This paper examines the effect of current-induced breaking on the modeling of wave breaking dissipation near rip currents. Simulations using a set of existing wave transformation models are compared to existing laboratory measurements made on a bar/channel topography in the presence of both strong and weak rip currents. The model/data comparisons demonstrate that existing models can effectively...

Spiral waves occur in several natural phenomena, including reaction fronts in twodimension excitable media. In this thesis we attempt to characterize the motion of the spiral tip of a rigidly rotating wave and a linearly travelling wave in the context of a lattice perturbation. This system can be reduced to its center manifold, which allows us to describe the system as ordinary differential equ...

Our aim is the stabilization of time-periodic spatio-temporal synchronization patterns. Our primary examples are coupled networks of Stuart-Landau oscillators. We work in the spirit of Pyragas control by noninvasive delayed feedback. In addition we take advantage of symmetry aspects. For simplicity of presentation we first focus on a ring of coupled oscillators. We show how symmetry-breaking co...

Twoand three-dimensional numerical simulations are performed to study interfacial waves in a periodic domain by imposing a source term in the horizontal momentum equation. Removing the source term before breaking generates a stable interfacial wave. Continued forcing results in a two-dimensional shear instability for waves with thinner interfaces, and a convective instability for waves with thi...

Wave breaking is important for understanding of both sea wave dynamics and microwave scattering/emission of the ocean. Experimental studies of breaking waves are mostly related to tank measurements and to a lesser extent to field observations [1, 2]. Theoretical results regarding wave breaking are mostly obtained by numerical simulation [3]. Comparison of those with tank experiments leads to th...

The effect of an externally applied flow on symmetry degenerated waves propagating into opposite directions and standing waves that exchange stability with the traveling waves via mixed states is analyzed. Wave structures that consist of spiral vortices in the counter rotating Taylor-Couette system are investigated by full numerical simulations and explained quantitatively by amplitude equation...

A laboratory experiment was carried out to investigate the mixing on a sloping bed caused by a localised ray of internal waves breaking with super-critical frequencies. Previous work has shown that for near critical waves the turbulent boundary layer was confined to a thin region just above the bed. As a result, relatively small overturning turbulent lengthscales were observed. On the other han...

We present experimental observations of the hierarchy of rational breather solutions of the nonlinear Schrödinger equation (NLS) generated in a water wave tank. First, five breathers of the infinite hierarchy have been successfully generated, thus confirming the theoretical predictions of their existence. Breathers of orders higher than five appeared to be unstable relative to the wave-breaking...

The superfluid phases of 3He provide a unique physical system to study the dynamical effects of spontaneous symmetry breaking in condensed matter. The theory of superfluid 3He is grounded in what are arguably two of the most successful theories of strongly interacting matter, Landau’s Fermi-liquid theory and the BCS pairing theory of superconductivity. These two theories were placed into a comm...