Abstract. In this paper we discuss a pore scale model for crystal dissolution and precipitation in porous media. We consider first general domains, for which existence of weak solutions is proven. For the particular case of strips we show that free boundaries occur in the form of dissolution/precipitation fronts. As the ratio between the thickness and the length of the strip vanishes we obtain the upscaled reactive solute transport model proposed in [12].

Abstract:The purpose of this research was to identify the factors upon which museum sustainability depends and the way in which this can be measured. Methodologically, we applied a qualitative research approach, using semi-structured interviews with experts from the Romanian museum sector, complemented by an in-depth study of the literature in this field. Results indicated that any objective measuring of sustainability must take into account the size of a museum's collections and its organizational structure. It was also found that museum type can affect sustainability via its competitive advantage. However, the sustainability of a museum is not strictly determined by these factors, but also by the management and marketing strategies applied. Based on analysis of literature-and respondent-based factors influencing sustainability, this article proposes a set of 33 indicators that can be used by museums to measure their sustainability, as well as a model that enables evaluation of the sustainability levels of various museums comparatively, regardless of their type, size or importance (e.g., national, regional and local). The results obtained are useful both from a theoretical point of view, given that there are few writings on this topic, and from a practical point of view, as they provide a basis for a clear, objective model of museum sustainability measurement.

Cultural sustainability is increasingly being perceived as a fourth dimension of sustainable development. So far, some studies have debated the way in which cultural sustainability can lead to economic, social, and environmental benefits, while others have highlighted how the classic pillars of sustainability can help museums to achieve their core cultural mission. However, empirical studies regarding cultural sustainability in museums are scarce. Thus, one of the aims of our research was to fill this gap by developing several econometric models that explain the influence of heritage exposure; environmental behavior; openness to the public; and effectiveness and performance in collecting, preserving, and researching the cultural heritage. A second aim was to advance the current knowledge in this field by creating an integrated frame that explains the interconnections between different variables that help museums become sustainable, as well as the place and role of cultural sustainability within the overall framework of sustainable development. To achieve these goals, an in-depth analysis of the literature was followed by a survey of 86 Romanian museums. The results show that the ability of museums to reach cultural sustainability is influenced by components of their social and economic performance, while environmental behavior proved to be insignificant.

Cd 8SR of CdCuJl, and GdHnJl, and magnetic susceptibility of CdCnJl,, Gdnn$l,, and YHnJl, were reasured in the temperature range of 290K-460K and 90K-10501(, respectively. The occurrence of the Hn moment in YHnJl, and GdHn& is strongly correlated with the critical value of dz2.61 of the lin-nn distance below which the Nn moment is not stable. The experimental data for CdHnJl,, compared with the data for the isostrnctnral compounds CdCnJl, and YHnJ1, , show that near the critical value of d, the existence of Hn moment depends not only on the value of 8 , but also on the local magnetic surroundings. It has been revealed that the iagnetic character of Hn iorent in YPnJ1, and CdHnJl, changes fro1 an itinerant electron type to a local-moment type with increasing temperature.The intermetallic compounds GdCu,Al, and GdHn,Al, are isostructural with YHn,A1, and crystallize in the tetragonal ThHn,, structure type, The Hn atoms in YHnjtpil, and GdHnJ1, occupy mainly the positions 8f Ill with the Hn-Hn distance of d.2.5611. The earlier nagnetic measurements on YNn,Al, and GdHn,Al,, perforned in the teaperature range of 4.2K-300K, are sonewhat contradictory, On one sidelit bas been reported that Hn atons in both compounds do not have any ragnetic monent [ 2 ] and, on the other side, tbat they carry a aagnetic loment of 0.81g in YHn,Al, and 1.61g in GdHn,Al, [3], respec tivel y .

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