Related Experiment Video
Updated: Jul 15, 2026

Optical Coherence Tomography Based Biomechanical Fluid-Structure Interaction Analysis of Coronary Atherosclerosis Progression
Published on: January 15, 2022
Optimal prediction and the rate of decay for solutions of the Euler equations in two and three dimensions
Ole H Hald1, Panagiotis Stinis
1Department of Mathematics, University of California and Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA. hald@math.berkeley.edu
Abstract:
The "t-model" for dimensional reduction 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. The model was first derived in a statistical mechanics context, but here we analyze it purely as a numerical tool and prove its convergence. In the Burgers case, the model captures the rate of decay exactly, as was previously shown. For the Euler equations in two space dimensions, the model preserves energy as it should. In three dimensions, we find a power law decay in time and observe a temporal intermittency.
Related Concept Videos
Euler's Equations of Motion
Euler Equations of Motion
Partial Differential Equations
Navier–Stokes Equations
Linear Differential Equations
Newton’s Method
