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Geometry of turbulent dissipation and the Navier–Stokes regularity problem

Geometry of turbulent dissipation and the Navier–Stokes regularity problem

Abstract The question of whether a singularity can form in an initially regular flow, described by the 3D incompressible Navier–Stokes (NS) equations, is a fundamental problem in mathematical physics. The NS regularity problem is super-critical, i.e., there is a ‘scaling gap’ between what can be established by mathematical analysis and …