Gevrey Class for Locally Three-Phase-Lag Thermoelastic Beam System

In this article we study the behavior of the solutions for the three-phase-lag heat equation with localized dissipation on an Euler–Bernoulli beam model. We show that semigroup S ( t ) associated with the problem is of Gevrey class 5 for t > 0 . If the coefficients satisfy τ α > k ∗ τ q , the...

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Veröffentlicht in:	Applied mathematics & optimization 2024-04, Vol.89 (2), p.51, Article 51
Hauptverfasser:	Rivera, Jaime Muñoz, Ochoa, Elena Ochoa, Quintanilla, Ramón
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Boundary conditions Calculus of Variations and Optimal Control Optimization Control Euler-Bernoulli beams Euler-Bernoulli equation Heat Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical and Computational Physics Optimization Phase lag Semigroups Simulation Systems Theory Theoretical Thermodynamics
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Zusammenfassung:	In this article we study the behavior of the solutions for the three-phase-lag heat equation with localized dissipation on an Euler–Bernoulli beam model. We show that semigroup S ( t ) associated with the problem is of Gevrey class 5 for t > 0 . If the coefficients satisfy τ α > k ∗ τ q , the solutions are always exponentially stable.
ISSN:	0095-4616 1432-0606
DOI:	10.1007/s00245-024-10125-6