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Communications in Mathematical Physics

, Volume 203, Issue 2, pp 365–383 | Cite as

Global Existence of Smooth Solution to¶Non-Linear Thermoviscoelastic System with¶Clamped Boundary Conditions in Solid-like Materials

  • Boling Guo
  • Peicheng Zhu

Abstract:

In this paper, we prove the global existence and uniqueness of smooth solution to a system of one-dimensional non-linear thermoviscoelasticity which describes the thermomechanical processes in a class of solid-like materials, such as rubber, etc. The materials satisfy that both ends of the rod are fixed. This assumption was proposed by Dafermos in 1982 (see [6]). A new approach is developed to obtain the crucial estimate of the L -norm of the strain u.

Keywords

Boundary Condition Rubber Global Existence Smooth Solution Thermomechanical Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Boling Guo
    • 1
  • Peicheng Zhu
    • 1
  1. 1.Center for Nonlinear Studies and Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China.¶E-mail: js8s@mail.iapcm.ac.cn; pczhu@hotmail.comCN

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