We formulate and study the model variational problem describing phase transitions in two-phase media. Based on this study, we obtain an information about properties of solutions to equilibrium a medium traditional statement.

We present a novel numerical model allowing to take the best part of continuum-based and discrete modelling in single framework. This is applied reproduction laboratory earthquakes high-pressure triaxial cell. It allows represent most relevant phenomena at stake, including elastic stress build-up during loading, fast slow sliding events, seismic waves emission surrounding medium evolution fault...

The objective of this paper is to show that the structure of the spatiotemporal continuum has important implications in practical stochastic hydrology (e.g., geostatistical analysis of hydrologic sites) and is not merely an abstract mathematical concept. We propose that the concept of physical geometry as a spatiotemporal continuum with properties that are empirically de®ned is important in hyd...