Integrability in Fluid Dynamics
高能物理 - 理论
2007-05-23 v2 可精确求解与可积系统
流体动力学
摘要
3+1-dimensional free inviscid fluid dynamics is shown to satisfy the criteria for exact integrability, i.e. having an infinite set of independent, conserved quantities in involution, with the Hamiltonian being one of them. With (density dependent) interaction present, distinct infinite serieses of conserved quantities in involution are discovered. Clebsch parametrization of the velocity field is used in the the latter analysis. Relativistic generalization of the free system is also shown to be integrable.
引用
@article{arxiv.hep-th/0106166,
title = {Integrability in Fluid Dynamics},
author = {Subir Ghosh},
journal= {arXiv preprint arXiv:hep-th/0106166},
year = {2007}
}
备注
The paper is rewritten with generalizations of previous results