2,169 research outputs found
A remark on the partial regularity of a suitable weak solution to the Navier-Stokes Cauchy problem
No full textStarting from the partial regularity results for suitable weak solutions to the Navier-Stokes Cauchy problem by Caffarelli, Kohn and Nirenberg, as a corollary, under suitable assumptions of local character on the initial data, we investigate the behavior in time of the L^1_{loc}-norm of the solution in a neighborhood of t= 0. The behavior is the same as for the resolvent operator associated to the Stokes operator
Navier–Stokes equations: an analysis of a possible gap to achieve the energy equality
No full textThe paper is concerned with the IBVP of the Navier–Stokes equations. The goal is to evaluate the possible gap between the energy equality and the energy inequality deduced for a weak solution. This kind of analysis is new and the result is a natural continuation and improvement of a result obtained by the same authors in Crispo et al. (Some new properties of a suitable weak solution to the Navier–Stokes equations. arXiv:1904.07641)
On the uniqueness of a suitable weak solution to the Navier–Stokes Cauchy problem
No full textThe paper is concerned with the Navier–Stokes Cauchy problem. We investigate on some
results of regularity and uniqueness related to suitable weak solutions corresponding to a
special set of initial data. The suitable weak solution notion is meant in the sense introduced
by Caffarelli–Kohn–Nirenberg.As further result we discuss the uniqueness of a set of suitable
weak solutions (wider than the previous one) enjoying a “Prodi–Serrin” condition which is
“relaxed” in space
HERStory Makers 2023: Francesca Fotheringham
No full textFrancesca Fotheringham is a postdoctoral research associate at the University of Edinburgh studying educational psychology with a focus on neurodiversity. She took part in HERStory Makers 2023.What is HERStory Makers?HERStory Makers is a social media competition for female-identifying early career researchers to share their research, their career journeys, and to inspire the next generation. Winners are selected by public vote. HERStory Makers is also part of EXPLORATHON, Scotland's contribution to European Researchers' Night.In 2022-23, EXPLORATHON Francescasupported by the Engineering & Physical Sciences Research Council [grant number EP/X020762/1].Author contributions to contentFrancesca conceived, planned, and recorded the video content. Kirsty Ross edited the video content to insert HERStory Maker credits, added subtitles, and reduce video length to below Twitter/X limit of 2 mins and 20 secs.</p
A DH-Leavened Musicological Toolbox
No full textGraduate-level training in music research methodologies tends to ignore digital humanities work and overlook the use of digital tools created in support of new forms of reading. Training instead focuses on source material in the student’s area of interest. This material includes secondary and primary (archival) resources, as well as information resources, such as: monuments of music and critical editions; indexes; bibliographies and thematic catalogs; dictionaries and encyclopedias; digital libraries of scores or editions; and databases of period-specific newspapers or journals. Graduate students taking research methods courses already have a toolbox built from their experiences as musicians and students of music, including the ability to read and interpret music notation, to understand theoretical and analytical concepts in music, as well as a command of music history, including the canon of musical works.
Digital humanities has become a major area of academic endeavor at the “interface of technological development, epistemological change and methodological concerns." An important characteristic of digital humanities research has been its interdisciplinarity. We argue that graduate training in musicology needs to include coverage of methodologies applied by digital humanists in support of new forms of reading, not only to broaden the canon of research topics in musicology, but also to build common ground with researchers of other disciplines. We propose that librarians are well positioned to provide this expertise and training
CCDC 943106: Experimental Crystal Structure Determination
No full textRelated Article: Francesca A. Stokes, Mark A. Vincent, Ian H. Hillier, Tanya K. Ronson, Alexander Steiner, Andrew E. H. Wheatley, Paul T. Wood, Dominic S. Wright|2013|Dalton Trans.|42|13923|doi:10.1039/C3DT51632
On the spatial asymptotic decay of a suitable weak solution to the Navier–Stokes Cauchy problem
No full textWe prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem, corresponding to a given asymptotic behavior of the initial data of the same order of decay. We use two main tools. The first is a result obtained in [7] for the behavior of the solution in a neighborhood of t = 0 in the  -norm, which enables us to furnish a representation formula for a suitable weak solution. The second is the asymptotic behavior of ∥u(t)∥L2(R3\BR) for R → ∞. Following Leray’s point of view, roughly speaking our result proves that a possible space–time turbulence does not perturb the asymptotic spatial behavior of the initial data of a suitable weak solution
CCDC 943108: Experimental Crystal Structure Determination
No full textRelated Article: Francesca A. Stokes, Mark A. Vincent, Ian H. Hillier, Tanya K. Ronson, Alexander Steiner, Andrew E. H. Wheatley, Paul T. Wood, Dominic S. Wright|2013|Dalton Trans.|42|13923|doi:10.1039/C3DT51632
CCDC 943107: Experimental Crystal Structure Determination
No full textRelated Article: Francesca A. Stokes, Mark A. Vincent, Ian H. Hillier, Tanya K. Ronson, Alexander Steiner, Andrew E. H. Wheatley, Paul T. Wood, Dominic S. Wright|2013|Dalton Trans.|42|13923|doi:10.1039/C3DT51632
A Twitter Case Study for Assessing Digital Sound
No full textAcademic and cultural heritage institutions around the world have made measurable strides in the development of digital sound archives oriented towards research and access, but their impact on scholarship and society has been little studied. Traditionally, impact has been measured by citations; yet these are problematic metrics for non-traditional outputs like sound recordings. Social media data provide a promising avenue of investigation for measuring scholarly as well as societal impact. Twitter in particular has been shown to provide a high number of references for cultural and research outputs in all disciplines. This study analyzes Twitter references pertaining to the collections of five digital sound archives: British Library Sounds, Europeana Sounds, the Internet Archive Audio Archive, PennSound and UbuWeb. Using text analysis methods to identify high frequency events and trends, and labeling them with a rubric designed for measuring the impact of digital heritage resources, this study provides preliminary insights on user values as they relate to digital sound collections. Despite the limitations of using social media data, the evidence gathered in this case study characterizes aspects of the use of digital sound collections, and may point to future priorities for the digital preservation of sound.Peer reviewe
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