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Inertial Forms of Navier-Stokes Equations on the Sphere

✍ Scribed by R. Temam; S.H. Wang

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
686 KB
Volume
117
Category
Article
ISSN
0022-1236

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✦ Synopsis

The Navier-Stokes equations for incompressible flows past a two-dimensional sphere are considered in this article. The existence of an inertial form of the equations is established. Furthermore, for the first time for fluid equations, we derive an upper bound on the dimension of the differential system (inertial manifold) which fully reproduces the infinite-dimensional dynamics. This bound is expressed in terms of Grashof Numbers. 1993 Academic Press. Inc.

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