On the Existence and Uniqueness of the Flow in a Torus

On the Existence and Uniqueness of the Flow in a Torus

In this paper a variational formulation for the steady flow of a viscous incompressible fluid in a torus is given. The existence of the flow for all Reynolds' numbers and all curvature ratios, and its uniqueness for low Reynolds' numbers, have been established.

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Veröffentlicht in:SIAM journal on applied mathematics 1991-02, Vol.51 (1), p.32-39
1. Verfasser: Boules, Adel N.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Boules
Curvature
Exact sciences and technology
Geometric centers
Geometric planes
Hilbert space
Hilbert spaces
Mathematical functions
Mathematical methods in physics
Navier Stokes equation
Physics
Ratios
Reynolds number
Steady flows
Uniqueness
Velocity
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Beschreibung
Zusammenfassung:In this paper a variational formulation for the steady flow of a viscous incompressible fluid in a torus is given. The existence of the flow for all Reynolds' numbers and all curvature ratios, and its uniqueness for low Reynolds' numbers, have been established.
ISSN:0036-1399
1095-712X
DOI:10.1137/0151003