2010/03/07 by Massimo Tessarotto, M. Tessarotto, Tessarotto, M. +3
Decision Sciences · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1003.1474
arxiv created 2010/03/07 · openalex publication_date 2010/03/07 · arxiv updated 2010/03/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
An aspect of fluid dynamics lies in the search of possible statistical models for Navier-Stokes (NS) fluids described by classical solutions of the incompressible Navier-Stokes equations (INSE). This refers in particular to statistical models based on the so-called inverse kinetic theory (IKT) . This approach allows the description of fluid systems by means a suitable 1-point velocity probability density function (PDF) which determines, in terms of suitable "moments", the complete set of fluid fields which define the fluid state. A fundamental related issue lies in the problem of the unique construction of the initial PDF. The goal of this paper is to propose a solution holding for NS fluids. Our claim is that the initial PDF can be uniquely determined by imposing a suitable set of physical realizability constraints.