Hostname: page-component-7bb8b95d7b-nptnm Total loading time: 0 Render date: 2024-09-28T20:40:09.043Z Has data issue: false hasContentIssue false
  • English
  • Français

STABILITY THEORY AND HAMILTONIAN DYNAMICS IN THE EULER IDEAL FLUID EQUATIONS

Part of: Hydrodynamic stability Infinite-dimensional Hamiltonian systems Incompressible inviscid fluids

Published online by Cambridge University Press:  28 September 2017

JOACHIM WORTHINGTON Open the ORCID record for JOACHIM WORTHINGTON [Opens in a new window]
JOACHIM WORTHINGTON*
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia email [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

ideal fluidsshear flowsstability theory

MSC classification

Primary: 76E05: Parallel shear flows
Secondary: 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction 76E09: Stability and instability of nonparallel flows 37K45: Stability problems
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 96 , Issue 3 , December 2017 , pp. 523 - 524
Copyright
© 2017 Australian Mathematical Publishing Association Inc. 

References

Dullin, H. R., Marangell, R. and Worthington, J., ‘Instability of equilibria for the two-dimensional Euler equations on the torus’, SIAM J. Appl. Math. 76(4) (2016), 1446–1470.CrossRefGoogle Scholar
Dullin, H. R. and Worthington, J., ‘Stability results for idealized shear flows on a rectangular periodic domain’, J. Math. Fluid Mech. (2017), doi:10.1007/s00021-017-0329-2.Google Scholar