Published April 1990
| Published
Journal Article
Open
Changing Time History in Moving Boundary Problems
- Creators
- Cohen, Donald S.
- Erneux, Thomas
Abstract
A class of diffusion-stress equations modeling transport of solvent in glassy polymers is considered. The problem is formulated as a one-phase Stefan problem. It is shown that the moving front changes like √t initially but quickly behaves like t as t increases. The behavior is typical of stress-dominated transport. The quasi-steady state approximation is used to analyze the time history of the moving front. This analysis is motivated by the small time solution.
Additional Information
©1990 Society for Industrial and Applied Mathematics. Received by the editors June 12, 1989; accepted for publication (in revised form) July 25, 1989. This paper is dedicated to Edward L. Reiss on the occasion of his 60th birthday. [D.S.C.] was supported in part by the United States Army Research Office (Durham), Contract DAAL03-89-K-0014, National Science Foundation grant DMS-88706642, and Air Force Office of Scientific Research grant AFOSR-88-0269. [T.E.] was supported in part by National Science Foundation grant DMS-8701302 and United States Air Force Office of Scientific Research grant AFOSR 85-0150.Attached Files
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Additional details
- Eprint ID
- 12831
- Resolver ID
- CaltechAUTHORS:COHsiamjam90
- DAAL03-89-K-0014
- Army Research Office
- DMS-88706642
- National Science Foundation
- AFOSR-88-0269
- Air Force Office of Scientific Research
- DMS-8701302
- National Science Foundation
- AFOSR 85-0150
- Air Force Office of Scientific Research
- Created
-
2009-01-12Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field
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- GALCIT