2016/06/07 by Ciprian Foias, Ciprian Foiaş, Ricardo M. S. Rosa +6
Engineering · Mathematics · #35Q30 #37A05 #37B20 #37L40 #76D06 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP #msc:35Q30 #msc:37A05 #msc:37B20 #msc:37L40 #msc:76D06
paper · pdf · doi:10.48550/arxiv.1606.02174
arxiv created 2016/06/07 · openalex publication_date 2016/06/07 · arxiv updated 2016/06/08 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
The stationary version of a modified definition of statistical solution for the three-dimensional incompressible Navier-Stokes equations introduced in a previous work is investigated. Particular types of such stationary statistical solutions and their analytical properties are addressed. Results on the support and carriers of these stationary statistical solutions are also given, showing in particular that they are supported on the weak global attractor and are carried by a more regular part of the weak global attractor containing Leray-Hopf weak solutions which are locally strong solutions. Two recurrence-type results related to these measures are also proved.