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Abstract and Applied Analysis
Volume 2005, Issue 2, Pages 105-120
http://dx.doi.org/10.1155/AAA.2005.105

Asymptotic analysis for vanishing acceleration in a thermoviscoelastic system

1Dipartimento di Matematica, Università degli Studi di Pavia, via Ferrata 1, Pavia 27100, Italy
2Dipartimento di Matematica, Università degli Studi di Brescia, via Branze 38, Brescia 25123, Italy

Received 24 April 2004

Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [7 citations]

The following is the list of published articles that have cited the current article.

  • Elisabetta Rocca, and Riccarda Rossi, “Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials,” Applications of Mathematics, vol. 53, no. 5, pp. 485–520, 2008. View at Publisher · View at Google Scholar
  • Elisabetta Rocca, and Riccarda Rossi, “Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials,” Journal of Differential Equations, vol. 245, no. 11, pp. 3327–3375, 2008. View at Publisher · View at Google Scholar
  • Stanislaw Migórski, and Anna Ochal, “Quasi-Static Hemivariational Inequality via Vanishing Acceleration Approach,” SIAM Journal on Mathematical Analysis, vol. 41, no. 4, pp. 1415–1435, 2009. View at Publisher · View at Google Scholar
  • N.H. Kröger, M. Böhm, and M. Wolff, “Viscoelasticity within the framework of isothermal two-mechanism models,” Computational Materials Science, vol. 64, pp. 30–33, 2012. View at Publisher · View at Google Scholar
  • Nils Hendrik Kröger, Michael Wolff, and Michael Böhm, “On mathematical problems for viscoelastic multi-mechanism models in the isothermal case,” ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2015. View at Publisher · View at Google Scholar
  • Welington Vieira Assunção, and José Luiz Boldrini, “Analysis of a system related to a model for phase transitions in dissipative isochoric thermoviscoelastic materials,” Mathematical Methods in the Applied Sciences, 2016. View at Publisher · View at Google Scholar
  • Sören Boettcher, “Existence and uniqueness of a problem in thermo-elasto-plasticity with phase transitions in TRIP steels under mixed boundary conditions,” Journal of Applied Analysis, vol. 24, no. 1, pp. 87–98, 2018. View at Publisher · View at Google Scholar