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Rate-Independent Processes with Linear Growth Energies and Time-Dependent Boundary Conditions
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SYSNO ASEP 0365458 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Rate-Independent Processes with Linear Growth Energies and Time-Dependent Boundary Conditions Author(s) Kružík, Martin (UTIA-B) RID, ORCID
Zimmer, J. (GB)Number of authors 2 Source Title Discrete and Continuous Dynamical systems - Series S, Series S. - : AIMS Press - ISSN 1937-1632
Roč. 5, č. 3 (2012), s. 591-604Number of pages 14 s. Language eng - English Country US - United States Keywords concentrations ; oscillations ; time-dependent boundary conditions ; rate-independent evolution Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000208860500016 DOI 10.3934/dcdss.2012.5.591 Annotation A rate-independent evolution problem is considered for which the stored energy density depends on the gradient of the displacement. The stored energy density does not have to be quasiconvex and is assumed to exhibit linear growth at innity; no further assumptions are made on the behaviour at innity. We analyse an evolutionary process with positively 1-homogeneous dissipation and time-dependent Dirichlet boundary conditions. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2012
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