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A Principle of Maximum Entropy for the Navier-Stokes Equations
- Publication Year :
- 2024
-
Abstract
- A principle of maximum entropy is proposed in the context of viscous incompressible flow in Eulerian coordinates. The relative entropy functional, defined over the space of $L^2$ divergence-free velocity fields, is maximized relative to alternate measures supported over the energy--enstrophy surface. Since thermodynamic equilibrium distributions are characterized by maximum entropy, connections are drawn with stationary statistical solutions of the incompressible Navier-Stokes equations. Special emphasis is on the correspondence with the final statistics described by Kolmogorov's theory of fully developed turbulence.<br />Comment: 12 Pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2402.14240
- Document Type :
- Working Paper