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2009, Volume 8, Issue 3: 1093-1115. Doi: 10.3934/cpaa.2009.8.1093
This issue Previous Article Well-posedness and stability of classical solutions to the multidimensional full hydrodynamic model for semiconductors Next Article $L^2$-concentration phenomenon for Zakharov system below energy norm II

A quasilinear thermoviscoelastic system for shape memory alloys with temperature dependent specific heat

  • 1.

    Department of Business Administration, Ube National College of Technology, 2-14-1 Tokiwadai Ube, Yamaguchi, 755-8555

  • 2.

    System Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw

  • 3.

    Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-656 Warsaw

Received:  May 2008
Revised:  November 2008
Published:  May 2009
Abstract / Introduction Related Papers Cited by
    Abstract
  • This article extends the previous author's paper [28] on the existence of solutions to a quasilinear thermoviscoelasticity system arising in shape memory alloys. In the present setup we admit a modified energy equation with temperature growing specific heat. Due to such a modification we can solve the problem with stronger thermomechanical nonlinearity which was left open in [28].
    Mathematics Subject Classification: Primary: 74B20, 35K50; Secondary: 35Q72, 74F05.

    Citation:
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