Download or read book Thermomechanics of Phase Transitions in Classical Field Theory written by Antonio Romano and published by World Scientific. This book was released on 1993 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complex processes of state changes can be interpreted by resorting to Statistical Quantum Mechanics. However, it is well known that a phenomenological description of state changes can be obtained by using the classical continuum theory. This book supplies a panoramic picture of known and new mathematical models which are suitable to describe phase changes from a macroscopic view point. All these models are derived from the theory of continuous systems with a nonmaterial interface and allow to describe processes of solidification, melting, and vaporization. The nonlocal continuum theory of systems with a non material interface provides a more complex mathematical model in dealing with crystal growth either in a pure melt or in a mixture. A chapter is devoted to the analysis of phase changes in ferroelectric and ferromagnetic crystals.
Download or read book Models of Phase Transitions written by Augusto Visintin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... "What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ... (From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools. This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX
Download or read book Dissipative Phase Transitions written by Pierluigi Colli and published by World Scientific. This book was released on 2006 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase transition phenomena arise in a variety of relevant real world situations, such as melting and freezing in a solid-liquid system, evaporation, solid-solid phase transitions in shape memory alloys, combustion, crystal growth, damage in elastic materials, glass formation, phase transitions in polymers, and plasticity. The practical interest of such phenomenology is evident and has deeply influenced the technological development of our society, stimulating intense mathematical research in this area. This book analyzes and approximates some models and related partial differential equation problems that involve phase transitions in different contexts and include dissipation effects. Contents: Mathematical Models Including a Hysteresis Operator (T Aiki); Modelling Phase Transitions via an Entropy Equation: Long-Time Behavior of the Solutions (E Bonetti); Global Solution to a One Dimensional Phase Transition Model with Strong Dissipation (G Bonfanti & F Luterotti); A Global in Time Result for an Integro-Differential Parabolic Inverse Problem in the Space of Bounded Functions (F Colombo et al.); Weak Solutions for Stefan Problems with Convections (T Fukao); Memory Relaxation of the One-Dimensional CahnOCoHilliard Equation (S Gatti et al.); Mathematical Models for Phase Transition in Materials with Thermal Memory (G Gentili & C Giorgi); Hysteresis in a First Order Hyperbolic Equation (J Kopfovi); Approximation of Inverse Problems Related to Parabolic Integro-Differential Systems of Caginalp Type (A Lorenzi & E Rocca); Gradient Flow Reaction/Diffusion Models in Phase Transitions (J Norbury & C Girardet); New Existence Result for a 3-D Shape Memory Model (I Pawlow & W M Zajaczkowski); Analysis of a 1-D Thermoviscoelastic Model with Temperature-Dependent Viscosity (R Peyroux & U Stefanelli); Global Attractor for the Weak Solutions of a Class of Viscous Cahn-Hilliard Equations (R Rossi); Stability for Phase Field Systems Involving Indefinite Surface Tension Coefficients (K Shirakawa); Geometric Features of p -Laplace Phase Transitions (E Valdinoci). Readership: Applied mathematicians and researchers in analysis and differential equations."
Download or read book The Physics of Phase Transitions written by Pierre Papon and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Physics of Phase Transitions occupies an important place at the crossroads of several fields central to materials sciences. This second edition incorporates new developments in the states of matter physics, in particular in the domain of nanomaterials and atomic Bose-Einstein condensates where progress is accelerating. New information and application examples are included. This work deals with all classes of phase transitions in fluids and solids, containing chapters on evaporation, melting, solidification, magnetic transitions, critical phenomena, superconductivity, and more. End-of-chapter problems and complete answers are included.
Download or read book Phase Transitions in Materials written by Brent Fultz and published by Cambridge University Press. This book was released on 2014-08-14 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear, concise and rigorous textbook covering phase transitions in the context of advances in electronic structure and statistical mechanics.
Download or read book Lectures on Probability and Second Order Random Fields written by Diego Bricio Hern ndez and published by World Scientific. This book was released on 1995 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book of lecture notes contains theoretical background material required for computer generation of random fields, which is of interest in various fields of applied mathematics.The necessary probabilistic background suitable for applied work in engineering as well as signal and image processing is also covered.The book is a valuable guide for higher level engineering students.
Download or read book Homogenization written by Sergei M. Kozlov and published by World Scientific. This book was released on 1999 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics. This volume contains original contributions of leading world experts in the field.
Download or read book Advanced Mathematical Computational Tools in Metrology IV written by P. Ciarlini and published by World Scientific. This book was released on 2000 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, are likely to benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people in universities, research centers and industries who are involved in measurements and need advanced mathematical tools to solve their problems, and to those developing such mathematical tools.
Download or read book Advanced Mathematical Computational Tools in Metrology VI written by P. Ciarlini and published by World Scientific. This book was released on 2004 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects refereed contributions based on the presentations made at the Sixth Workshop on Advanced Mathematical and Computational Tools in Metrology, held at the Istituto di Metrologia “G. Colonnetti” (IMGC), Torino, Italy, in September 2003. It provides a forum for metrologists, mathematicians and software engineers that will encourage a more effective synthesis of skills, capabilities and resources, and promotes collaboration in the context of EU programmes, EUROMET and EA projects, and MRA requirements. It contains articles by an important, worldwide group of metrologists and mathematicians involved in measurement science and, together with the five previous volumes in this series, constitutes an authoritative source for the mathematical, statistical and software tools necessary to modern metrology.The proceedings have been selected for coverage in: Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)CC Proceedings — Engineering & Physical Science
Download or read book Global Controllability And Stabilization Of Nonlinear Systems written by Sergey Nikitin and published by World Scientific. This book was released on 1994-09-30 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to provide a self-contained, complete and geometrically clear presentation of the recent results on global controllability and stabilization. It contains many pictures and exercises so as to develop a geometrical control intuition and inspire the reader to think independently. The material presented is organized such that for Part I, it is only assumed that the reader has mastered the very basic notions of ordinary differential equation theory, general topology and analytic geometry. For Part II, the reader is assumed to be familiar with the elements of differential geometry.
Download or read book On the Way to Understanding the Time Phenomenon written by A. P. Levich and published by World Scientific. This book was released on 1995 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is time, one of the small number of elusive essences of the world, unsubdued by human will. The three global problems of natural science, those of the origin of the Universe, life and consciousness, cannot be solved without finding out the nature of time. Without a good construction of time it is impossible to describe, to qualify, to forecast and to control various processes in the animate and inanimate nature. Special attention is paid to the ways of adequate inclusion of the properties of time in the derivation of the fundamental equations of motion for natural systems.
Download or read book Advanced Mathematical Tools In Metrology Proceedings Of The International Workshop written by Nicola Bellomo and published by World Scientific. This book was released on 1994-05-18 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume will interest researchers and others involved with high-precision measurements and the development of mathematical tools for this purpose. Advances in metrology depend on improvements in scientific and technical knowledge, the quality of instruments, a better use of advanced mathematical tools and the development of new ones.A tradition of close cooperation between metrologists and mathematicians, while found elsewhere, is lacking in Italy. This workshop wishes to start such a cooperation by providing a common meeting ground. Several industrial sectors, particularly those of instrumentation and software, are likely to benefit from this process, since metrology has a high impact on the overall quality of industrial products and applied mathematics is becoming increasingly important in industrial processes.
Download or read book Impulsive Differential Equations with a Small Parameter written by Dimit?r Ba?nov and published by World Scientific. This book was released on 1994 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.
Download or read book Constrained Control Problems of Discrete Processes written by Ngoc Phat Vu and published by World Scientific. This book was released on 1996 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a novel treatment of recent advances on constrained control problems with emphasis on the controllability, reachability of dynamical discrete-time systems. The new proposed approach provides the right setting for the study of qualitative properties of general types of dynamical systems in both discrete-time and continuous-time systems with possible applications to some control engineering models. Most of the material appears for the first time in a book form. The book is addressed to advanced students, postgraduate students and researchers interested in control system theory and optimal control.
Download or read book The Fokker Planck Equation for Stochastic Dynamical Systems and Its Explicit Steady State Solutions written by Christian Soize and published by World Scientific. This book was released on 1994 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an analysis of multidimensional nonlinear dissipative Hamiltonian dynamical systems subjected to parametric and external stochastic excitations by the Fokker-Planck equation method.The author answers three types of questions concerning this area. First, what probabilistic tools are necessary for constructing a stochastic model and deriving the FKP equation for nonlinear stochastic dynamical systems? Secondly, what are the main results concerning the existence and uniqueness of an invariant measure and its associated stationary response? Finally, what is the class of multidimensional dynamical systems that have an explicit invariant measure and what are the fundamental examples for applications?
Download or read book Geometric Control and Nonsmooth Analysis written by Fabio Ancona and published by World Scientific. This book was released on 2008 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to provide a synthetic account of past research, to give an up-to-date guide to current intertwined developments of control theory and nonsmooth analysis, and also to point to future research directions.
Download or read book From Genetics to Mathematics written by Miroslaw Lachowicz and published by World Scientific. This book was released on 2009 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains pedagogical and elementary introductions to genetics for mathematicians and physicists as well as to mathematical models and techniques of population dynamics. It also offers a physicist''s perspective on modeling biological processes. Each chapter starts with an overview followed by the recent results obtained by authors. Lectures are self-contained and are devoted to various phenomena such as the evolution of the genetic code and genomes, age-structured populations, demography, sympatric speciation, the Penna model, Lotka-Volterra and other predator-prey models, evolutionary models of ecosystems, extinctions of species, and the origin and development of language. Authors analyze their models from the computational and mathematical points of view.
