Prof, Mark Vishik


Thursday, February 5, 2004 - 4:00pm


MSTB 254

The lecture will cover the following topics:
1. Global attractor for an autonomous evolution equation. Examples. between the attractor and the family of complete solutions.
2. Fractal dimension of a global attractor. Examples.
3. Nonautonomous evolution equations and corresponding processes. Uniform global attractor of a process.
4. Global attractor of the nonautonomous 2D Navier Stokes system. Translation-compact forcing term. Relation between the uniform attractor and the family of complete solutions. Nonautonomous 2D Navier-Stokes system with a simple attractor.
5. Kolmogorov epsilon-entropy of the global attractor of a nonautonomous equation. Estimates of the epsilon-entropy. Examples.
6. Some open problems.