EVOLUTIONARY PROBLEMS IN NON-REFLEXIVE SPACES

被引:3
|
作者
Kruzik, Martin [1 ]
Zimmer, Johannes [2 ]
机构
[1] Czech Tech Univ, Fac Civil Engn, Prague 16629 6, Czech Republic
[2] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
基金
英国工程与自然科学研究理事会;
关键词
Concentrations; energetic solution; energies with linear growth; oscillations; relaxation; OSCILLATIONS; BEHAVIOR; MODELS;
D O I
10.1051/cocv:2008060
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Rate-independent problems are considered, where the stored energy density is a function of the gradient. The stored energy density may not be quasiconvex and is assumed to grow linearly. Moreover, arbitrary behaviour at infinity is allowed. In particular, the stored energy density is not required to coincide at infinity with a positively 1-homogeneous function. The existence of a rate-independent process is shown in the so-called energetic formulation.
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页码:1 / 22
页数:22
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