About: Gamma-limits and relaxations for rate-independent evolutionary problems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. 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. (en) Článek se zabývá Gamma limitami a uvolněním pro rychlostně nezávislé vývojové úlohy. (cs)
Title	Gamma-limits and relaxations for rate-independent evolutionary problems Gamma limity a uvolnění pro rychlostně nezávislé vývojové úlohy (cs) Gamma-limits and relaxations for rate-independent evolutionary problems (en)
skos:prefLabel	Gamma-limits and relaxations for rate-independent evolutionary problems Gamma limity a uvolnění pro rychlostně nezávislé vývojové úlohy (cs) Gamma-limits and relaxations for rate-independent evolutionary problems (en)
skos:notation	RIV/00216208:11320/08:00100641!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06052), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika	999
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Roubíček, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	368927
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/08:00100641
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Gamma-limits; relaxations; rate-independent; evolutionary; problems (en)
http://linked.open.../riv/klicoveSlovo	rate-independent relaxations evolutionary problems Gamma-limits
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[D0328373260E]
http://linked.open...i/riv/nazevZdroje	Calculus of Variations and Partial Differential Equations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	The Nečas Center for Mathematical Modeling
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	31
http://linked.open...iv/tvurceVysledku	Roubíček, Tomáš Mielke, Alexander Stefanelli, Ulisse
http://linked.open...ain/vavai/riv/wos	000251794000006
http://linked.open...n/vavai/riv/zamer	Metody moderní matematiky a jejich aplikace
issn	0944-2669
number of pages	30 (xsd:int)
http://localhost/t...ganizacniJednotka	11320

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