Time scales in homogenization of periodic flows with vanishing molecular diffusion

DOI10.1006/jdeq.2001.4039zbMath1013.37045OpenAlexW1996033155MaRDI QIDQ1598385

Albert C. Fannjiang

Publication date: 22 May 2002

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.2001.4039

zbMATH Keywords

dissipationhomogenizationlimit theoremwhite noiseconservative systemsmartingale timesprobabilistic version

Mathematics Subject Classification ID

Diffusion (76R50) Diffusion processes (60J60) White noise theory (60H40) Ordinary differential equations and systems with randomness (34F05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Generation, random and stochastic difference and differential equations (37H10) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Anomalous diffusion in fast cellular flows at intermediate time scales ⋮ From ballistic to diffusive behavior in periodic potentials ⋮ A fractional kinetic process describing the intermediate time behaviour of cellular flows ⋮ Calculating effective diffusivities in the limit of vanishing molecular diffusion

Cites Work

• Convection-enhanced diffusion for random flows
• Noise induced dissipation in Lebesgue-measure preserving maps on \(d\)-dimensional torus
• On strong anomalous diffusion
• Chaotic streamlines in the ABC flows
• Fast dynamo action in a steady flow
• Effective diffusion in laminar convective flows
• Anomalous diffusion of tracer in convection rolls
• Convection Enhanced Diffusion for Periodic Flows
• Fractional Brownian motions and enhanced diffusion in a unidirectional wave-like turbulence
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