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physics.flu-dyn2026
A Tensorial Extension of Fractional Dissipation at Inertial Scales
José I. H. López
We formulate a scale dependent tensorial extension of a fractional dissipation operator motivated by a macroscopic Navier Stokes correspondence. The starting point is a fractional…
physics.flu-dyn2026
Remarks on Fixed- and Variable-Order Fractional-Laplacian Closures for TurbulentDissipation
José I. H López
Two independent attempts, separated by two decades, to encode turbulent dissipation with a fractional Laplacian both converge on the operator order as the signature of the fully de…
physics.flu-dyn2026
Critical Reynolds Number as a Topological Phase Transition in Adaptive Fractional Hydrodynamics
Jose I. H. Lopez
We present a theoretical framework that models the laminar-turbulent transition as a topological change in the dissipative operator. The order s of the fractional Laplacian is prom…