Abstract
We consider Stokes' first problem for a viscoelastic fluid. The memory of the fluid is truncated to a finite time interval and discontinuities in the stress relaxation modulus or its derivatives are allowed at the point of truncation. We investigate secondary waves which are generated by the interaction of these singularities in the memory with earlier waves.
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Renardy, M., Hrusa WJ, Nohel JA (1987) Mathematical Problems in Viscoelasticity. Longman Scientific and Technical, Essex, England
Slemrod M (1976) Arch Rat Mech Anal 62:303
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Dedicated to Prof. Hanswalter Giesekus on the occasion of his retirement as Editor of Rheologica Acta.
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Joseph, D.D., Renardy, M. Stokes' first problem for linear viscoelastic fluids with finite memory. Rheol Acta 28, 453–456 (1989). https://doi.org/10.1007/BF01332915
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DOI: https://doi.org/10.1007/BF01332915