@article{ShlapunovTarchanov2022, author = {Shlapunov, Alexander A. and Tarchanov, Nikolaj Nikolaevič}, title = {Inverse image of precompact sets and regular solutions to the Navier-Stokes equations}, series = {Vestnik Udmurtskogo Universiteta. Matematika, mechanika, kompʹjuternye nauki}, volume = {32}, journal = {Vestnik Udmurtskogo Universiteta. Matematika, mechanika, kompʹjuternye nauki}, number = {2}, publisher = {Udmurtskij gosudarstvennyj universitet}, address = {Iževsk}, issn = {1994-9197}, doi = {10.35634/vm220208}, pages = {278 -- 297}, year = {2022}, abstract = {We consider the initial value problem for the Navier-Stokes equations over R-3 x [0, T] with time T > 0 in the spatially periodic setting. We prove that it induces open injective mappings A(s): B-1(s) -> B-2(s-1) where B-1(s), B-2(s-1) are elements from scales of specially constructed function spaces of Bochner-Sobolev typeparametrized with the smoothness index s is an element of N. Finally, we prove that a map Asis surjective if and only if the inverse image A(s)(- 1) (K) of any pre compact set K from the range of the map Asis bounded in the Bochner space L-s([0, T], L-r(T-3))with the Ladyzhenskaya-Prodi-Serrin numbers s, r.}, language = {en} } @article{LachmairFischerGerjets2022, author = {Lachmair, Martin and Fischer, Martin H. and Gerjets, Peter}, title = {Action-control mappings of interfaces in virtual reality: a study of embodied interaction}, series = {Frontiers in virtual reality}, volume = {3}, journal = {Frontiers in virtual reality}, publisher = {Frontiers Media}, address = {Lausanne}, issn = {2673-4192}, doi = {10.3389/frvir.2022.976849}, pages = {11}, year = {2022}, abstract = {The development of interface technologies is driven by the goal of making interaction more positive through natural action-control mappings. In Virtual Reality (VR), the entire body is potentially involved for interaction, using such mappings with a maximum of degrees of freedom. The downside is the increase in interaction complexity, which can dramatically influence interface design. A cognitive perspective on detailed aspects of interaction patterns is lacking in common interface design guidelines, although it can be helpful to make this complexity controllable and, thus, make interaction behavior predictable. In the present study, the distinction between grounding, embodiment, and situatedness (the GES framework) is applied to organize aspects of interactions and to compare them with each other. In two experiments, zooming into or out of emotional pictures through changes of arm span was examined in VR. There are qualitatively different aspects during such an interaction: i) perceptual aspects caused by zooming are fundamental for human behavior (Grounding: closer objects appear bigger) and ii) aspects of gestures correspond to the physical characteristics of the agents (Embodiment: little distance of hands signals little or, in contrast, "creating more detail"). The GES-framework sets aspects of Grounding against aspects of Embodiment, thus allowing to predict human behavior regarding these qualitatively different aspects. For the zooming procedure, the study shows that Grounding can overrule Embodiment in interaction design. Thus, we propose GES as a cognitive framework that can help to inform interaction guidelines for user interface design in VR.}, language = {en} } @misc{HorvatWienerSchmelingetal.2022, author = {Horvat, Anja Kranjc and Wiener, Jeff and Schmeling, Sascha Marc and Borowski, Andreas}, title = {What does the curriculum say? Review of the particle physics content in 27 high-school physics curricula}, series = {Physics}, volume = {4}, journal = {Physics}, number = {4}, publisher = {MDPI}, address = {Basel}, issn = {2624-8174}, doi = {10.3390/physics4040082}, pages = {1278 -- 1298}, year = {2022}, abstract = {This international curricular review provides a structured overview of the particle physics content in 27 state, national, and international high-school physics curricula. The review was based on a coding manual that included 60 concepts that were identified as relevant for high-school particle physics education. Two types of curricula were reviewed, namely curricula with a dedicated particle physics chapter and curricula without a dedicated particle physics chapter. The results of the curricular review show that particle physics concepts are explicitly or implicitly present in all reviewed curricula. However, the number of particle physics concepts that are featured in a curriculum varies greatly across the reviewed curricula. We identified core particle physics concepts that can be found in most curricula. Here, elementary particles, fundamental interactions, and charges were identified as explicit particle physics concepts that are featured in more than half of the reviewed curricula either as content or context. Indeed, theoretical particle physics concepts are more prominent in high-school physics curricula than experimental particle physics concepts. Overall, this international curricular review provides the basis for future curricular development with respect to particle physics and suggests an increased inclusion of experimental particle physics concepts in high-school physics curricula.}, language = {en} } @article{LunaKorup2022, author = {Luna, Lisa and Korup, Oliver}, title = {Seasonal landslide activity lags annual precipitation pattern in the Pacific Northwest}, series = {Geophysical research letters}, volume = {49}, journal = {Geophysical research letters}, number = {18}, publisher = {Wiley}, address = {Hoboken, NJ}, issn = {0094-8276}, doi = {10.1029/2022GL098506}, pages = {11}, year = {2022}, abstract = {Seasonal variations in landslide activity remain understudied compared to recent advances in landslide early warning at hourly to daily timescales. Here, we learn the seasonal pattern of monthly landslide activity in the Pacific Northwest from five heterogeneous landslide inventories with differing spatial and temporal coverage and reporting protocols combined in a Bayesian multi-level model. We find that landslide activity is distinctly seasonal, with credible increases in landslide intensity, inter-annual variability, and probability marking the onset of the landslide season in November. Peaks in landslide probability in January and intensity in February lag the annual peak in mean monthly precipitation and landslide activity is more variable in winter than in summer, when landslides are rare. For a given monthly rainfall, landslide intensity at the season peak in February is up to 10 times higher than at the onset in November, underlining the importance of antecedent seasonal hillslope conditions.}, language = {en} }