Evolutionary problems in non-reflexive spaces

0313668 - ÚTIA 2009 RIV FR eng J - Journal Article
Kružík, Martin - Zimmer, J.
Evolutionary problems in non-reflexive spaces.
[Evolucni problemy v nereflexivnich prostorech.]
ESAIM-Control Optimisation and Calculus of Variations. Roč. 16, č. 1 (2010), s. 1-22. ISSN 1292-8119. E-ISSN 1262-3377
R&D Projects: GA AV ČR IAA1075402
Institutional research plan: CEZ:AV0Z10750506
Keywords : concentrations * energetic solution * energies with linear growth * oscillations * relaxation
Subject RIV: BA - General Mathematics
Impact factor: 1.221, year: 2010
http://library.utia.cas.cz/separaty/2008/MTR/kruzik-evolutionary problems in non-reflexive spaces.pdf

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.

Studujeme rychlostne-nezavisle evolucni ulohy s ulozenou energii jako funkci defoformacniho gradientu.Hustota ulozene energie ma linearni rust v nekonecnu. Dokazeme existenci energetickeho reseni pro tento typ uloh.
Permanent Link: http://hdl.handle.net/11104/0164413