A topological argument shows the fluctuation-dissipation relation holds exactly for nonlinear Navier-Stokes, proving the GENERIC decomposition and producing a well-posed stochastic completion with physical cutoff.
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Physical completion of the Navier-Stokes equations
A topological argument shows the fluctuation-dissipation relation holds exactly for nonlinear Navier-Stokes, proving the GENERIC decomposition and producing a well-posed stochastic completion with physical cutoff.