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Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization (Lecture Notes Series, Institute for Mathematical Sciences, N) (Lecture Note Series)


Book Informaton

Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization (Lecture Notes Series, Institute for Mathematical Sciences, N) (Lecture Note Series)

Author

Weizhu Bao, Jian-Guo Liu

Year of Publication

2007

Publisher

World Scientific

Pages

308

Language

en

ISBN

9812708502, 9789812708502, 9789812770226

ARI Id

1672362174172


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Showing 1 to 20 of 119 entries
Chapters/HeadingsAuthor(s)PagesInfo
12 First models of domain formation and an open problem
21 Domain walls in the Allen-Cahn equation
22 Domain wall dynamics by restricted gradient flow
23 Punctuated equilibrium and 1D bubble bath
24 Mean-field model of domain growth — The Gallay-Mielke transform
25 Proof of universal self-similar behavior
3 Models of domain coarsening in two and three dimensions
31 Diffuse and sharp-interface models of nanoscale island coarsening
32 Gradient structure for Mullins-Sekerka flow
33 Monopole models by restricted gradient flow of surface energy
34 Lifshitz-Slyozov-Wagner mean-field model
4 Rigorous power-law bounds on coarsening rates — The Kohn-Otto method
41 Basic inequalities
42 Bounds on coarsening rates for the LSW mean-field model
43 Bounds on coarsening rates for the monopole model
52 A ‘new’ framework for dynamic scaling analysis
53 Solution by Laplace transform
54 Scaling solutions and domains of attraction
55 The scaling attractor
56 Linearization of dynamics on the scaling attractor
Chapters/HeadingsAuthor(s)PagesInfo
Showing 1 to 20 of 119 entries