Convex duality and entropy-based moment closures: Characterizing degenerate densities

@article{Hauck2008ConvexDA,
  title={Convex duality and entropy-based moment closures: Characterizing degenerate densities},
  author={Cory D. Hauck and C. David Levermore and Andr{\'e} L. Tits},
  journal={2008 47th IEEE Conference on Decision and Control},
  year={2008},
  pages={5092-5097}
}
A common method for constructing a function from a finite set of moments is to solve a constrained minimization problem. The idea is to find, among all functions with the given moments, that function which minimizes a physically motivated, strictly convex functional. In the kinetic theory of gases, this functional is the kinetic entropy; the given moments are macroscopic densities; and the solution to the constrained minimization problem is used to formally derive a closed system of partial… CONTINUE READING