On the analyticity of the abstract MGT-Fourier system

We consider the abstract MGT-Fourier system u ttt + α u tt + β A ϱ u t + γ A ϱ u = η A θ θ t + κ A θ = - η A u tt - η α A u t in the subcritical regime β > γ / α , where the operator A is strictly positive selfadjoint. For any fixed ϱ ∈ [ 1 , 2 ] , we show that the associated solution semigroup S...

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Veröffentlicht in:	Meccanica (Milan) 2023-06, Vol.58 (6), p.1053-1060
Hauptverfasser:	Dell’Oro, Filippo, Pata, Vittorino
Format:	Artikel
Sprache:	eng
Schlagworte:	Automotive Engineering Civil Engineering Classical Mechanics Engineering Mechanical Engineering
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description	We consider the abstract MGT-Fourier system u ttt + α u tt + β A ϱ u t + γ A ϱ u = η A θ θ t + κ A θ = - η A u tt - η α A u t in the subcritical regime β > γ / α , where the operator A is strictly positive selfadjoint. For any fixed ϱ ∈ [ 1 , 2 ] , we show that the associated solution semigroup S ( t ) is analytic and exponentially stable as well.
doi_str_mv	10.1007/s11012-022-01511-x
format	Article
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title	On the analyticity of the abstract MGT-Fourier system
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