Lack of superstable trajectories in linear viscoelasticity: a numerical approach

Given a positive operator A on some Hilbert space, and a nonnegative decreasing summable function μ , we consider the abstract equation with memory u ¨ ( t ) + A u ( t ) - ∫ 0 t μ ( s ) A u ( t - s ) d s = 0 modeling the dynamics of linearly viscoelastic solids. The purpose of this work is to provid...

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Veröffentlicht in:	Numerische Mathematik 2023-04, Vol.153 (4), p.611-633
Hauptverfasser:	Antonietti, Paola F., Liverani, Lorenzo, Pata, Vittorino
Format:	Artikel
Sprache:	eng
Schlagworte:	Decay rate Differential equations Hilbert space Kernels Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Operators (mathematics) Simulation Theoretical Viscoelasticity
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