Exponential stability in linear viscoelasticity
By Vittorino Pata. 2006
133 citations recorded by the source corpus.
We address the study of the asymptotic behavior of solutions to an abstract integrodifferential equation modeling linear viscoelasticity. Framing the equation in the past history setting, we analyze the exponential stability of the related semigroup S(t) with dependence on the convolution kernel, providing a more general sufficient condition than the usual one present in the literature.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/97a3d75d9f7735401ebb4c28acca1291205e83eb
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In Computational Theory and Mathematics
- Vittorino Pata
- To Fu Ma
- Luci Harue Fatori
- Marcelo Moreira Cavalcanti
- Claudio Giorgi
- Mauro Fabrizio
- Salim A. Messaoudi
- Aissa Guesmia
In Control and Systems Engineering
- Vittorino Pata
- To Fu Ma
- Luci Harue Fatori
- Marcelo Moreira Cavalcanti
- Claudio Giorgi
- Mauro Fabrizio
- Aissa Guesmia
- Salim A. Messaoudi
In Statistical and Nonlinear Physics
Citations in the corpus
- A New Approach to Equations with Memory (2009, background): “1), the result is still true under the more general hypotheses of [45] (but a much more complicated proof is needed).”
- Attractors for wave equations with degenerate memory (2016, background): “We could consider a more general class of memory kernels allowing finite number of jumps, as considered in [12,21,31].”