On the existence of chaos for the ViscousVanWjingaarden Equation

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URI: http://hdl.handle.net/10498/35472

DOI: 10.1016/J.CHAOS.2015.10.009

ISSN: 0960-0779

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Autor/es
Conejero, J.A.; Lizama, Carlos; Murillo Arcila, MarinaAutoridad UCA
Fecha
2016
Departamento/s
Matemáticas
Fuente
Chaos, Solitons and Fractals, 89 (2016),100–104
Resumen
We study the viscous van Wijngaarden–Eringen equation which 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 $a_0$ and $\rey_d$, in which we can ensure that this equation admits a uniformly continuous, Devaney chaotic and topologically mixing semigroup on Herzog's type Banach spaces.
Materias
C 0 -Semigroups; Bubble liquids; Devaney chaos; Hypercyclicity; van Wijngaarden–Eringen equation; Wave propagation
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