Mathematical Methods in the Applied Sciences

Volume 35, Issue 7 pp. 769-775

Research Article

On the asymptotic behavior of a linear viscoelastic fluid

Mauro Fabrizio,

Mauro Fabrizio

Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

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Barbara Lazzari,

Barbara Lazzari

Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

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Roberta Nibbi,

Corresponding Author

Roberta Nibbi

[email protected]

Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

Roberta Nibbi, Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna Italy.

E-mail: [email protected]

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Mauro Fabrizio,

Mauro Fabrizio

Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

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Barbara Lazzari,

Barbara Lazzari

Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

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Roberta Nibbi,

Corresponding Author

Roberta Nibbi

[email protected]

Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna, Italy

Roberta Nibbi, Department of Mathematics, University of Bologna, Piazza di Porta San Donato 5, 40126 Bologna Italy.

E-mail: [email protected]

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First published: 10 April 2012

https://doi.org/10.1002/mma.1602

Citations: 3

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Abstract

We study the asymptotic behavior of an incompressible viscoelastic fluid and prove that the temporal decay of the energy is similar to one of the memory kernel. The innovative aspect of this research lies in considering the evolutive problem with non-zero external sources and/or initial histories. Copyright © 2012 John Wiley & Sons, Ltd.

References

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Volume35, Issue7

15 May 2012

Pages 769-775

On the asymptotic behavior of a linear viscoelastic fluid

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On the asymptotic behavior of a linear viscoelastic fluid

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