Smoothness with Respect to Viscosity of the Solutions of Navier–Stokes-Type Operator Equations

Resumo

An evolutionary Navier–Stokes-type equation is considered. Due to the presence of a bilinear operator term in it, it is possible to introduce a small parameter and expand the solution in it. The main objective of the paper is to find the conditions for the ordinary (not asymptotic) convergence of the series obtained in this case.