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Author : Pavel Krejčí
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (18 download)
Download or read book Nonlocal Temperature Dependent Phase Field Models for Non-isothermal Phase Transitions written by Pavel Krejčí and published by . This book was released on 2005 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pavel Krejčí
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (764 download)
Download or read book Nonlocal Phase Field Models for Non-isothermal Phase Transitions and Hysteresis written by Pavel Krejčí and published by . This book was released on 2003 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jürgen Sprekels
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (59 download)
Download or read book Global Existence and Asymptotic Behaviour for a Nonlocal Phase Field Model for Non-isothermal Phase Transitions written by Jürgen Sprekels and published by . This book was released on 2001 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Mielke
Publisher : Springer Science & Business Media
ISBN 13 : 3540356576
Total Pages : 704 pages
Book Rating : 4.5/5 (43 download)
Download or read book Analysis, Modeling and Simulation of Multiscale Problems written by Alexander Mielke and published by Springer Science & Business Media. This book was released on 2006-10-14 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
Author :
Publisher :
ISBN 13 :
Total Pages : 574 pages
Book Rating : 4.3/5 (91 download)
Download or read book Discrete and Continuous Dynamical Systems written by and published by . This book was released on 2006 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierluigi Colli
Publisher : World Scientific
ISBN 13 : 9812774297
Total Pages : 321 pages
Book Rating : 4.8/5 (127 download)
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."
Author : Augusto Visintin
Publisher : Springer Science & Business Media
ISBN 13 : 1461240786
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)
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
Author : Alain Miranville
Publisher : Nova Publishers
ISBN 13 : 9781594543173
Total Pages : 306 pages
Book Rating : 4.5/5 (431 download)
Download or read book Mathematical Methods and Models in Phase Transitions written by Alain Miranville and published by Nova Publishers. This book was released on 2005 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modelling and the study of phase transition phenomena are capital issues as they have essential applications in material sciences and in biological and industrial processes. We can mention, e.g., phase separation in alloys, ageing of materials, microstructure evolution, crystal growth, solidification in complex alloys, surface diffusion in the presence of stress, evolution of the surface of a thin flow in heteroepitaxial growth, motion of voids in interconnects in integrated circuits, treatment of airway closure disease by surfactant injection, fuel injection, fire extinguishers etc., This book consists of 11 contributions from specialists in the mathematical modelling and analysis of phase transitions. The content of these contributions ranges from the modelling to the mathematical and numerical analysis. Furthermore, many numerical simulations are presented. Finally, the contributors have tried to give comprehensive and accurate reference lists. This book should thus serve as a reference book for researchers interested in phase transition phenomena.
Author : Hans Wilhelm Alt
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (753 download)
Download or read book Models of non-isothermal phase transitions in multicomponent systems written by Hans Wilhelm Alt and published by . This book was released on 1992 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Haas
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (16 download)
Download or read book Modeling and Analysis for General Non-isothermal Convective Phase Field Systems written by Robert Haas and published by . This book was released on 2007 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian Heinemann
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book A Temperature-dependent Phase-field Model for Phase Separation and Damage written by Christian Heinemann and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study a model for phase separation and damage in thermoviscoelastic materials. The main novelty of the paper consists in the fact that, in contrast with previous works in the literature (cf., e.g., [21, 22]), we encompass in the model thermal processes, nonlinearly coupled with the damage, concentration and displacement evolutions. More in particular, we prove the existence of "entropic weak solutions", resorting to a solvability concept first introduced in [10] in the framework of Fourier-Navier-Stokes systems and then recently employed in [9, 38] for the study of PDE systems for phase transition and damage. Our global-intime existence result is obtained by passing to the limit in a carefully devised time-discretization scheme.
Author : H. W. Alt
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)
Download or read book Models of Non-isothermal Phase Transitions in Multicomponent Systems written by H. W. Alt and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Cătălin Lefter
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (198 download)
Download or read book Optimal Boundary Control of a Phase Field System Modeling Nonisothermal Phase Transitions written by Cătălin Lefter and published by . This book was released on 2006 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Wilhelm Alt
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (585 download)
Download or read book Models of non-isothermal phase transitions in multicomponent systems written by Hans Wilhelm Alt and published by . This book was released on 1992 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.:/5 (3 download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1988 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 940 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Akira Onuki
Publisher : Cambridge University Press
ISBN 13 : 1139433164
Total Pages : 726 pages
Book Rating : 4.1/5 (394 download)
Download or read book Phase Transition Dynamics written by Akira Onuki and published by Cambridge University Press. This book was released on 2002-06-06 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase Transition Dynamics, first published in 2002, provides a fully comprehensive treatment of the study of phase transitions. Building on the statistical mechanics of phase transitions, covered in many introductory textbooks, it will be essential reading for researchers and advanced graduate students in physics, chemistry, metallurgy and polymer science.
