WIAS Preprint No. 1271, (2007)

Reverse approximation of energetic solutions to rate-independent processes



Authors

  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Rindler, Filip

2010 Mathematics Subject Classification

  • 49J40 49S05 65J15 74C05 74H15

Keywords

  • Rate-independent processes, energetic solutions, approximate incremental problems, Gamma convergence

Abstract

Energetic solutions to rate-independent processes are usually constructed via time-incremental minimization problems. In this work we show that all energetic solutions can be approximated by incremental problems if we allow approximate minimizers, where the error in minimization has to be of the order of the time step. Moreover, we study sequences of problems where the energy functionals have a Gamma limit.

Appeared in

  • NoDEA Nonlinear Differential Equations Appl., 16 (2009) pp. 17--40.

Download Documents