Publications
In reverse chronological order, organised by topic with links to the arXiv.
Preprints
| Stability |
|---|
| R. Kollar, B. Deconinck and O. Trichtchenko. Direct characterization of spectral stability of small amplitude periodic waves in scalar Hamiltonian problems via dispersion relation. Submitted for publication. |
| O. Trichtchenko, B. Deconinck and R. Kollar. Stability of periodic travelling wave solutions to the Kawahara equation. Submitted for publication. |
Published
| Waves under ice |
|---|
| O. Trichtchenko, J.-M. Vanden-Broeck, P. Milewski and E. Parau. Stability of periodic travelling flexural-gravity waves in two dimensions. To appear in Studies in Applied Math. |
| O. Trichtchenko, E. Parau. J.-M. Vanden-Broeck and P. Milewski. Solitary flexural-gravity waves in three dimensions. To appear in Phil. Trans. A. |
| Stability |
|---|
| B. Deconinck and O. Trichtchenko. High-frequency instabilities of small-amplitude solutions of Hamiltonian partial differential equations. Discrete and Continuous Dynamical Systems A, 37, 1323–1358, (2016). |
| O. Trichtchenko, B. Deconinck and J. Wilkening. The instability of Wilton ripples. Wave Motion, 66, 147–155 (2016). |
| B. Deconinck and O. Trichtchenko. Stability of periodic gravity waves in the presence of surface tension. European Journal of Mechanics - B/Fluids, 46, 97–108 (2014). |