On the existence of chaos for the viscous van Wijngaarden–Eringen equation

J. Alberto Conejero, Carlos Lizama and Marina Murillo-Arcila

Chaos, Solitons & Fractals, 2016, vol. 89, issue C, 100-104

Abstract: We study the viscous van Wijngaarden–Eringen equation: (1)∂2u∂t2−∂2u∂x2=(Red)−1∂3u∂t∂x2+a02∂4u∂t2∂x2which corresponds to the linearized version of the equation that models the acoustic planar propagation in bubbly liquids. We show the existence of an explicit range, solely in terms of the constants a0 and Red, in which we can ensure that this equation admits a uniformly continuous, Devaney chaotic and topologically mixing semigroup on Herzog’s type Banach spaces.

Keywords: C0-Semigroups; Bubble liquids; Devaney chaos; Hypercyclicity; van Wijngaarden–Eringen equation; Wave propagation (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:89:y:2016:i:c:p:100-104

DOI: 10.1016/j.chaos.2015.10.009

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