Asymptotic behavior of the non-autonomous 3D Navier-Stokes problem with coercive force (Q639489)

Pullback attractors to the weak solutions of the \(3D\) Dirichlet problem for the incompressible Navier-Stokes system are constructed in the case when the external force may become unbounded as time goes to \(+\infty\) or \(-\infty\). In order to achieve this goal, the author includes a theoretical part (Section 3) which is devoted to pullback trajectory and global attractors associated with an abstract non-autonomous first-order differential equation in a Banch space.