| bibtype |
J -
Journal Article
|
| ARLID |
0097225 |
| utime |
20240103185509.4 |
| mtime |
20080115235959.9 |
| title
(primary) (eng) |
Gamma-limits and relaxations for rate-independent evolutionary problems |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0252329 |
| ISSN |
0944-2669 |
| title
|
Calculus of Variations and Partial Differential Equations |
| volume_id |
3 |
| volume |
31 (2008) |
| page_num |
387-416 |
| publisher |
|
|
| title
(cze) |
Gamma limity a uvolnení pro rychlostně nezávislé vývojové úlohy |
| keyword |
Rate-independent problems |
| keyword |
energetic formulation |
| keyword |
Gamma convergence |
| keyword |
relaxation |
| keyword |
time-incremental minimization |
| author
(primary) |
| ARLID |
cav_un_auth*0015533 |
| name1 |
Mielke |
| name2 |
A. |
| country |
DE |
|
| author
|
| ARLID |
cav_un_auth*0101187 |
| name1 |
Roubíček |
| name2 |
Tomáš |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0236901 |
| name1 |
Stefannelli |
| name2 |
U. |
| country |
IT |
|
| cas_special |
| project |
| project_id |
LC06052 |
| agency |
GA MŠk |
| country |
CZ |
| ARLID |
cav_un_auth*0229224 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
This work uses the energetic formulation of rate-independent systems that is based on the stored-energy functionals $/calE$ and the dissipation distance $/calD$. For sequences $(/calE_k)_{k/in /N}$ and $(/calD_k)_{k/in /N}$ we address the question under which conditions the limits $q_/infty$ of solutions $q_k:[0,T]/to /calQ$ satisfy a suitable limit problem with limit functionals $/calE_/infty$ and $/calD_/infty$, which are the corresponding $/Gamma$-limits. We derive a sufficient condition, called /emph{conditional upper semi-continuity of the stable sets}, which is essential to guarantee that $q_/infty$ solves the limit problem. In particular, this condition holds if certain /emph{joint recovery sequences} exist. Moreover, we show that time-incremental minimization problems can be used to approximate the solutions. |
| abstract
(cze) |
V praci se vyšetřují Gamma ma limity a uvolnění pro rychlostně nezávislé vyvojové úlohy. |
| reportyear |
2008 |
| RIV |
BA |
| permalink |
http://hdl.handle.net/11104/0156413 |
| mrcbT16-f |
1.188 |
| mrcbT16-g |
0.216 |
| mrcbT16-h |
6 |
| mrcbT16-i |
0.00869 |
| mrcbT16-j |
1.21 |
| mrcbT16-k |
792 |
| mrcbT16-l |
74 |
| arlyear |
2008 |
| mrcbU63 |
cav_un_epca*0252329 Calculus of Variations and Partial Differential Equations 0944-2669 1432-0835 Roč. 3 č. 31 2008 387 416 Springer |
|