Gamma-limits and relaxations for rate-independent evolutionary problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F08%3A00100641" target="_blank" >RIV/00216208:11320/08:00100641 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Gamma-limits and relaxations for rate-independent evolutionary problems
Original language description
This work uses the energetic formulation of rate-independent systems that is based on the stored-energy functionals E and the dissipation distance D. For sequences (E_k) and (D_k) we address the question under which conditions the limits q of solutions q_k satisfy a suitable limit problem with limit functionals E and D, which are the corresponding Gamma-limits. We derive a sufficient condition, which is essential to guarantee that q solves the limit problem. In particular, this condition holds if certain joint recovery sequences exist. Moreover, we show that time-incremental minimization problems can be used to approximate the solutions. A first example involves the numerical approximation of functionals using finite-element spaces. A second example shows that the stop and the play operator convergece if the yield sets converge in the sense of Mosco. The third example deals with a problem developing microstructure in the limit.
Czech name
Gamma limity a uvolnění pro rychlostně nezávislé vývojové úlohy
Czech description
Článek se zabývá Gamma limitami a uvolněním pro rychlostně nezávislé vývojové úlohy.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LC06052" target="_blank" >LC06052: The Nečas Center for Mathematical Modeling</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Calculus of Variations and Partial Differential Equations
ISSN
0944-2669
e-ISSN
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Volume of the periodical
31
Issue of the periodical within the volume
999
Country of publishing house
US - UNITED STATES
Number of pages
30
Pages from-to
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UT code for WoS article
000251794000006
EID of the result in the Scopus database
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