Chaotic motion in classical fluids with scale relativistic methods

DOI10.1063/1.3271040zbMath1372.81017arXiv0902.2739OpenAlexW2008971679MaRDI QIDQ3583744

Marie-Noëlle Célérier

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2739

zbMATH Keywords

Navier-Stokes equationschaosSchrödinger equationturbulencedifferential geometryfractals

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Self-similar stochastic processes (60G18) Stochastic mechanics (including stochastic electrodynamics) (81P20) Fundamentals of turbulence (76F02) Foundations of fluid mechanics (76A02)

Related Items (2)

Emergence of complex and spinor wave functions in scale relativity. I. Nature of scale variables ⋮ Emergence of complex and spinor wave functions in scale relativity. II. Lorentz invariance and bi-spinors

Cites Work

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• Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
• Two-fluid model of the truncated Euler equations
• Gravitational structure formation in scale relativity.
• The scale-relativity program
• The Pauli equation in scale relativity
• Quantum–classical transition in scale relativity
• Generalized quantum potentials
• Derivation of the postulates of quantum mechanics from the first principles of scale relativity
• Quaternion treatment of the relativistic wave equation
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I

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