We study the generation of surface waves on water as a bifurcation phenomenon. For a critical wind-speed there appear traveling wave solutions. While linear waves do not transport mass (in the mean), nonlinear effects create a shear-flow and result in a net mass transport in the direction of the wind. We derive an asymptotic formula for the average tangential velocity along the free surface. Nu...

The paper is devoted to the analysis of the systematic deviations between the classical formula for the rate of secular apsidal motion in close binaries and the formula established within the framework of the theory of dynamic tides. The basic behaviour is found to be governed by the dependency of the forcing frequencies on the orbital period and the rotational angular velocity, irrespective of...

In this paper we compare two different models that can be used to describe velocity profiles of a handwritten stroke. The theoretical analysis and performance comparison on the fitting data figures and the mean square error clearly reflects the superiority of the delta lognormal model over the minimum jerk model to describe the velocity profile characterizing rapid movements.

Droplet size is a fundamental parameter for Venturi scrubber performance. For many years, the correlations proposed by Nukiyama and Tanasawa (1938) and Boll et al. (1974) were used for calculating mean droplet size in Venturi scrubbers with limited operating parameters. This study proposes an alternative approach on the basis of artificial neural networks (ANNs) to determine the mean droplet si...

Differential semblance velocity analysis flattens image gathers automatically by minimizing the mean square difference of neighboring traces in an image volume. Implementations based on normal moveout correction as “imaging” method are relatively fast, can accomodate arbitrary acquisition geometry, and can be organized to output 1D, 2D, or 3D interval velocity models. Within the limits of its i...

We give a new proof of Brakke’s partial regularity theorem up to C for weak varifold solutions of mean curvature flow by utilizing parabolic monotonicity formula, parabolic Lipschitz approximation and blow-up technique. The new proof extends to a general flow whose velocity is the sum of the mean curvature and any given background flow field in a dimensionally sharp integrability class. It is a...