Fractal dimensions of lines in chaotic advection

DOI10.1063/1.858162zbMath0751.58023OpenAlexW2061859424MaRDI QIDQ4001043

J. C. H. Fung, John Christos Vassilicos

Publication date: 26 September 1992

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/826561af6e0aed03e5dce9800641494199dc5ed3

zbMATH Keywords

Hausdorff dimensionfractal dimensionKolmogorov capacity2- dimensional turbulent flows

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20)

Related Items (6)

Quantification of mixing in aperiodic chaotic flows ⋮ The breakdown of Alfvén's theorem in ideal plasma flows: Necessary conditions and physical conjectures ⋮ Geometry of turbulent tangles of material lines ⋮ Percolation models of turbulent transport and scaling estimates ⋮ Chaotic mixing by internal inertia-gravity waves ⋮ The self-similar topology of passive interfaces advected by two-dimensional turbulent-like flows

Cites Work

• A two-dimensional mapping with a strange attractor
• Mixing, entrainment and fractal dimensions of surfaces in turbulent flows
• Stirring by chaotic advection

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