Navier–Stokes equation with hereditary viscosity and initial data in Besov–Morrey spaces
摘要
In this paper, we consider the problem of the existence and regularity of mild solutions to the Navier–Stokes equation with hereditary viscosity in the context of initial data in Besov–Morrey spaces. We employ the theory of resolvent families to prove our main results. We also study the stability of globally defined mild solutions.