Dynamics Of Internal Layers And Diffusive Interfaces
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Dynamics Of Internal Layers And Diffusive Interfaces
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Author : Paul C. Fife
language : en
Publisher: SIAM
Release Date : 1988-01-01
Dynamics Of Internal Layers And Diffusive Interfaces written by Paul C. Fife and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Technology & Engineering categories.
Interfacial phenomena are commonplace in physics, chemistry, biology, and in various disciplines bridging these fields. They occur whenever a continuum is present which can exist in at least two different chemical or physical "states," and there is some mechanism which generates or enforces a spatial separation between these states. The separation boundary is then called an interface. In the examples studied here, the separation boundary, and its internal structure, result from the balance between two opposing tendencies: a diffusive effect which attempts to mix and smooth the properties of the material, and a physical or chemical mechanism which works to drive it to one or the other pure state. This volume is unique in that the treatment of flames, as well as internal layer dynamics "including curvature effects," is more detailed and systematic than in publications.
Dynamics Of Internal Layers And Diffusive Interfaces
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Author : Paul C. Fife
language : en
Publisher: SIAM
Release Date : 1988-01-01
Dynamics Of Internal Layers And Diffusive Interfaces written by Paul C. Fife and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Technology & Engineering categories.
A good introduction to interfacial phenomena and is unique in its treatment of flames, as well as internal layer dynamics.
Partial Differential Equations And Applications
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Author : Giorgio Talenti
language : en
Publisher: Routledge
Release Date : 2017-10-02
Partial Differential Equations And Applications written by Giorgio Talenti and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-02 with Mathematics categories.
Written as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Papers discuss a variety of topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial differential equations of elliptic type.
The Mathematics Of Diffusion
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Author : Wei-Ming Ni
language : en
Publisher: SIAM
Release Date : 2011-10-13
The Mathematics Of Diffusion written by Wei-Ming Ni and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-13 with Mathematics categories.
Diffusion has been used extensively in many scientific disciplines to model a wide variety of phenomena. The Mathematics of Diffusion focuses on the qualitative properties of solutions to nonlinear elliptic and parabolic equations and systems in connection with domain geometry, various boundary conditions, the mechanism of different diffusion rates, and the interaction between diffusion and spatial heterogeneity. The book systematically explores the interplay between different diffusion rates from the viewpoint of pattern formation, particularly Turing's diffusion-driven instability in both homogeneous and heterogeneous environments, and the roles of random diffusion, directed movements and spatial heterogeneity in the classical Lotka–Volterra competition systems. Interspersed throughout the book are many simple, fundamental and important open problems for readers to investigate.
Interfaces Modeling Analysis Numerics
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Author : Eberhard Bänsch
language : en
Publisher: Springer Nature
Release Date : 2023-11-11
Interfaces Modeling Analysis Numerics written by Eberhard Bänsch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-11 with Mathematics categories.
These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization. We first give an introduction to classical methods from differential geometry and systematically derive the governing equations from physical principles. Then we will analyse parametric approaches to interface evolution problems and derive numerical methods which will be thoroughly analysed. In addition, implicit descriptions of interfaces such as phase field and level set methods will be analysed. Finally, we will discuss numerical methods for complex interface evolutions and will focus on two phase flow problems as an important example of such evolutions.
Dynamics In Models Of Coarsening Coagulation Condensation And Quantization
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Author :
language : en
Publisher:
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Dynamics In Models Of Coarsening Coagulation Condensation And Quantization written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Layer Resolving Grids And Transformations For Singular Perturbation Problems
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Author : Vladimir D. Liseikin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-11-05
Layer Resolving Grids And Transformations For Singular Perturbation Problems written by Vladimir D. Liseikin and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-05 with Mathematics categories.
The approach of layer-damping coordinate transformations to treat singularly perturbed equations is a relatively new, and fast growing area in the field of applied mathematics. This monograph aims to present a clear, concise, and easily understandable description of the qualitative properties of solutions to singularly perturbed problems as well as of the essential elements, methods and codes of the technology adjusted to numerical solutions of equations with singularities by applying layer-damping coordinate transformations and corresponding layer-resolving grids. The first part of the book deals with an analytical study of estimates of the solutions and their derivatives in layers of singularities as well as suitable techniques for obtaining results. In the second part, a technique for building the coordinate transformations eliminating boundary and interior layers, is presented. Numerical algorithms based on the technique which is developed for generating layer-damping coordinate transformations and their corresponding layer-resolving meshes are presented in the final part of this volume. This book will be of value and interest to researchers in computational and applied mathematics.
An Introduction To Structured Population Dynamics
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Author : J. M. Cushing
language : en
Publisher: SIAM
Release Date : 1998-01-01
An Introduction To Structured Population Dynamics written by J. M. Cushing and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Science categories.
This monograph introduces the theory of structured population dynamics and its applications, focusing on the asymptotic dynamics of deterministic models.
Nonlinear Pde S In Condensed Matter And Reactive Flows
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Author : Henri Berestycki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Pde S In Condensed Matter And Reactive Flows written by Henri Berestycki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Nonlinear partial differential equations abound in modern physics. The problems arising in these fields lead to fascinating questions and, at the same time, progress in understanding the mathematical structures is of great importance to the models. Nevertheless, activity in one of the approaches is not always sufficiently in touch with developments in the other field. The book presents the joint efforts of mathematicians and physicists involved in modelling reactive flows, in particular superconductivity and superfluidity. Certain contributions are fundamental to an understanding of such cutting-edge research topics as rotating Bose-Einstein condensates, Kolmogorov-Zakharov solutions for weak turbulence equations, and the propagation of fronts in heterogeneous media.
Numerical Simulation In Physics And Engineering Trends And Applications
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Author : David Greiner
language : en
Publisher: Springer Nature
Release Date : 2021-04-01
Numerical Simulation In Physics And Engineering Trends And Applications written by David Greiner and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-01 with Mathematics categories.
This book results from the XVIII Spanish-French School 'Jacques Louis Lions' on Numerical Simulation in Physics and Engineering, that took place in Las Palmas de Gran Canaria from 25th to 29th June 2018. These conferences are held biennially since 1984 and sponsored by the Spanish Society of Applied Mathematics (SEMA). They also have the sponsorship of the Société de Mathématiques Appliquées et Industrielles (SMAI) of France since 2008. Each edition is organized around several main courses and talks delivered by renowned French/Spanish scientists. This volume is highly recommended to graduate students in Engineering or Science who want to focus on numerical simulation, either as a research topic or in the field of industrial applications. It can also benefit senior researchers and technicians working in industry who are interested in the use of state-of-the-art numerical techniques. Moreover, the book can be used as a textbook for master courses in Mathematics, Physics, or Engineering.