An Attractor for a 3D Navier-Stokes Type Equation

  • Filippo Gazzola

    Università di Torino, Alessandria, Italy


For a modified Navier-Stokes equation existence and uniqueness results are known in the evolution 3D case: the equation considered is fully nonlinear. We investigate the main properties of the dynamical system defined by the equation: we establish the existence of an attractor, estimate the number of determining modes and prove the global stability of the stationary solution for a "small" external force.

Cite this article

Filippo Gazzola, An Attractor for a 3D Navier-Stokes Type Equation. Z. Anal. Anwend. 14 (1995), no. 3, pp. 509–522

DOI 10.4171/ZAA/636