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math.AP2024
Extended Divergence-Measure Fields, the Gauss-Green Formula, and Cauchy Fluxes
Gui-Qiang G. Chen, Christopher Irving, Monica Torres
We establish the Gauss-Green formula for extended divergence-measure fields (i.e., vector-valued measures whose distributional divergences are Radon measures) over open sets. We pr…
physics.flu-dyn2024
A Principle of Maximum Entropy for the Navier-Stokes Equations
Gui-Qiang G. Chen, James Glimm, Hamid Said
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 d…