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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
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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