Published July 8, 1986
| public
Journal Article
Stability of Water Waves
- Creators
- MacKay, R. S.
- Saffman, P. G.
Abstract
We apply some general results for Hamiltonian systems, depending on the notion of signature of eigenvalues, to determine the circumstances under which collisions of imaginary eigenvalue for the linearized problem about a travelling water wave of permanent form are avoided or lead to loss of stability, up to non-degeneracy assumptions. A new superharmonic instability is predicted and verified.
Additional Information
© 1986 The Royal Society. Received 31 January 1986. We thank the London Mathematical Society and the Science and Engineering Research Council for sponsoring the 1984 Durham Bifurcation Theory Symposium, which stimulated this work. P. G. S. also thanks the Office of Naval Research (N00014-79-C-0412, NR062-639) for support, and R. S. M. the Nuffield Foundation for travel expenses to discuss this work. Last, but not least, thanks to Peta McAllister for typing the paper.Additional details
- Eprint ID
- 54196
- Resolver ID
- CaltechAUTHORS:20150128-142455198
- N00014-79-C-0412, NR062-639)
- Office of Naval Research (ONR)
- Nuffield Foundation
- Created
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2015-01-28Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field