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Effective Theories for Ostwald Ripening

Barbara Niethammer

in Analysis and Stochastics of Growth Processes and Interface Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.003.0010
Subject:
Mathematics, Probability / Statistics, Analysis

This chapter discusses the derivation and analysis of reduced models for a coarsening process known as Ostwald ripening, which is a paradigm for statistical self-similarity in coarsening systems. The ... More


Principles of systematic upscaling

Achi Brandt

in Multiscale Methods: Bridging the Scales in Science and Engineering

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199233854
eISBN:
9780191715532
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233854.003.0007
Subject:
Mathematics, Applied Mathematics

Building on the complementary advantages of Renormalization Group (RG) and multigrid (MG) methods, Systematic Upscaling (SU) comprises rigorous procedures for deriving suitable variables and ... More


PRECIPITATION STRENGTHENING

A. S. Argon

in Strengthening Mechanisms in Crystal Plasticity

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198516002
eISBN:
9780191705717
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198516002.003.0006
Subject:
Physics, Crystallography

Discrete obstacles, particularly in the form of precipitates of second phases with coherent or incoherent interfaces, dispersed crystalline or glassy nano-scale particles, and aggregates of point ... More


Foams: Structure and Dynamics

Isabelle Cantat, Sylvie Cohen-Addad, Florence Elias, François Graner, Reinhard Höhler, Olivier Pitois, Florence Rouyer, and Arnaud Saint-Jalmes

Simon Cox (ed.)

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199662890
eISBN:
9780191763038
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199662890.001.0001
Subject:
Physics, Soft Matter / Biological Physics

Aqueous foams are studied both as materials with many applications, and as model systems for fields ranging from metallurgy to mathematics to biology. They are complex fluids with unique and unusual ... More


Implementation

Rüdiger Verfürth

in A Posteriori Error Estimation Techniques for Finite Element Methods

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199679423
eISBN:
9780191758485
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199679423.003.0002
Subject:
Mathematics, Applied Mathematics, Numerical Analysis

We show how to use a posteriori error indicators for devising self-adaptive discretizations. The main techniques are mesh-refinement, mesh-coarsening, and mesh-smoothing. We also present some sample ... More


Birth, life, and death

Isabelle Cantat

in Foams: Structure and Dynamics

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199662890
eISBN:
9780191763038
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199662890.003.0003
Subject:
Physics, Soft Matter / Biological Physics

We first introduce qualitatively the different mechanisms by which a foam forms, ages, rearranges, and then collapses, which collectively determine foam stability and lifetime. We explain why it is ... More


Asymptotic Fields and Asymptotic Couples

Matthias Aschenbrenner, Lou van den Dries, and Joris van der Hoeven

in Asymptotic Differential Algebra and Model Theory of Transseries

Published in print:
2017
Published Online:
October 2017
ISBN:
9780691175423
eISBN:
9781400885411
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175423.003.0010
Subject:
Mathematics, Computational Mathematics / Optimization

This chapter deals with asymptotic differential fields and their asymptotic couples. Asymptotic fields include Rosenlicht's differential-valued fields and share many of their basic properties. A key ... More


Wealth and Security Advantages of Partial Independence

David A. Rezvani

in Surpassing the Sovereign State: The Wealth, Self-Rule, and Security Advantages of Partially Independent Territories

Published in print:
2014
Published Online:
August 2014
ISBN:
9780199688494
eISBN:
9780191767739
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199688494.003.0008
Subject:
Political Science, Democratization

Chapter 8 makes the case that partial independence has significant economic and security advantages over full independence. In particular the chapter places special emphasis on comparisons between ... More


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