Open AccessA Uniform Attractor for a Non-Autonomous Generalized Navier–Stokes Equation
Author(s) -
Filippo Gazzola,
Vittorino Pata
Publication year - 1997
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/771
Subject(s) - attractor , mathematics , mathematical analysis , physics
A global existence and uniqueness result of a weak solution for a generalized nonautonomous 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.
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