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From discrete to continuum: A Young measure approach
被引：0
作者：
R. Paroni
机构：
[1] Università degli Studi di Udine,
[2] Dipartimento di Ingegneria Civile,undefined
[3] via delle Scienze 208,undefined
[4] 33100 Udine,undefined
[5] Italy,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik ZAMP
|
2003年
/
54卷
关键词：
Key words. Discrete systems, Young measures, $\Gamma$-convergence, phase transitions.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The passage from atomistic to continuum models is usually done via \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$\Gamma$\end{document}-convergence with respect to the weak topology of some Sobolev space; the obtained continuum energy, in a one dimensional model, is then convex. These kind of results are not optimal for problems related to materials which may undergo to phase transitions.
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页码：328 / 348
页数：20
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