Longtime behavior for 3D Navier-Stokes equations with constant delays Article

Bessaih, H, Garrido-Atienza, MJ. (2020). Longtime behavior for 3D Navier-Stokes equations with constant delays . COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 19(4), 1931-1948. 10.3934/cpaa.2020085

cited authors

  • Bessaih, H; Garrido-Atienza, MJ

authors

abstract

  • This paper investigates the longtime behavior of delayed 3D Navier-Stokes equations in terms of attractors. The study will strongly rely on the investigation of the linearized Navier-Stokes system, and the relationship between the discrete dynamical flow for the linearized system and the continuous flow associated to the original system. Assuming the viscosity to be sufficiently large, there exists a unique attractor for the delayed 3D Navier-Stokes equations. Moreover, the attractor reduces to a singleton set.

publication date

  • January 1, 2020

published in

Digital Object Identifier (DOI)

start page

  • 1931

end page

  • 1948

volume

  • 19

issue

  • 4