2020/09/16 by Alessandro Montagnani, Montagnani, Alessandro
Earth and Planetary Sciences · Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #math.PR
paper · pdf · doi:10.48550/arxiv.2009.07952
arxiv created 2020/09/16 · arxiv updated 2020/09/18
The aim of this work is to prove an existence result on the mixed shell model extending the classic standard existence results from ℓ2 initial conditions to μ-almost every initial conditions, where μ is a Gaussian measure on the infinite dimensional space of initial conditions. A similar result is also shown to hold for turbulence models where a dyadic tree structure replaces the linear one.