1,721,379 research outputs found
Sobolev norms explosion for the cubic NLS on irrational tori
Full text linkWe consider the cubic nonlinear Schrödinger equation on 2-dimensional irrational tori. We construct solutions which undergo growth of Sobolev norms. More concretely, for every s>0, s≠1 and almost every choice of spatial periods we construct solutions whose H^s Sobolev norms grow by any prescribed factor. Moreover, for a set of spatial periods with positive Hausdorff dimension we construct solutions whose Sobolev norms go from arbitrarily small to arbitrarily large. We also provide estimates for the time needed to undergo the norm explosion. Note that the irrationality of the space periods decouples the linear resonant interactions into products of 1-dimensional resonances, reducing considerably the complexity of the resonant dynamics usually used to construct transfer of energy solutions. However, one can provide these growth of Sobolev norms solutions by using quasi-resonances relying on Diophantine approximation properties of the space periods
Globe Based 3D GIS solutions for Virtual Heritage
Full text linkDuring the last years, many solutions have been proposed for 3D Virtual Heritage representations. Recently, also new technologies for online gaming evolved, based on javascript libraries (WebGL), used to create and publish virtual interactive environments. They are based on recent Web browser's functionalities, surpassing some limitations of VRML technologies. On the side of geospatial information, technology has evolved from desktop GIS to 2D WebGIS and globe applications. The use of globe applications is, today, very diffused due to its immediate and at the same time impressive representation of the earth surface and territories. These technologies have been, also, applied to Virtual Heritage 3D reconstructions, to improve the fruition of Cultural Heritage (CH), with the achievement of interesting results. The topic of this paper is the experimentation on the fusion between globe based and gaming technologies (in our case WebGL) that allow achieving a more user-centric and powerful solution useful for publishing 3D geospatial information of CH on Web. This choice allows obtaining GIS oriented 3D models, typical of globe applications, and, at the same time, a more immersive exploration of CH and its surrounding environment. In particular, it also gives complementary text and multimedia information on the history, architectural features of each cultural good, based on querying of semantic information. The test field of the research is the construction of the 3D GIS virtual globe model of the Manfredonic Castle of Mussomeli (Sicily-Italy), developed for PON-NEPTIS EU Project, to compare open-source technologies and commercial proprietary applications
Main features of a 3d gis for a monumental complex with an historical-cultural relevance
Full text linkThe last achievements of technologies in geomatics especially in survey and restitution of 3D models (UAV/drones andlaser scanner technologies) generated new procedures and higher standards of quality in representation of archaeological sites. Together with Geomatics, the recent development of Information and Communication Technologies (ICT) strongly contribute to document and the Cultural Heritage (CH). The representation and documentation of CH using these new technologies has became necessary in orderto satisfy different needs: -for restorers in order to acquire a deep knowledge of the cultural good and to define possible strategiesof restoration; -for the conservation of information, allowing to preserve the 3D geometry of the monumental complex with the integration of descriptions about architectural elements; -for touristic aims, giving the opportunity of sharing CH information on web, allowing users to visit and explore, in a virtual way,monumental complexes, acquiring information details about architectural elementsorthe history of monumental complex. Looking through these new scenarios, the development of a 3D Geographic Information System (GIS) applied to a cultural good could be,today,an added value of fundamental importance for full description and data managementof monumental complexes. In this work,the main features necessary for the correct construction of a 3D GIS of a monumental complex will be analyzed, with a particular focus on the possibilities for creating a standardized procedure to follow
Restoration of the feudal castle of Ventimiglia family in Castelbuono (PA)
No full textThis paper concerns the restoration of the castle of Ventimiglia family in Castelbuono; the initial part,
come from the medieval period (XIVth century), underwent considerable transformations in the XVth
century by Giovanni Ventimiglia, Count of Geraci. He transformed the old castle, which is primarily
defensive, in their own home and restored the chapel dedicated to S. Anna, then reconfigured in 1683.
Since the XIXth century the castle had a progressive deterioration and in 1920 it was purchased by
the Municipality of Castelbuono. The postwar years were characterized of a further deterioration of the
castle; it was remedied with partial actions since 1978. These interventions have been coordinated by
the State Department for environment and historical buildings and by the architect Rodolfo Santoro.
A significant intervention involved the consolidation of the foundations through the creation of micro
poles and execution of archaeological excavations. Then, using a research agreement with the
University of Palermo, the surveys, structural and geotechnical investigations were completed. In 1994
the opportunity of draw up a plan gave it a designation for exhibitions and conferences.
The works of monumental restoration, aimed mainly at the Palatium, concerned:
- The static restoration through the consolidation of the foundations, the walls, floors and roofs;
- The architectural restoration;
- The reuse of the complex with the outfitting of the interiors
Construction of a webgis tool based on a gis semiautomated processing for the localization of p2g plants in sicily (Italy)
Full text linkThe recent diffusion of RES (Renewable Energy Sources), considering the electric energy produced by photovoltaic and wind plants, brought to light the problem of the unpredictable nature of wind and solar energy. P2G (Power to Gas) implementation seems to be the right solution, trans-forming curtailed energy in hydrogen. The choice of the settlement of P2G plants is linked to many factors like the distances between the gas grid and the settlement of RES plants, the transportation networks, the energy production, and population distribution. In light of this, the implementation of a Multi-Criteria Analysis (MCA) into a Geographic Information System (GIS) processing represents a good strategy to achieve the goal in a specific territorial asset. In this work, this method has been applied to the case of study of Sicily (Italy). The paper shows in detail the geomatic semi-automated processing that allows to find the set of possible solutions and further to choose the best localization for new P2G plants, connected to a Relational Database Management System (RDBMS) and integrated with a WebGIS visualization for real-time analysis. This system is useful for the management, the development, and the study of hydrogen technologies, in order to link the electri-cal network and the gas network datasets with economical and infrastructural assets through GIS processing. In the future new factors will join in the process as policies on hydrogen take shape
A GIS-based optimization model finalized to the localization of new power-to-gas plants: The case study of Sicily (Italy)
No full textIn 2020 the European Commission approved the GND (Green New Deal), a strategic plan aimed at the decarbonization of the EU by 2050. In this scenario, the diffusion of alternative renewable energy sources (RESs) play a key role, particularly electric energy production from wind and photovoltaic power plants. Regardless, the nonprogrammable nature of these power sources led recent studies to focus the interest on the power-to-gas solution (PtG), consisting of the electrolytic transformation of excesses of unused electric energy into hydrogen. The complexity of this technology requires the development of strategic optimization models aimed at finding the best locations for new PtG plants in specific territorial scenarios. This paper presents the development of a GIS-based optimization model that combines an operational research approach with territorial services based on geographic information system (GIS) data. The study is located in Sicily (Italy), considering the large renewable energy penetration in the larger Mediterranean island. The developed model allows us to find the best location for new PtG installations in the considered area by combining GIS automated processing with cost function resolution. The results of this work could be useful in the years to come in light of the rapid spread of hydrogen energy production in Italy
Arnold diffusion in Hamiltonian systems on infinite lattices
Full text linkWe consider a system of infinitely many penduli on an m-dimensional lattice with a weak coupling. For any prescribed path in the lattice, for suitable couplings, we construct orbits for this Hamiltonian system of infinite degrees of freedom which transfer energy between nearby penduli along the path. We allow the weak coupling to be next-to-nearest neighbor or long range as long as it is strongly decaying. The transfer of energy is given by an Arnold diffusion mechanism which relies on the original V. I Arnold approach: to construct a sequence of hyperbolic invariant quasi-periodic tori with transverse heteroclinic orbits. We implement this approach in an infinite dimensional setting, both in the space of bounded Zm\mathbb {Z}<^>m-sequences and in spaces of decaying Zm\mathbb {Z}<^>m-sequences. Key steps in the proof are an invariant manifold theory for hyperbolic tori and a Lambda Lemma for infinite dimensional coupled map lattices with decaying interaction
3D Virtual CH Interactive Information Systems for a smart web browsing experience for desktop PCs and mobile devices
Full text linkRecently, the diffusion of knowledge on Cultural Heritage (CH) has become an element of primary importance for its valorization. At the same time, the diffusion of surveys based on UAV Unmanned Aerial Vehicles (UAV) technologies and new methods of photogrammetric reconstruction have opened new possibilities for 3D CH representation. Furthermore the recent development of faster and more stable internet connections leads people to increase the use of mobile devices. In the light of all this, the importance of the development of Virtual Reality (VR) environments applied to CH is strategic for the diffusion of knowledge in a smart solution. In particular, the present work shows how, starting from a basic survey and the further photogrammetric reconstruction of a cultural good, is possible to built a 3D CH interactive information system useful for desktop and mobile devices. For this experimentation the Arab-Norman church of the Trinity of Delia (in Castelvetrano-Sicily-Italy) has been adopted as case study. The survey operations have been carried out considering different rapid methods of acquisition (UAV camera, SLR camera and smartphone camera). The web platform to publish the 3D information has been built using HTML5 markup language and WebGL JavaScript libraries (Three.js libraries). This work presents the construction of a 3D navigation system for a web-browsing of a virtual CH environment, with the integration of first person controls and 3D popup links. This contribution adds a further step to enrich the possibilities of open-source technologies applied to the world of CH valorization on web
- …
