<p>We study stability properties of a stationary solution to the three-dimensional globally modified Navier–Stokes equations with unbounded delays by using the direct approach and the Lyapunov function method. In a special case of unbounded variable delay, the proportional delay, we give a sufficient condition for the polynomial stability of the stationary solution.</p>

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Stability of 3D globally modified Navier–Stokes equations with unbounded delays

  • Tran Thi Quynh Chi,
  • Phan Thi Tuyet

摘要

We study stability properties of a stationary solution to the three-dimensional globally modified Navier–Stokes equations with unbounded delays by using the direct approach and the Lyapunov function method. In a special case of unbounded variable delay, the proportional delay, we give a sufficient condition for the polynomial stability of the stationary solution.