𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Similitude, similarity, and scaling

✍ Scribed by Robert Rosen


Book ID
104634329
Publisher
Springer
Year
1989
Tongue
English
Weight
691 KB
Volume
3
Category
Article
ISSN
0921-2973

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✦ Synopsis


An exceptionally rich and colorful literature, drawn in almost equal parts from pure mathematics, from the sciences, and from the technologies, has grown up over the years, which bear in different ways on the topics under discussion. It is the intent of the present paper to survey this far-flung literature, point out some of the commonalities and interrelationships which underlie it, and briefly indicate how it has been and can be applied. To my knowledge, this kind of review has not been attempted before.


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Branched microstructures: Scaling and as
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We address some properties of a scalar two-dimensional model that has been proposed to describe microstructure in martensitic phase transformations, consisting of minimizing the bulk energy where |u y | = 1 a.e. and u(0, β€’) = 0. Kohn and MΓΌller [R. V. Kohn and S. MΓΌller, Comm. Pure and Appl. Math.