Return to Colloquia & Seminar listing
Long memory Mori-Zwanzig models for the Euler equation
Applied Math| Speaker: | Panagiotis Stinis, Lawrence Berkeley Lab |
| Location: | 1147 MSB |
| Start time: | Fri, Nov 3 2006, 4:10PM |
A long memory model for dimensional reduction, known as the t-model, is derived through the Mori-Zwanzig formalism of irreversible statistical mechanics. The model is applied to the estimation of the rate of decay of solutions of the Burgers equation and of the Euler equations in two and three space dimensions. In the Burgers case the model captures the rate of decay exactly. For the Euler equations in two space dimensions, the model preserves energy as it should. In three dimensions the result are consistent with estimates that are generally believed but could not previously be computed. If time permits, we will discuss briefly a hierarchy of Mori-Zwanzig models in which the t-model is the first one.