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Is elasticity the proper asymptotic theory for materials with small viscosity and capillarity?

Published online by Cambridge University Press:  14 November 2011

Jose L. Boldrini
Jose L. Boldrini
Affiliation:
UNICAMP-IMECC CP 1170 13100-Campinas, SP, Brazil
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Synopsis

We consider the equations for the isothermal motion of a one-dimensional unbounded body composed of a material with viscosity and capillarity. Using a technique derived from the theory of compensated compactness, we find conditions which guarantee that, as viscosity and capillarity approach zero, the solutions to these equations converge to a solution to the corresponding equations in elasticity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 103 , Issue 1-2 , 1986 , pp. 99 - 127
Copyright
Copyright © Royal Society of Edinburgh 1986

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