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STABILITY THEORY AND HAMILTONIAN DYNAMICS IN THE EULER IDEAL FLUID EQUATIONS

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

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]
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Abstract

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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