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Author : Herbert Gajewski
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (763 download)
Download or read book On a Nonlocal Model of Non-isothermal Phase Separation written by Herbert Gajewski and published by . This book was released on 2001 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Wilhelm Alt
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (17 download)
Download or read book ˜Aœ Mathematical Model of Dynamics of Non-isothermal Phase Separation written by Hans Wilhelm Alt and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tina R. Hartley
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (246 download)
Download or read book An Analysis of Phase Separation Processes for Stochastic and Nonlocal Extensions of the Classical Phase-field Model written by Tina R. Hartley and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Phase separation in composite materials, or materials that are made up of two or more different components, is a process in which the material separates over time into regions of predominantly one component or the other. Because these composite materials are often developed to be used under certain conditions, significant changes of this nature in their material composition can dramatically affect their performance, thus it is important to understand the dynamic behavior of these changes. One mathematical model of phase separation is the classical phase field model, which is a system of nonlinear evolution equations that describes nonisothermal phase separation. Instead of a composite material, the phase field model describes pure materials which can assume two different phases; for example, a solid and a liquid phase. In this dissertation, I analyze the behavior of solutions of the phase field model, along with two extensions to the classical model. One extension is the addition of stochastic terms to the model, thus incorporating random behavior into the equations to address fluctuations in temperature, structural imperfections of the material, or other unknown effects. The other extension is the addition of a nonlocal operator to account for long range interactions. The behavior of all three variations of the phase field model is studied through numerical simulations, and the results compared to describe the differences between the models. In addition, I present a proof showing that the numerical method converges to the true solution of the phase field model.
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 : Hermann Brunner
Publisher : American Mathematical Soc.
ISBN 13 : 0821837214
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonlinear Dynamics and Evolution Equations written by Hermann Brunner and published by American Mathematical Soc.. This book was released on 2006 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume reflect a broad spectrum of current research activities on the theory and applications of nonlinear dynamics and evolution equations. They are based on lectures given during the International Conference on Nonlinear Dynamics and Evolution Equations at Memorial University of Newfoundland, St. John's, NL, Canada, July 6-10, 2004. This volume contains thirteen invited and refereed papers. Nine of these are survey papers, introducing the reader to, anddescribing the current state of the art in major areas of dynamical systems, ordinary, functional and partial differential equations, and applications of such equations in the mathematical modelling of various biological and physical phenomena. These papers are complemented by four research papers thatexamine particular problems in the theory and applications of dynamical systems. Information for our distributors: Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Author : Hans Wilhelm Alt
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (461 download)
Download or read book Existence of solutions for non-isothermal phase separation written by Hans Wilhelm Alt and published by . This book was released on 1991 with total page 70 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 : Michael Hintermüller
Publisher : Springer Nature
ISBN 13 : 3030331164
Total Pages : 396 pages
Book Rating : 4.0/5 (33 download)
Download or read book Topics in Applied Analysis and Optimisation written by Michael Hintermüller and published by Springer Nature. This book was released on 2019-11-27 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.
Author :
Publisher :
ISBN 13 :
Total Pages : 680 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 2008 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mohammad Hassan Farshbaf Shaker
Publisher :
ISBN 13 :
Total Pages : 71 pages
Book Rating : 4.:/5 (184 download)
Download or read book On a Nonlocal Viscous Phase Separation Model written by Mohammad Hassan Farshbaf Shaker and published by . This book was released on 2007 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian Heinemann
Publisher : Springer Science & Business Media
ISBN 13 : 365805252X
Total Pages : 177 pages
Book Rating : 4.6/5 (58 download)
Download or read book Phase Separation Coupled with Damage Processes written by Christian Heinemann and published by Springer Science & Business Media. This book was released on 2014-03-24 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors explore a unifying model which couples phase separation and damage processes in a system of partial differential equations. The model has technological applications to solder materials where interactions of both phenomena have been observed and cannot be neglected for a realistic description. The equations are derived in a thermodynamically consistent framework and suitable weak formulations for various types of this coupled system are presented. In the main part, existence of weak solutions is proven and degenerate limits are investigated.
Author : Herbert Gajewski
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (763 download)
Download or read book On a Nonlocal Phase Separation Model written by Herbert Gajewski and published by . This book was released on 2001 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierluigi Colli
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)
Download or read book On an Application of Tikhonov's Fixed Point Theorem to a Nonlocal Cahn-Hilliard Type System Modeling Phase Separation written by Pierluigi Colli and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper investigates a nonlocal version of a model for phase separation on an atomic lattice that was introduced by P. Podio-Guidugli in Ric. Mat. 55 (2006) 105-118. The model consists of an initial-boundary value problem for a nonlinearly coupled system of two partial differential equations governing the evolution of an order parameter p and the chemical potential my. Singular contributions to the local free energy in the form of logarithmic or ouble-obstacle potentials are admitted. In contrast to the local model, which was studied by P. Podio-Guidugli and the present authors in a series of recent publications, in the nonlocal case the equation governing the evolution of the order parameter contains in place of the Laplacian a nonlocal expression that originates from nonlocal contributions to the free energy and accounts for possible long-range interactions between the atoms. It is shown that just as in the local case the model equations are well posed, where the technique of proving existence is entirely different: it is based on an application of Tikhonov's fixed point theorem in a rather unusual separable and reflexive Banach space.
Author : H. W. Alt
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (897 download)
Download or read book A Mathematical Model of Dynamics of Non-isothermal Phase Seperation written by H. W. Alt and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)
Download or read book Advances in Mathematical Sciences and Applications written by and published by . This book was released on 2002 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Holm Altenbach
Publisher : Springer
ISBN 13 : 3319724401
Total Pages : 799 pages
Book Rating : 4.3/5 (197 download)
Download or read book Generalized Models and Non-classical Approaches in Complex Materials 1 written by Holm Altenbach and published by Springer. This book was released on 2018-03-24 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of 2 special volumes dedicated to the memory of Gérard Maugin. Including 40 papers that reflect his vast field of scientific activity, the contributions discuss non-standard methods (generalized model) to demonstrate the wide range of subjects that were covered by this exceptional scientific leader. The topics range from micromechanical basics to engineering applications, focusing on new models and applications of well-known models to new problems. They include micro–macro aspects, computational endeavors, options for identifying constitutive equations, and old problems with incorrect or non-satisfying solutions based on the classical continua assumptions.
