Tao Gao (t.gao@bath.ac.uk)

Department of Mathematical Sciences,

4 West 3.35, University of Bath.

CV

My research interest is on nonlinear waves. The problem is concerned with a two-dimensional irrotational flow of inviscid and incompressible fluid. The upper free boundary of the fluid, which is also called the free-surface, is deformed by a train of waves. The problem of gravity-capillary waves and flexural-gravity waves are both considered. Gravity and surface tension are present in the former case while surface tension is replaced by the pressure exerted by an elastic sheet in the latter case. Flexural-gravity waves have many applications in the presence of ice sheets in polar regions, e.g. road design, ice breaking and *etc*.

- Gao, T., & Vanden-Broeck, J. M. 2014 Numerical studies of two-dimensional hydroelastic periodic and generalised solitary waves.
*Physics of Fluids*(1994-present),**26**(8), 087101. http://dx.doi.org/10.1063/1.4893677. - Gao, T., Wang, Z. & Vanden-Broeck, J. M. 2016 New hydroelastic solitary waves in deep
water and their dynamics,
*Journal of Fluid Mechanics***788**:469–491. http://dx.doi.org/10.1017/jfm.2015.695. - Gao, T., Wang, Z. & Vanden-Broeck, J. M. 2017. Investigation of symmetry breaking in
periodic gravity-capillary waves,
*Journal of Fluid Mechanics***811**:622-641. http://dx.doi.org/10.1017/jfm.2016.751. - Gao, T., Wang, Z. & Vanden-Broeck, J. M. 2016. On asymmetric generalized solitary gravity–capillary waves in finite depth,
*Proceedings of the Royal Society A*Vol. 472, No. 2194, p. 20160454 http://dx.doi.org/10.1098/rspa.2016.0454 - Alexandru, V. A., Gao, T., Hu, J. & Kim, E.-S. 2016. Numerical Optimisation for Actuarial Applications,
*North American Actuarial Journal*(Accepted). Link. - Gao, T., Milewski, P. A., Papageorgiou, D. T. & Vanden-Broeck, J. M. 2017. Dynamics of fully nonlinear capillary-gravity solitary waves under normal electric fields, Journal of Engineering Mathematics, 1--16https://doi.org/10.1007/s10665-017-9912-z.
- Gao, T., Milewski, P. A., Papageorgiou, D. T., Vanden-Broeck, J.-M. 2017 Steady grey solitary waves on a conducting fluid under the effects of vertical electric fields (Preprint).Link.
- Gao, T. Wang, Z. & Vanden-Broeck, J.-M. 2018 Numerical computations of flexural-gravity waves on water of arbitrary depth, IMA J. Appl. Math. (Accepted). Link.
- Gao, T., 2016
*Nonlinear flexural-gravity free-surface flows and related gravity-capillary flows*(Doctoral dissertation, University College London) Link.

- 150th Anniversary Postdoctoral Mobility Grant by the London Mathematical Society, Tao Gao (PMG 16-17 17).
- Individual Grant (Dr A.V. Asimit, T. Gao, J. Hu) by the Society of Actuaries' Committee on Knowledge and Extension Research (CKER) and the Casualty Actuarial Society (CAS).
- The George Jessel Scholarship awarded by Department of Mathematics, University College London.
- The JJ Sylvester Scholarship, the Edwin Power Scholarship and the Corte Studentship awarded by Department of Mathematics, University College London.
- The Monica Hulse Scholarship awarded by Department of Mathematics, University College London.

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