Abstract
This report provides a rigorous transition from the physical formulation of the incompressible Navier-Stokes equations to their pure mathematical representation as defined by the Clay Mathematics Institute for the Millennium Prize Problems. We detail the physical meaning of each term in the classical equations and subsequently reformulate the problem strictly in the language of partial differential equations (PDEs) and operator theory, establishing the axiomatic constraints that govern the variables and parameters of the system.
Brussi 2026_Navier-Stokes Millennium Problem
Version uploaded to Zenodo: 
DOI – zenodo.21852870
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