Global Existence of Smooth Solution to¶Non-Linear Thermoviscoelastic System with¶Clamped Boundary Conditions in Solid-like Materials |
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| Authors: | Boling Guo Peicheng Zhu |
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| Affiliation: | 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.com, CN
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| 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 LX-norm of the strain u. |
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