Tao Gao (email@example.com)Department of Mathematical Sciences,4 West 3.35, University of Bath.
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 Mechanics788:469–491. 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 Mechanics811:622-641. 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
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.