An invariant in shock clustering and Burgers turbulence
Exactly Solvable and Integrable Systems
2015-05-28 v2 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
1-D scalar conservation laws with convex flux and Markov initial data are now known to yield a completely integrable Hamiltonian system. In this article, we rederive the analogue of Loitsiansky's invariant in hydrodynamic turbulence from the perspective of integrable systems. Other relevant physical notions such as energy dissipation and spectrum are also discussed.
Keywords
Cite
@article{arxiv.1106.2879,
title = {An invariant in shock clustering and Burgers turbulence},
author = {Ravi Srinivasan},
journal= {arXiv preprint arXiv:1106.2879},
year = {2015}
}
Comments
11 pages, no figures; v2: corrections made