2017 | OriginalPaper | Buchkapitel
Asymptotic Behavior of Solutions to Thermoviscoelastic, Thermoviscoelastoplastic and Thermomagnetoelastic Equations
verfasst von : Yuming Qin
Erschienen in: Analytic Inequalities and Their Applications in PDEs
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In this chapter, we shall establish the asymptotic behavior for thermoviscoelastic, thermoviscoelastoplastic and thermomagnetoelastic equations. This chapter consists of three sections. In Section 9.1, we shall first employ Lemma 1.5.4 to extend the decay results in [620] for a viscoelastic system to those for the thermoviscoelastic system (9.1.1) and then establish the existence of the global attractor for the homogeneous thermoviscoelastic system (9.1.54).