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On the non-existence of semi-groups for some equations of continuum mechanics

Published online by Cambridge University Press:  14 November 2011

N. S. Wilkes
N. S. Wilkes
Affiliation:
Engineering Sciences Division, A.E.R.E. Harwell, Oxfordshire OX11 0RA
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Synopsis

Linear semi-group theory can be used to prove the existence of solutions to the equations of linear elasticity when the elasticity tensor is positive definite. Here, it is shown that this condition is also necessary for the existence of a semi-group. The method is also applied to linear dissipative equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 3-4 , 1980 , pp. 303 - 306
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

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