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- Emilian I. Parau, Jean-Marc Vanden-Broeck, Mark J. Cooker
- Mathematics and Computers in Simulation
- 2007

- Emilian I Părău, Jean-Marc Vanden-Broeck
- Philosophical transactions. Series A…
- 2011

Solutions of the nonlinear water wave equations under an ice sheet are computed using a boundary integral equation method. The ice sheet is modelled as a thin elastic plate and the fluid equations are nonlinear. Depending on the velocity of the moving disturbance generating the flow, different types of responses of the floating ice sheet are discussed.

- Jean-Marc Vanden-Broeck, Emilian I Părău
- Philosophical transactions. Series A…
- 2011

Two-dimensional gravity waves travelling under an ice sheet are studied. The flow is assumed to be potential. Weakly nonlinear solutions are derived and fully nonlinear solutions are calculated numerically. Periodic waves and generalized solitary waves are studied.

- Alexander Korobkin, Emilian I Părău, Jean-Marc Vanden-Broeck
- Philosophical transactions. Series A…
- 2011

Hydroelasticity brings together hydrodynamics and elastic theories. It is concerned with deformations of elastic bodies responding to hydrodynamic excitations, which themselves depend on elastic deformation. This Theme Issue is intended to identify and to outline mathematical problems of modern hydroelasticity and to review recent developments in this area,… (More)

- Frédéric Dias, Jean-Marc Vanden-Broeck
- Philosophical transactions. Series A…
- 2002

Nonlinear waves in a forced channel flow of two contiguous homogeneous fluids of different densities are considered. Each fluid layer is of finite depth. The forcing is due to an obstruction lying on the bottom. The study is restricted to steady flows. First a weakly nonlinear analysis is performed. At leading order the problem reduces to a forced… (More)

- Jean-Marc Vanden-Broeck, Touvia Miloh
- SIAM Journal of Applied Mathematics
- 1995

- Scott Grandison, Robert Penfold, Jean-Marc Vanden-Broeck
- J. Comput. Physics
- 2007

- Zhan Wang, Emilian I. Părău, Paul A. Milewski, Jean-Marc Vanden-Broeck
- Proceedings. Mathematical, physical, and…
- 2014

Steady solitary and generalized solitary waves of a two-fluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an ice-covered ocean. The fluid consists of two layers of constant densities, separated by an interface. The elastic sheet resists bending forces and is mathematically described by a… (More)

- Demetrios T Papageorgiou, Peter G Petropoulos, Jean-Marc Vanden-Broeck
- Physical review. E, Statistical, nonlinear, and…
- 2005

We study the formation and dynamics of interfacial waves on a perfect dielectric ideal fluid layer of finite depth, wetting a solid wall, when the region above the fluid is hydrodynamically passive but has constant permittivity, for example, air. The wall is held at a constant electric potential and a second electrode having a different potential is placed… (More)

- Qiming Wang, Demetrios T Papageorgiou, Jean-Marc Vanden-Broeck
- Physical review. E, Statistical, nonlinear, and…
- 2015

The propagation of axisymmetric waves on the surface of a liquid jet under the action of a radial electric field is considered. The jet is assumed to be inviscid and perfectly conducting, and a field is set up by placing the jet concentrically inside a perfectly cylindrical tube whose wall is maintained at a constant potential. A nontrivial interaction… (More)