Vortices, kinematics and chaos

Abstract Chaotic fluid motion is explored from a Lagrangian point of view. A number of flow phenomena then arise, including in particular chaotic advection and sound radiation from non-integrable vortex motions. Examples are given and some theoretical classification is attempted. The role of vorticity and vortices in bringing about the chaos is continually highlighted. A modelling attempt of the turbulent-laminar interface is discussed from the vantage point of the ideas developed for simpler situations.

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