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A variational characterization of rate‐independent evolution
Author(s) -
Stefanelli Ulisse
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200810803
Subject(s) - mathematics , characterization (materials science) , dissipation , regular polygon , scalar (mathematics) , pure mathematics , thermodynamics , physics , geometry , optics
Rate‐independent evolution driven by non‐convex potentials is by nature non‐smooth and some weak solvability notions have been recently advanced. This note is intended to contribute to this discussion by proposing a variational characterization of rate‐independent evolution based on a variational principle and a maximal dissipation criterion. The resulting novel solution notion is assessed in an elementary yet critical scalar case (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)