Asymptotic structure for solutions of the Navier-Stokes equations (Q1884501)

The authors study the large time Hamiltonian structural stability and the Hamiltonian structural evolution of the Navier-Stokes equations. They show that for Navier-Stokes equations with forcing with decay in time, the large time structure of the solutions is characterized by the unique solution of a Stokes problem. The authors establish a connection between the notions of structural stability and Lyapunov stability. They obtain a characterization of the large time block structure of the solutions of the Navier-Stokes equations (notion introduced by the authors in previous papers) with forcing with decaying a Hamiltonian part and a harmonic part.