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February  2013, 6(1): i-ii. doi: 10.3934/dcdss.2013.6.1i

Preface: Rate-independent evolutions

Gianni Dal Maso 1, , Alexander Mielke 2, and  Ulisse Stefanelli 3,

1. 

SISSA, via Bonomea 265, 34136 Trieste, Italy
2. 

Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin
3. 

Istituto di Matematica Applicata e Tecnologie Informatiche – CNR, Via Ferrata 1, 27100 Pavia

Published  October 2012

The term rate-independent is usually referred to time-dependent processes which are invariant under time rescaling. In other words, the output of the process is independent of the rate at which the input assumes its values. This feature is common to many physical and engineering systems which do not possess, or possess a very small, internal relaxation time and hence react immediately to the change of external conditions.

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Citation: Gianni Dal Maso, Alexander Mielke, Ulisse Stefanelli. Preface: Rate-independent evolutions. Discrete & Continuous Dynamical Systems - S, 2013, 6 (1) : i-ii. doi: 10.3934/dcdss.2013.6.1i
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