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Asymptotic Behavior of Solutions to Thermoviscoelastic, Thermoviscoelastoplastic and Thermomagnetoelastic Equations

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Analytic Inequalities and Their Applications in PDEs

Part of the book series: Operator Theory: Advances and Applications ((APDE,volume 241))

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Abstract

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).

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Qin, Y. (2017). Asymptotic Behavior of Solutions to Thermoviscoelastic, Thermoviscoelastoplastic and Thermomagnetoelastic Equations. In: Analytic Inequalities and Their Applications in PDEs. Operator Theory: Advances and Applications(), vol 241. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-00831-8_9

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