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On the existence and the asymptotic stability of solutions for linearly viscoelastic solids. (English) Zbl 0766.73013

Conditions that follow from the second law of thermodynamics are shown to guarantee the existence, uniqueness and asymptotic stability of solutions in the dynamical theory of linear viscoelastic solids. Additional assumptions which guarantee exponential decay of solutions are also given.

MSC:

74A15 Thermodynamics in solid mechanics
74Hxx Dynamical problems in solid mechanics
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