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The viscous damping prevents propagation of singularities in the system of viscoelasticity

Published online by Cambridge University Press:  14 November 2011

Piotr Rybka
Piotr Rybka
Affiliation:
Departamento de Matemàticas, Centro de Investigatión y de Estudios Avanzados del IPN, Apartado Postal 14-740, 07000 México, D.F., México
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Synopsis

We show that the linear viscous damping Δut, is so strong that it altogether prevents propagation of singularities of the gradient of solutions to the system of viscoelasticity. Moreover, no creation or annihilation of singularities is possible in finite time.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 5 , 1997 , pp. 1067 - 1074
Copyright
Copyright © Royal Society of Edinburgh 1997

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