Weighted Stepanov-like pseudo almost automorphic solutions to the non-autonomous Oseen–Navier–Stokes equations
Annales Polonici Mathematici
MSC: Primary 35B15; Secondary 35Q30, 35B35, 76D05
DOI: 10.4064/ap250306-25-11
Published online: 17 July 2026
Abstract
In this paper, the existence, uniqueness, and stability of (weighted) Stepanov-like pseudo almost automorphic solutions are investigated for the non-autonomous Oseen–Navier–Stokes equations (ONSE) in an exterior domain. Our method is based on the one hand on a combination of differential inequalities and interpolations functors for the case of linearized equations, and on the other hand on fixed-point arguments for semilinear equations.
