A Uniform Attractor for a Non-Autonomous Generalized Navier–Stokes Equation
Filippo Gazzola
Università di Torino, Alessandria, ItalyV. Pata
Politecnico di Milano, Italy
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Abstract
A global existence and uniqueness result of a weak solution for a generalized non-autonomous Navier–Stokes equation is given, independently of the dimension 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.
Cite this article
Filippo Gazzola, V. Pata, A Uniform Attractor for a Non-Autonomous Generalized Navier–Stokes Equation. Z. Anal. Anwend. 16 (1997), no. 2, pp. 435–449
DOI 10.4171/ZAA/771