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  • 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 %22play operator%22 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.
  • 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 %22play operator%22 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. (en)
Title
  • Comparing BV solutions of rate independent processes
  • Comparing BV solutions of rate independent processes (en)
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  • Comparing BV solutions of rate independent processes
  • Comparing BV solutions of rate independent processes (en)
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  • RIV/67985840:_____/14:00428611!RIV15-GA0-67985840
http://linked.open...avai/riv/aktivita
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  • I, P(GAP201/10/2315)
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  • 1
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  • 7975
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  • RIV/67985840:_____/14:00428611
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  • variational inequalities; rate independence; convex sets (en)
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  • DE - Spolková republika Německo
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  • [8CEE7BC9E491]
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  • Journal of Convex Analysis
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  • 21
http://linked.open...iv/tvurceVysledku
  • Krejčí, Pavel
  • Recupero, V.
http://linked.open...ain/vavai/riv/wos
  • 000337215600006
issn
  • 0944-6532
number of pages
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