Trace and extension operators for fractional Sobolev spaces with variable exponent

We show that, under certain regularity assumptions, there exists a linear extension operator

Wall-bounded turbulence with streamwise curvature

Mapping any given roughness geometry to its fluid dynamic behaviour has been hampered by the lack of accurate and direct measurements of skin-friction drag. Here the TC system provides an opportunity as it is a closed system and allows to directly and reliably measure the skin-friction. However, the wall-curvature potentially complicates the connection between the wall friction and the wall roughness characteristics. In this thesis we study the effects of curvature (first) and roughness (second) on TC turbulence. We apply the idea of a Monin–Obukhov curvature length to turbulent TC flow. This length separates the flow regions where the production of turbulent kinetic energy is governed by pure shear from that where it acts in combination with the curvature of the streamlines. We demonstrate that for all Reynolds numbers and radius ratios, the mean streamwise and angular velocity profiles collapse according to this separation. We then develop the functional form of the velocity profile.We finally investigate the effects of a hydrodynamically fully rough surface on highly turbulent, inner cylinder rotating, TC flow. We find that the effects of a hydrodynamically fully rough surface on TC turbulence, where the roughness height k is three orders of magnitude smaller than the Obukhov curvature length Lc, are similar to those effects of a fully rough surface on a flat plate turbulent boundary layer (BL). Hence, the value of the equivalent sand grain height ks, that characterizes the drag properties of a rough surface, is similar to those found for comparable sandpaper surfaces in a flat plate BL. Next, we obtain the dependence of the torque (skin-friction drag) on the Reynolds number for given wall roughness, and find agreement with the experimental results to within 7%

COVID and Opportunities for Information Systems Management Research

COVID currently heavily impacts our life, poses many restrictions to our way of working and possibly affected your health or that of your beloved ones. Many researchers will be hindered in their research contacts or experience increasing educational duties. However, new research opportunities also emerge. In this paper, we will explore new research opportunities for information management research, based on the characteristics of the COVID crisis

Undergraduate Nurse Educator Perceptions of Preparation to Teach Interprofessional Collaboration

If nurse educators do not teach students to function in interprofessional teams, students may lack communication and teamwork skills, which can result in patient harm; however, nurse educators do not always understand the concept of interprofessional collaboration (IPC) and may, therefore, fail to teach it to students. The purpose of this multiple case study was to understand how undergraduate nurse educators prepared to teach IPC and how their preparation informed their teaching. The theory of transformative learning and the Interprofessional Education Collaborative core competencies of IPC framed this study. Data included semistructured interviews and associated documents from 9 nurse educators representing 3 different schools of nursing. Transcribed interviews and associated documents were coded for emergent themes. The 5 key themes that emerged related to nurse educator preparation to teach IPC were academic IPC preparation was limited, lack of formal preparation and an incomplete understanding, interprofessional communication: positive perceptions and perceived barriers, previous IPC exposure influenced instruction, and educators taught IPC informally. The results of this study may influence positive social change by inspiring educational leaders to consider the possibility that nurse educators may need IPC-specific faculty development. Research suggests that when educators know how to teach IPC, they can prepare students to practice in interprofessional teams. Most importantly, when new nurses know how to work in interprofessional teams, this may result in a decrease in the incidence of unintentional patient injuries

Density properties for fractional Sobolev spaces with variable exponents

International audienceIn this article we show some density properties of smooth and compactly supported functions in fractional Sobolev spaces with variable exponents. The additional difficulty in this nonlocal setting is caused by the fact that the variable exponent Lebesgue spaces are not translation-invariant

On regularity of functions of Markov chains

We consider processes which are functions of finite-state Markov chains. It is well known that such processes are rarely Markov. However, such processes are often regular in the following sense: the distant past values of the process have diminishing influence on the distribution of the present value. In the present paper, we present novel sufficient conditions for regularity of functions of Markov chains

THEORY OF CAPACITIES IN FRACTIONAL SOBOLEV SPACES WITH VARIABLE EXPONENTS

In this paper we develop a capacities theory connected with the fractional Sobolev spaces with variable exponents. Two kinds of capacities are studied: Sobolev capacity and relative capacity. Basic properties of capacities, including monotonicity, outer capacity and several results, are studies. We prove that both capacities is a Choquet capacity and all borel sets are capacitable. Mathematics Subject Classification: Primary 31B15, 46E35