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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 : 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 : 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:
Download or read book An Analysis of Phase Separation Processes for Stochastic and Nonlocal Extensions of the Classical Phase-field Model written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: An analysis of phase separation processes for stochastic and nonlocal extensions of the classical phase-field model.
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 : 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 : Ping Zhang
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (783 download)
Download or read book Periodic Phase Separation written by Ping Zhang and published by . This book was released on 2006 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, we investigate a model for periodic phase separation. The model consists primarily of a modified Cahn-Hilliard equation which is simply a gradient flow for a nonlocal energy functional. This functional was introduced to model microphase separation of diblock copolymers. Numerical experiments are performed, both to test certain hypotheses as well as explore the complex energy landscape of the nonlocal functional. The numerical method used is a split-step pseudo-spectral method. We solve the modified Cahn-Hilliard equation in two steps: first we solve the linear part of the equation and the advance the solution according to the nonlinear part. The nonlinear term is treated pseudo-spectrally.
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 : J. F. Blowey
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (112 download)
Download or read book The Cahn-Hilliard Gradient Theory for Phase Separation with Non-smooth Free Energy written by J. F. Blowey and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jens André Griepentrog
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (646 download)
Download or read book On the Unique Solvability of a Nonlocal Phase Separation Problem for Multicomponent Systems written by Jens André Griepentrog and published by . This book was released on 2004 with total page 13 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 : Jianlong Han
Publisher :
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (129 download)
Download or read book Non-local Cahn-Hilliard Equation written by Jianlong Han and published by . This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhang, Tao
Publisher : KIT Scientific Publishing
ISBN 13 : 3731510022
Total Pages : 224 pages
Book Rating : 4.7/5 (315 download)
Download or read book Phase-field Modeling of Phase Changes and Mechanical Stresses in Electrode Particles of Secondary Batteries written by Zhang, Tao and published by KIT Scientific Publishing. This book was released on 2021-09-27 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most storage materials exhibit phase changes, which cause stresses and, thus, lead to damage of the electrode particles. In this work, a phase-field model for the cathode material NaxFePO4 of Na-ion batteries is studied to understand phase changes and stress evolution. Furthermore, we study the particle size and SOC dependent miscibility gap of the nanoscale insertion materials. Finally, we introduce the nonlocal species concentration theory, and show how the nonlocality influences the results.
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 : Pierluigi Colli
Publisher : Springer
ISBN 13 : 3319644890
Total Pages : 572 pages
Book Rating : 4.3/5 (196 download)
Download or read book Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs written by Pierluigi Colli and published by Springer. This book was released on 2017-11-03 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics. These contributions are dedicated to Professor Gianni Gilardi on the occasion of his 70th birthday. It particularly develops the following thematic areas: nonlinear dynamic and stationary equations; well-posedness of initial and boundary value problems for systems of PDEs; regularity properties for the solutions; optimal control problems and optimality conditions; feedback stabilization and stability results. Most of the articles are presented in a self-contained manner, and describe new achievements and/or the state of the art in their line of research, providing interested readers with an overview of recent advances and future research directions in PDEs.
Author : Guangyu Zhao
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (129 download)
Download or read book On a Class of Nonlocal Evolution Equations written by Guangyu Zhao and published by . This book was released on 2005 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (115 download)
Download or read book The Cahn-Hilliard Gradient Theory for Phase Separation with Non-smooth Free Energy written by and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
