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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 : 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 : 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 : 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.
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 : Roberto Mauri
Publisher : Springer Science & Business Media
ISBN 13 : 3709112273
Total Pages : 181 pages
Book Rating : 4.7/5 (91 download)
Download or read book Multiphase Microfluidics: The Diffuse Interface Model written by Roberto Mauri and published by Springer Science & Business Media. This book was released on 2012-05-31 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffuse interface (D.I.) model for muliphase flows.- Phase separation of viscous ternary liquid mixtures.- Dewetting and decomposing films of simple and complex liquids.- Phase-field models. Multiphase flows are typically described assuming that the different phases are separated by a sharp interface, with appropriate boundary conditions. This approach breaks down whenever the lengthscale of the phenomenon that is being studied is comparable with the real interface thickness, as it happens, for example, in the coalescence and breakup of bubbles and drops, the wetting and dewetting of solid surfaces and, in general, im micro-devices. The diffuse interface model resolves these problems by assuming that all quantities can vary continuously, so that interfaces have a non-zero thickness, i.e. they are "diffuse". The contributions in this book review the theory and describe some relevant applications of the diffuse interface model for one-component, two-phase fluids and for liquid binary mixtures, to model multiphase flows in confined geometries.
Author : Alain Miranville
Publisher : SIAM
ISBN 13 : 1611975921
Total Pages : 216 pages
Book Rating : 4.6/5 (119 download)
Download or read book The Cahn–Hilliard Equation: Recent Advances and Applications written by Alain Miranville and published by SIAM. This book was released on 2019-09-09 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to present a detailed discussion of both classical and recent results on the popular Cahn–Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn–Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the Cahn–Hilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
Author : Abdallah Sofiane Berrouk
Publisher : Bentham Science Publishers
ISBN 13 : 1608052966
Total Pages : 130 pages
Book Rating : 4.6/5 (8 download)
Download or read book Stochastic Lagrangian Modeling for Large Eddy Simulation of Dispersed Turbulent Two-Phase Flows written by Abdallah Sofiane Berrouk and published by Bentham Science Publishers. This book was released on 2011 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the dispersion and the deposition of inertial particles convected by turbulent flows is a domain of research of considerable industrial interest. Inertial particle transport and dispersion are encountered in a wide range of flow configurations, whether they are of industrial or environmental character. Conventional models for turbulent dispersed flows do not appear capable of meeting the growing needs of chemical, mechanical and petroleum industries in this regard and physical environment testing is prohibitive. Direct Numerical Simulation (DNS) and Large Eddy Simulation (LES) ha.
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 : 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.
Author : Martin Kružík
Publisher : Springer
ISBN 13 : 3030020657
Total Pages : 617 pages
Book Rating : 4.0/5 (3 download)
Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
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 : 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 : Bilen Emek Abali
Publisher : Springer
ISBN 13 : 3030133079
Total Pages : 586 pages
Book Rating : 4.0/5 (31 download)
Download or read book New Achievements in Continuum Mechanics and Thermodynamics written by Bilen Emek Abali and published by Springer. This book was released on 2019-03-13 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.
Author : Piotr Mucha
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonlocal and Abstract Parabolic Equations and Their Applications written by Piotr Mucha and published by . This book was released on 2009 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gary D. Doolen
Publisher : MIT Press
ISBN 13 : 9780262540636
Total Pages : 356 pages
Book Rating : 4.5/5 (46 download)
Download or read book Lattice Gas Methods written by Gary D. Doolen and published by MIT Press. This book was released on 1991 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids.Lattice gas methods are new parallel, high-resolution, high-efficiency techniques for solving partial differential equations. This volume focuses on progress in applying the lattice gas approach to partial differential equations that arise in simulating the flow of fluids. It introduces the lattice Boltzmann equation, a new direction in lattice gas research that considerably reduces fluctuations.The twenty-seven contributions explore the many available software options exploiting the fact that lattice gas methods are completely parallel, which produces significant gains in speed. Following an overview of work done in the past five years and a discussion of frontiers, the chapters describe viscosity modeling and hydrodynamic mode analyses, multiphase flows and porous media, reactions and diffusion, basic relations and long-time correlations, the lattice Boltzmann equation, computer hardware, and lattice gas applications.Gary D. Doolen is Acting Director of the Center for Nonlinear Studies at Los Alamos National Laboratory.
Author : Iulian Stoleriu
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (594 download)
Download or read book Integro-differential Equations in Materials Science written by Iulian Stoleriu and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
