Slemrod, M. and Marsden, J. E. (1985) Temporal and Spatial Chaos in a van der Waals Fluid Due to Periodic Thermal Fluctuations. Advances in Applied Mathematics, 6 (2). pp. 135-158. ISSN 0196-8858 http://resolver.caltech.edu/CaltechAUTHORS:20100910-083753021
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The Mel'nikov technique is applied to prove the existence of deterministic chaos in two problems for a van der Waals fluid. The first problem shows that temporal chaos results as a result of small lime periodic fluctuations about a subcritical temperature when the fluid is initially quenched in the unstable spinoidal region. The second problem shows that spatial chaos arises from small spatially periodic flunctions in an infinite tube of fluid if the ambient pressure is appropriately chosen.
|Additional Information:||© 1985 Academic Press Inc. Available online 29 June 2004. This work was supported in part by grants from the Air Force Office of Scientific Research and the National Science Foundation. Research partially supported by DOE Contract DE-AT03-A2ERI2097. We thank John Ball, Bernard Coleman, Phil Holmes, George Sell, and Hans Weinberger for their interest in this work and constructive comments.|
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|Deposited By:||Ruth Sustaita|
|Deposited On:||10 Sep 2010 16:34|
|Last Modified:||26 Dec 2012 12:24|
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