to hypervelocity penetration, along with high-speed impact.Presented material is structured into two parts. The first part includes description and analysis of practically all known engineering models for calculating high-speed penetration of projectiles into concrete, metals, geological shields, adobe, and gelatine.The second part focuses on the use of approximate models for solving conventional and non-standard problems of penetration mechanics including prediction and optimization of protective properties of monolithic and multi-layered shields against high-speed projectiles and space debris; shape optimization of high-speed projectiles penetrating into various media; modelling of penetration and optimal control of penetrators equipped with jet thrusters; and investigation of the efficiency and optimization of segmented projectiles. The book includes comprehensive overviews on basic classes of problems in high-speed penetration mechanics.This is a indispensable reference guide for scientists, engineers, and students specializing in the field of high-speed and hypervelocity penetration mechanics.
Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models
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Author : Nicola Bellomo
language : en
Publisher: World Scientific
Release Date : 2000-01-11
Lecture Notes On The Mathematical Theory Of Generalized Boltzmann Models written by Nicola Bellomo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-11 with Mathematics categories.
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.
Mathematical Methods In Electromagnetism Linear Theory And Applications
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Author : Michel Cessenat
language : en
Publisher: World Scientific
Release Date : 1996-07-13
Mathematical Methods In Electromagnetism Linear Theory And Applications written by Michel Cessenat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-13 with Mathematics categories.
This book provides the reader with basic tools to solve problems of electromagnetism in their natural functional frameworks thanks to modern mathematical methods: integral surface methods, and also semigroups, variational methods, etc., well adapted to a numerical approach.As examples of applications of these tools and concepts, we solve several fundamental problems of electromagnetism, stationary or time-dependent: scattering of an incident wave by an obstacle, bounded or not, by gratings; wave propagation in a waveguide, with junctions and cascades. We hope that mathematical notions will allow a better understanding of modelization in electromagnetism and emphasize the essential features related to the geometry and nature of materials.
Non Local Cell Adhesion Models
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Author : Andreas Buttenschön
language : en
Publisher: Springer Nature
Release Date : 2021-06-09
Non Local Cell Adhesion Models written by Andreas Buttenschön and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-09 with Mathematics categories.
This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.
Mathematical Methods For The Natural And Engineering Sciences
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Author : Ronald E. Mickens
language : en
Publisher: World Scientific
Release Date : 2004
Mathematical Methods For The Natural And Engineering Sciences written by Ronald E. Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Technology & Engineering categories.
This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.
Generalized Kinetic Models In Applied Sciences
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Author : Luisa Arlotti
language : en
Publisher: World Scientific Publishing Company
Release Date : 2003-08-12
Generalized Kinetic Models In Applied Sciences written by Luisa Arlotti and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-12 with Science categories.
This book deals with analytic problems related to some developments and generalizations of the Boltzmann equation toward the modeling and qualitative analysis of large systems that are of interest in applied sciences. These generalizations are documented in the various surveys edited by Bellomo and Pulvirenti with reference to models of granular media, traffic flow, mathematical biology, communication networks, and coagulation models. The above literature motivates applied mathematicians to study the Cauchy problem and to develop an asymptotic analysis for models regarded as developments of the Boltzmann equation. This book aims to initiate the research plan by the analyzing afore mentioned analysis problems. The first generalization dealt with refers to the averaged Boltzmann equation, which is obtained by suitable averaging of the distribution function of the field particles into the action domain of the test particle. This model is further developed to describe equations with dissipative collisions and a class of models that are of interest in mathematical biology. In this latter case the state of the particles is defined not only by a mechanical variable but also by a biological microscopic state. The book is essentially devoted to analytic aspects and deals with the analysis of the Cauchy problem and with the development of an asymptotic theory to obtain the macroscopic description from the mesoscopic one.