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Zeitschrift für Analysis und ihre Anwendungen

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Volume 14, Issue 3, 1995, pp. 509–522
DOI: 10.4171/ZAA/636

Published online: 1995-09-30

An Attractor for a 3D Navier-Stokes Type Equation

Filippo Gazzola[1]

(1) 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.

Keywords: Navier-Stokes equations, dynamical systems

Gazzola Filippo: An Attractor for a 3D Navier-Stokes Type Equation. Z. Anal. Anwend. 14 (1995), 509-522. doi: 10.4171/ZAA/636