The determination of geomorphology plays an important role in archaeological landscape research. Several landform types can be distinguished by characteristic geomorphic attributes that portray the surrounding landscape of a settlement and evaluate its geographical importance in terms of its ability to sustain a population. Various geoinformatic approaches are acknowledged, by using the freely available ASTER G-DEM, to provide valuable knowledge regarding the interfered processes shaping landscapes. The locations of archaeological settlements and the characterization of the dominant surrounding landscape geomorphometrics can reveal insights into the development of settlements and provide a better understanding of human behavior, with regard the landscape characteristics over time, such as the water management. In order to assess the best routes for water resources reaching the major settlements a multi-disciplinary approach within a Geographical Information Systems (GIS) environment is acknowledged by using integrated Multi-Criteria Decision Analysis (MCDA) and Least-Cost Path Analysis (LCPA). Such an approach proves to be a valuable tool for archaeologists to determine and evaluate the sustainability of the settlements and the water management planning in ancient periods.

Strongly coupled elliptic systems arise in the study of repulsive two-component Bose-Einstein condensates. In the strong competition (repulsion) limit, solutions that remain uniformly bounded are known to converge uniformly to a limiting profile whose components have disjoint supports wherein they satisfy limiting elliptic problems. Actually, their supports are separated by interfaces, across which the limiting profiles are merely Lipschitz continuous. In fact, the difference of these segregated components is a classical, sign-changing solution to a limiting scalar PDE. We will present the main known results and the state of the art, paying special emphasis on the blow-up limit problem near the interface and its linearization. We will then focus in the converse direction, that is whether solutions of the aforementioned limit scalar PDE problem can give rise to corresponding solutions of the coupled system for large values of the coupling parameter. Under natural linear nondegeneracy assumptions on a solution of the limit problem, we show that this is indeed the case in the radial setting. Our approach is perturbative, based on making rigorous formal matched asymptotics via a linearization procedure. Moreover, we provide fine estimates for the convergence to the corresponding solutions of the limit problems as the coupling parameter tends to infinity. This talk is based on a joint work with J-B. Casteras (Free University of Brussels).

Electrical Resistivity Tomography (ERT) is a widely used geophysical method for near ground surface investigation for geological, archaeological and geotechnical applications. The ERT initially was used with 2D data that were collected on straight survey lines. Later, multiple parallel lines were used for a pseudo-3D results in order to define more realistically the 3D resistivity distribution of the subsurface. Nowadays, due to the computer development and the software updates, a fully 3D data acquisition is possible. However, the exponentially increased amount of data, which in turn is increasing the acquisition time and the power of the computer processing renders its practical implementation quite difficult. Hence, the necessity of 3D data optimisation leads to studies for decreasing the amount of data without compromising the resolving capabilities of the inversion results. The optimisation technique is based on the sensitivity matrix (Jacobian) and the results are tested with synthetic and field data verification.