Comparing BV solutions of rate independent processes

0428611 - MÚ 2015 RIV DE eng J - Journal Article
Krejčí, Pavel - Recupero, V.
Comparing BV solutions of rate independent processes.
Journal of Convex Analysis. Roč. 21, č. 1 (2014), s. 121-146. ISSN 0944-6532. E-ISSN 0944-6532
R&D Projects: GA ČR GAP201/10/2315
Institutional support: RVO:67985840
Keywords : variational inequalities * rate independence * convex sets
Subject RIV: BA - General Mathematics
Impact factor: 0.552, year: 2014
http://www.heldermann.de/JCA/JCA21/JCA211/jca21006.htm

Many nonequilibrium rate independent processes arising in elastoplasticity, ferromagnetism and phase transitions are described by an evolution variational inequality with a convex constraint in a Hilbert space. The resulting solution operator is called "play operator" and acts on absolutely continuous functions. For nonregular data two natural notions of BV solutions have been proposed by the authors, giving rise to different extensions of the play operator to BV. We prove that these extensions are equal if and only if the convex constraint is a non-obtuse polyhedron.
Permanent Link: http://hdl.handle.net/11104/0233935