On the vanishing viscosity limit of statistical solutions of the incompressible Navier-Stokes equations (Q6598453)

The problem of vanishing viscosity for the Navier-Stokes equations is studied for statistical solutions in the framework of correlation measures. This concept of solution appears equivalent to the Foiaș-Prodi sense. The passage to the limit of vanishing viscosity is done under suitable weak scaling assumption and leads to a statistical solution of the Euler system. A key tool is a compactness result for correlation measures.