Non-Perturbative Hydrodynamic Limits
Fluid Dynamics
2015-06-17 v1 Statistical Mechanics
Abstract
We introduce non-perturbative analytical techniques for the derivation of the hydrodynamic manifolds from kinetic equations. The new approach is analogous to the Schwinger-Dyson equation of quantum field theories, and its derivation is demonstrated with the construction of the exact diffusion manifold for a model kinetic equation. The novel approach is superior to the classical Chapman-Enskog method.
Cite
@article{arxiv.1310.7124,
title = {Non-Perturbative Hydrodynamic Limits},
author = {I. V. Karlin and S. S. Chikatamarla and M. Kooshkbaghi},
journal= {arXiv preprint arXiv:1310.7124},
year = {2015}
}