Emergence of Coherent Localized Structures in Shear Deformations of Temperature Dependent Fluids

  title={Emergence of Coherent Localized Structures in Shear Deformations of Temperature Dependent Fluids},
  author={Theodoros Katsaounis and Julien Olivier and Athanasios E. Tzavaras},
  journal={Archive for Rational Mechanics and Analysis},
Shear localization occurs in various instances of material instability in solid mechanics and is typically associated with Hadamard-instability for an underlying model. While Hadamard instability indicates the catastrophic growth of oscillations around a mean state, it does not by itself explain the formation of coherent structures typically observed in localization. The latter is a nonlinear effect and its analysis is the main objective of this article. We consider a model that captures the… 

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