Global Existence of Smooth Solution to¶Non-Linear Thermoviscoelastic System with¶Clamped Boundary Conditions in Solid-like Materials
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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 ). A new approach is developed to obtain the crucial estimate of the L ∞-norm of the strain u.
KeywordsBoundary Condition Rubber Global Existence Smooth Solution Thermomechanical Process
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