Determining Modes for Continuous Data Assimilation in 2 D Turbulence

@inproceedings{Olson2003DeterminingMF,
title={Determining Modes for Continuous Data Assimilation in 2 D Turbulence},
author={Eric Olson and Edriss S. Titi},
year={2003}
}

1 Department of Mathematics, University of California, Irvine, California 92697. 2 Department of Mathematics, University of Nevada, Reno, Nevada 89557; e-mail: ejolson @unr.edu 3 Mechanical and Aerospace Engineering, University of California, Irvine, California 92697. 4 Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel. Received August 28, 2002; accepted April 30, 2003

The connection between the Navier–Stokes equations, dynamical systems, and turbulence theory. Directions in partial differential equations (Madison, WI

C. Foias, R. Temam

Publ. Math. Res. Center Univ. Wisconsin, • 1985

View 5 Excerpts

Highly Influenced

Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors, Cambridge Texts in Applied Mathematics (Cambridge

Gevrey regularity and asymptotic degrees of freedom, Z

C. Cao, M. A. Rammaha, E. S. Titi, The Navier–Stokes equations on the rotating 2D sphere

Angew. Math. Phys. 50:341–360 • 1999

A numerical investigation of the interaction between the large and small scales of the two-dimensional incompressible Navier–Stokes equations, UCLA CAM