Mathematical Theorems on Turbulence
Theodore D. Drivas
TL;DR
This paper highlights key mathematical theorems related to turbulent fluid motion, serving as constraints on the theoretical predictions of renowned 20th-century scientists in turbulence research.
Contribution
It emphasizes the importance of mathematical theorems over theories in understanding turbulence, providing constraints on existing scientific predictions.
Findings
Theorems impose fundamental limits on turbulence models
Constraints align with predictions of Onsager, Kolmogorov, and others
Focus on mathematical rigor in turbulence analysis
Abstract
In these notes, we emphasize Theorems rather than Theories concerning turbulent fluid motion. Such theorems can be viewed as constraints on the theoretical predictions and expectations of some of the greatest scientific minds of the 20th century: Lars Onsager, Andrey Kolmogorov, Lev Landau, Lewis Fry Richardson among others.
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Taxonomy
TopicsFluid dynamics and aerodynamics studies · Fluid Dynamics and Turbulent Flows · Particle Dynamics in Fluid Flows