A Unified View of Topological Invariants of Barotropic and Baroclinic Fluids and their Application to Formal Stability Analysis of Three-Dimensional Ideal Gas Flows-Reference-Cited by-同舟云学术

A Unified View of Topological Invariants of Barotropic and Baroclinic Fluids and their Application to Formal Stability Analysis of Three-Dimensional Ideal Gas Flows

Published:2013 Issue: Volume:7 Page:213-222
ISSN:2210-9838
Container-title:Procedia IUTAM
language:en
Short-container-title:Procedia IUTAM

Author:

Fukumoto Yasuhide,Sakuma Hirofumi

Publisher

Elsevier BV

Subject

General Medicine

Reference20 articles.

1. Abarbanel HDI, Holm DD, Marsden JE, Ratiu T. Richardson number criterion for the nonlinear stability of three-dimensional stratified flow. Phys. Rev. Lett. 1984;52:2352-2355.

2. Abarbanel HDI, Holm DD, Marsden JE, Ratiu T. Nonlinear stability analysis of stratified fluid equilibria. Phil. Trans. R. Soc. Lond. 1986;318:349-409.

3. Arnol’d VI. Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid. Dokl Akad. Nauk. SSSR. 1965;162:975-978. trans. in Soviet Math. 1965; 6:773-777.

4. Arnol’d VI. On an a priori estimate in the theory of hydrodynamical stability. Izv. Vyssh. Uchebn. Zaved. Matematika 1966;5:3-5. trans. in Am. Math. Soc. Trans. II 1969;79:267-269.

5. Cotter CJ, Holm DD. On Noether's theorem for the Euler-Poincare’ equation on the diffeomorphism group with advected quantities. preprint 2012.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Isomagnetovortical perturbations and wave energy of MHD flows;Reviews of Modern Plasma Physics;2023-01-11

2. A hierarchy of noncanonical Hamiltonian systems: circulation laws in an extended phase space;Fluid Dynamics Research;2014-05-28

3. Relativistic helicity and link in Minkowski space-time;Journal of Mathematical Physics;2014-04