2011/01/05 by Alan C. Newell, Benno Rumpf · 1 citation
Earth and Planetary Sciences · Mathematics · #Ocean Waves and Remote Sensing #Oceanographic and Atmospheric Processes #Tropical and Extratropical Cyclones Research #Turbulence #Closure (psychology) #Limit (mathematics) #Pace #Statistical physics #Range (aeronautics) #Physics #Moment (physics) #Theoretical physics #Computer science #Applied mathematics #Classical mechanics #Mechanics #Mathematics #Mathematical analysis #Law #Aerospace engineering #Political science #Astronomy
paper · doi:10.1146/annurev-fluid-122109-160807
openalex publication_date 2011/01/05 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/01
In this article, we state and review the premises on which a successful asymptotic closure of the moment equations of wave turbulence is based, describe how and why this closure obtains, and examine the nature of solutions of the kinetic equation. We discuss obstacles that limit the theory's validity and suggest how the theory might then be modified. We also compare the experimental evidence with the theory's predictions in a range of applications. Finally, and most importantly, we suggest open challenges and encourage the reader to apply and explore wave turbulence with confidence. The narrative is terse but, we hope, delivered at a speed more akin to the crisp pace of a Hemingway story than the wordjumblingtumbling rate of a Joycean novel.