An Attractor for a 3D Navier-Stokes Type Equation | Zendy

Filippo Gazzola | Zendy

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An Attractor for a 3D Navier-Stokes Type Equation

Author(s) -

Filippo Gazzola

Publication year - 1995

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/636

Subject(s) - attractor , uniqueness , mathematics , mathematical analysis , type (biology) , nonlinear system , stability (learning theory) , navier–stokes equations , evolution equation , physics , compressibility , mechanics , computer science , ecology , quantum mechanics , machine learning , biology

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.

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