The Onsager Conjecture: A Pedagogical Explanation

Authors

Olga Kosheleva, The University of Texas at El PasoFollow
Vladik Kreinovich, The University of Texas at El PasoFollow

Publication Date

4-2017

Comments

Technical Report: UTEP-CS-17-32

Abstract

In 1949, a Nobelist Lars Onsager considered liquid flows with velocities changing as r^α for spatial points at distance r, and conjectured that the threshold value α = 1/3 separates the two possible regimes: for α > 1/3 energy is always preserved, while for α < 1/3 energy is possibly not preserved. In this paper, we provide a simple pedagogical explanation for this conjecture.