The application of the proposed criterion to various digital geophysical records has provided satisfactory results. The method is well suited to geophysical signals because they often have a remarkable Markovian character in the broader sense, i.e. the autocovariances have values decreasing roughly exponentially as the time lags increase. Computer simulations on mathematically defined time seri...

The large or small scale of a landslide is natural, widespread process, resulting from the downward and outward movement slope-forming materials, such as sculpting landscape. Characterized material properties’ inhomogeneities conditions become challenge process required availability wide range data, observations, measurements with an evaluation geological hydrological conditions. Detailed inves...

Global existence of weak and strong solutions to the quasi-hydrostatic primitive equations is studied in this paper. This model, that derives from the full non-hydrostatic model for geophysical fluid dynamics in the zero-limit of the aspect ratio, is more realistic than the classical hydrostatic model, since the traditional approximation that consists in neglecting a part of the Coriolis force ...

Statistical bounds controlling the total fluctuations in mean and variance about a basic steady 6 state solution are developed for the truncated barotropic flows over topography. Statistical ensemble predic7 tion is an important topic in weather and climate research. Here the evolution of an ensemble of trajectories 8 is considered in the statistical instability analysis and is compared and con...

Antarctica is the world's largest fresh-water reservoir, with the potential to raise sea levels by about 60 m. An ice sheet contributes to sea-level rise (SLR) when its rate of ice discharge and/or surface melting exceeds accumulation through snowfall. Constraining the contribution of the ice sheets to present-day SLR is vital both for coastal development and planning, and climate projections. ...