Navier-Stokes equations on the rotating sphere. A simple proof of the attractor dimension estimate

Nonlinearity ◽  
1994 ◽  
Vol 7 (1) ◽  
pp. 31-39 ◽  
Author(s):  
A A Ilyin
Keyword(s):  
Simple Proof ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Attractor Dimension ◽  
Navier Stokes Equations ◽  
Rotating Sphere ◽  
Dimension Estimate

A simple proof of existence of weak and statistical solutions of Navier–Stokes equations

1992 ◽  
Vol 436 (1896) ◽  
pp. 1-11 ◽  
Keyword(s):  
Weak Solution ◽  
Initial Data ◽  
Natural Number ◽  
Simple Proof ◽  
Stokes Equations ◽  
Galerkin Approximation ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Existence Proofs ◽  
Statistical Solutions

The Galerkin approximation to the Navier–Stokes equations in dimension N , where N is an infinite non-standard natural number, is shown to have standard part that is a weak solution. This construction is uniform with respect to non-standard representation of the initial data, and provides easy existence proofs for statistical solutions.

scholarly journals Length scales for the Navier–Stokes equations on a rotating sphere

2004 ◽  
Vol 324 (2-3) ◽  
pp. 179-184 ◽  
Author(s):  
Yuliya N. Kyrychko ◽  
Michele V. Bartuccelli
Keyword(s):  
Stokes Equations ◽  
Navier Stokes ◽  
Length Scales ◽  
Navier Stokes Equations ◽  
Rotating Sphere
Sign in / Sign up

Export Citation Format

Share Document