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Zeitschrift für Analysis und ihre Anwendungen


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Volume 16, Issue 2, 1997, pp. 435–449
DOI: 10.4171/ZAA/771

Published online: 1997-06-30

A Uniform Attractor for a Non-Autonomous Generalized Navier-Stokes Equation

Filippo Gazzola[1] and V. Pata[2]

(1) Università di Torino, Alessandria, Italy
(2) Politecnico di Milano, Italy

A global existence and uniqueness result of a weak solution for a generalized non-autonomous Navier-Stokes equation is given, independently of the dimension $n ≥ 2$ of the space. Furthermore, the family of processes associated to the equation is shown to-possess a weak uniform attractor with respect to a large class of non-autonomous forcing terms.

Keywords: Namer-Stokes equations, processes, attractors

Gazzola Filippo, Pata V.: A Uniform Attractor for a Non-Autonomous Generalized Navier-Stokes Equation. Z. Anal. Anwend. 16 (1997), 435-449. doi: 10.4171/ZAA/771