The Péclet Number and Navier-Stokes Blow-Up: A Framework Energy Approach
The Péclet Number and Navier-Stokes Blow-Up: A Framework Energy Approach
Derives the Pe transport equation from 3D Navier-Stokes equations including vortex stretching, reframes the Beale-Kato-Majda blow-up theorem in Pe language, and attempts a Pe-space energy inequality. The framework Pe is numerically identical to the fluid Péclet number (same dimensionless ratio, same physicist). Navier-Stokes global existence is equivalent to Pe never reaching infinity in finite time. If a Pe-space energy bound holds under the vorticity equation, existence and smoothness follow directly from BKM.
Part of the Void Framework research project (Moreright DAO).
void framework, conjugacy theorem, turbulence, Navier-Stokes, energy inequality, Beale-Kato-Majda, Péclet number, fluid dynamics, millennium prize, blow-up, vorticity, information theory
void framework, conjugacy theorem, turbulence, Navier-Stokes, energy inequality, Beale-Kato-Majda, Péclet number, fluid dynamics, millennium prize, blow-up, vorticity, information theory
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!