Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
The algebraic decay rates for kinetic energy of weak solution of nonsteady Navier-Stokes equations are deduced, using the properties of fractional powers of Stokes operator, for space dimensions \(>4\). The main tool is the complex interpolation theory of Banach spaces, used to obtain Sobolev imbedding theorems for domains of fractional powers. A comparison is made with the previous results for exterior domains, obtained using other methods.
scientific article; zbMATH DE number 4190237
scientific article