Γ‐convergence: a tool to investigate physical phenomena across scales | Zendy

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Γ‐convergence: a tool to investigate physical phenomena across scales

Author(s) -

Focardi Matteo

Publication year - 2012

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2551

Subject(s) - convergence (economics) , mathematics , symbolic convergence theory , convergence tests , compact convergence , normal convergence , modes of convergence (annotated index) , calculus (dental) , mathematical economics , pure mathematics , computer science , rate of convergence , economics , medicine , computer security , dentistry , key (lock) , economic growth , computer network , topological vector space , channel (broadcasting) , topological space , isolated point

De Giorgi's Γ‐convergence is a variational theory modelled upon the convergence of families of (perturbed) minimum problems and of the corresponding minimizers. In these notes, after reviewing briefly the basic theory and accounting for some recent new insights, we discuss three examples of static mechanical models, which can be analysed by means of Γ‐convergence arguments. Copyright © 2012 John Wiley & Sons, Ltd.

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