Hydrodynamic turbulence and intermittent random fields

DOI10.1007/s00220-008-0642-yzbMath1157.60322arXiv0807.1042OpenAlexW3105521639MaRDI QIDQ1006309

Vincent Vargas, Raoul Robert

Publication date: 20 March 2009

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

Full work available at URL: https://arxiv.org/abs/0807.1042

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35) Other physical applications of random processes (60K40) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fundamentals of turbulence (76F02)

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Cites Work

• Continuous cascade models for asset returns
• An introduction to the theory of point processes
• Log-infinitely divisible multifractal processes
• Some specific features of atmospheric tubulence
• A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number
• Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
• Modelling financial time series using multifractal random walks
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