Logistic forecasting of GDP competitiveness

The GDP growth of national economies is modelled by the logistic function. Applying it on the GDP data of the World Bank till the year 2020, we forecast the outcome of the competitive GDP growth of Japan, Germany, UK and India, all of whose current GDPs are very close to one another. Fulfilling one of the predictions, in 2022 the GDP of India has indeed overtaken the GDP of UK. Our overall forecast is that by 2047, the GDP of India will be greater than that of the other three countries. We argue that when trade saturates, large and populous countries (like India) have the benefit of high domestic consumption to propel their GDP growth.Comment: 5 pages, 4 figures, ReVTeX double column forma

Logistic modelling of economic dynamics

We demonstrate the effectiveness of the logistic function to model the evolution of two economic systems. The first is the GDP and trade growth of the USA, and the second is the revenue and human resource growth of IBM. Our modelling is based on the World Bank data in the case of the USA, and on the company data in the case of IBM. The coupled dynamics of the two relevant variables in both systems - GDP and trade for the USA, and revenue and human resource for IBM - follows a power-law behaviour.Comment: 5 pages, 6 figures, ReVTeX double column format. arXiv admin note: substantial text overlap with arXiv:2109.0526

Hydraulic Jump in One-dimensional Flow

In the presence of viscosity the hydraulic jump in one dimension is seen to be a first-order transition. A scaling relation for the position of the jump has been determined by applying an averaging technique on the stationary hydrodynamic equations. This gives a linear height profile before the jump, as well as a clear dependence of the magnitude of the jump on the outer boundary condition. The importance of viscosity in the jump formation has been convincingly established, and its physical basis has been understood by a time-dependent analysis of the flow equations. In doing so, a very close correspondence has been revealed between a perturbation equation for the flow rate and the metric of an acoustic white hole. We finally provide experimental support for our heuristically developed theory.Comment: 17 Pages, 8 Figures, 1 Table. To appear in European Physical Journal