The Quest for Turbulence Theory

Get back 84 years to Kolmogorov's breakthrough—and take the turn we all missed. Historical attempts to solve turbulence reached a dead end—primarily due to limitations of idealized scaling laws that eventually failed when confronted with real-world data.

Our Euler ensemble theory offers a new detour on this old road by deriving an exact analytic solution from first principles.

Old Road

A summary of historical attempts to solve turbulence and the roadblock caused by violations of scaling laws.

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Myths of Scaling Laws

An in-depth discussion of the mythical scaling laws and why they fail in practical turbulence.

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Loop equations and Area Law

A summary of recent progress with loop equations and Area law for velocity circulation.

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