This paper applies the Mel'nikov technique 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 time 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.
Institute for Mathematics and Its Applications>IMA Preprints Series
Slemrod, M.; Marsden, J.E..
Spatial Chaos in a Van der Waals Fluid Due to Periodic Thermal Fluctuations.
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