TY - JOUR A1 - Makhmudov, K. O. A1 - Makhmudov, O. I. A1 - Tarkhanov, Nikolai Nikolaevich T1 - A nonstandard Cauchy problem for the heat equation JF - Mathematical Notes N2 - We consider the Cauchy problem for the heat equation in a cylinder C (T) = X x (0, T) over a domain X in R (n) , with data on a strip lying on the lateral surface. The strip is of the form S x (0, T), where S is an open subset of the boundary of X. The problem is ill-posed. Under natural restrictions on the configuration of S, we derive an explicit formula for solutions of this problem. Y1 - 2017 U6 - https://doi.org/10.1134/S0001434617070264 SN - 0001-4346 SN - 1573-8876 VL - 102 SP - 250 EP - 260 PB - Pleiades Publ. CY - New York ER - TY - JOUR A1 - Makhmudov, O. I. A1 - Tarchanov, Nikolaj Nikolaevič T1 - The first mixed problem for the nonstationary Lamé system JF - The Rocky Mountain journal of mathematics N2 - We find an adequate interpretation of the stationary Lam'{e} operator within the framework of elliptic complexes and study the first mixed problem for the nonstationary Lam'{e} system. KW - Lame system KW - evolution equation KW - first boundary value problem Y1 - 2018 U6 - https://doi.org/10.1216/RMJ-2017-47-8-2731 SN - 0035-7596 SN - 1945-3795 VL - 47 IS - 8 SP - 2731 EP - 2756 PB - Rocky Mountain Mathematics Consortium CY - Tempe ER - TY - JOUR A1 - Mera, Azal Jaafar Musa A1 - Tarchanov, Nikolaj Nikolaevič T1 - The Neumann Problem after Spencer JF - Žurnal Sibirskogo Federalʹnogo Universiteta = Journal of Siberian Federal University : Matematika i fizika = Mathematics & physics N2 - When trying to extend the Hodge theory for elliptic complexes on compact closed manifolds to the case of compact manifolds with boundary one is led to a boundary value problem for the Laplacian of the complex which is usually referred to as Neumann problem. We study the Neumann problem for a larger class of sequences of differential operators on a compact manifold with boundary. These are sequences of small curvature, i.e., bearing the property that the composition of any two neighbouring operators has order less than two. KW - elliptic complexes KW - manifolds with boundary KW - Hodge theory KW - Neumann problem Y1 - 2017 U6 - https://doi.org/10.17516/1997-1397-2017-10-4-474-493 SN - 1997-1397 SN - 2313-6022 VL - 10 SP - 474 EP - 493 PB - Sibirskij Federalʹnyj Universitet CY - Krasnojarsk ER - TY - JOUR A1 - Musunthia, Tiwadee A1 - Koppitz, Jörg T1 - Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set JF - Forum mathematicum N2 - In this paper, we study the maximal subsemigroups of several semigroups of order-preserving transformations on the natural numbers and the integers, respectively. We determine all maximal subsemigroups of the monoid of all order-preserving injections on the set of natural numbers as well as on the set of integers. Further, we give all maximal subsemigroups of the monoid of all bijections on the integers. For the monoid of all order-preserving transformations on the natural numbers, we classify also all its maximal subsemigroups, containing a particular set of transformations. KW - Transformation semigroups KW - maximal subsemigroups KW - order-preserving mappings Y1 - 2017 U6 - https://doi.org/10.1515/forum-2015-0093 SN - 0933-7741 SN - 1435-5337 VL - 29 SP - 971 EP - 984 PB - De Gruyter CY - Berlin ER - TY - JOUR A1 - Münch, Florentin T1 - Remarks on curvature dimension conditions on graphs JF - Calculus of variations and partial differential equations N2 - We show a connection between the CDE′ inequality introduced in Horn et al. (Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for nonnegative curvature graphs. arXiv:1411.5087v2, 2014) and the CDψ inequality established in Münch (Li–Yau inequality on finite graphs via non-linear curvature dimension conditions. arXiv:1412.3340v1, 2014). In particular, we introduce a CDφψ inequality as a slight generalization of CDψ which turns out to be equivalent to CDE′ with appropriate choices of φ and ψ. We use this to prove that the CDE′ inequality implies the classical CD inequality on graphs, and that the CDE′ inequality with curvature bound zero holds on Ricci-flat graphs. Y1 - 2017 U6 - https://doi.org/10.1007/s00526-016-1104-6 SN - 0944-2669 SN - 1432-0835 VL - 56 PB - Springer CY - Heidelberg ER - TY - JOUR A1 - Park, Jaeheung A1 - Lühr, Hermann A1 - Kervalishvili, Guram A1 - Rauberg, Jan A1 - Stolle, Claudia A1 - Kwak, Young-Sil A1 - Lee, Woo Kyoung T1 - Morphology of high-latitude plasma density perturbations as deduced from the total electron content measurements onboard the Swarm constellation JF - Journal of geophysical research : A, Space physics N2 - In this study, we investigate the climatology of high-latitude total electron content (TEC) variations as observed by the dual-frequency Global Navigation Satellite Systems (GNSS) receivers onboard the Swarm satellite constellation. The distribution of TEC perturbations as a function of geographic/magnetic coordinates and seasons reasonably agrees with that of the Challenging Minisatellite Payload observations published earlier. Categorizing the high-latitude TEC perturbations according to line-of-sight directions between Swarm and GNSS satellites, we can deduce their morphology with respect to the geomagnetic field lines. In the Northern Hemisphere, the perturbation shapes are mostly aligned with the L shell surface, and this anisotropy is strongest in the nightside auroral (substorm) and subauroral regions and weakest in the central polar cap. The results are consistent with the well-known two-cell plasma convection pattern of the high-latitude ionosphere, which is approximately aligned with L shells at auroral regions and crossing different L shells for a significant part of the polar cap. In the Southern Hemisphere, the perturbation structures exhibit noticeable misalignment to the local L shells. Here the direction toward the Sun has an additional influence on the plasma structure, which we attribute to photoionization effects. The larger offset between geographic and geomagnetic poles in the south than in the north is responsible for the hemispheric difference. Y1 - 2017 U6 - https://doi.org/10.1002/2016JA023086 SN - 2169-9380 SN - 2169-9402 VL - 122 IS - 1 SP - 1338 EP - 1359 PB - American Geophysical Union CY - Washington ER - TY - JOUR A1 - Pathiraja, Sahani Darschika A1 - Anghileri, Daniela A1 - Burlando, P. A1 - Sharma, A. A1 - Marshall, L. A1 - Moradkhani, H. T1 - Insights on the impact of systematic model errors on data assimilation performance in changing catchments JF - Advances in water resources N2 - The global prevalence of rapid and extensive land use change necessitates hydrologic modelling methodologies capable of handling non-stationarity. This is particularly true in the context of Hydrologic Forecasting using Data Assimilation. Data Assimilation has been shown to dramatically improve forecast skill in hydrologic and meteorological applications, although such improvements are conditional on using bias-free observations and model simulations. A hydrologic model calibrated to a particular set of land cover conditions has the potential to produce biased simulations when the catchment is disturbed. This paper sheds new light on the impacts of bias or systematic errors in hydrologic data assimilation, in the context of forecasting in catchments with changing land surface conditions and a model calibrated to pre-change conditions. We posit that in such cases, the impact of systematic model errors on assimilation or forecast quality is dependent on the inherent prediction uncertainty that persists even in pre-change conditions. Through experiments on a range of catchments, we develop a conceptual relationship between total prediction uncertainty and the impacts of land cover changes on the hydrologic regime to demonstrate how forecast quality is affected when using state estimation Data Assimilation with no modifications to account for land cover changes. This work shows that systematic model errors as a result of changing or changed catchment conditions do not always necessitate adjustments to the modelling or assimilation methodology, for instance through re-calibration of the hydrologic model, time varying model parameters or revised offline/online bias estimation. Y1 - 2017 U6 - https://doi.org/10.1016/j.advwatres.2017.12.006 SN - 0309-1708 SN - 1872-9657 VL - 113 SP - 202 EP - 222 PB - Elsevier CY - Oxford ER - TY - JOUR A1 - Shaki, Samuel A1 - Pinhas, Michal A1 - Fischer, Martin H. T1 - Heuristics and biases in mental arithmetic BT - revisiting and reversing operational momentum JF - Thinking & Reasoning N2 - Mental arithmetic is characterised by a tendency to overestimate addition and to underestimate subtraction results: the operational momentum (OM) effect. Here, motivated by contentious explanations of this effect, we developed and tested an arithmetic heuristics and biases model that predicts reverse OM due to cognitive anchoring effects. Participants produced bi-directional lines with lengths corresponding to the results of arithmetic problems. In two experiments, we found regular OM with zero problems (e.g., 3+0, 3-0) but reverse OM with non-zero problems (e.g., 2+1, 4-1). In a third experiment, we tested the prediction of our model. Our results suggest the presence of at least three competing biases in mental arithmetic: a more-or-less heuristic, a sign-space association and an anchoring bias. We conclude that mental arithmetic exhibits shortcuts for decision-making similar to traditional domains of reasoning and problem-solving. KW - Heuristics KW - mental arithmetic KW - mental number line KW - operational momentum KW - problem-solving Y1 - 2017 U6 - https://doi.org/10.1080/13546783.2017.1348987 SN - 1354-6783 SN - 1464-0708 VL - 24 IS - 2 SP - 138 EP - 156 PB - Routledge, Taylor & Francis Group CY - Abingdon ER - TY - JOUR A1 - Siska, Veronika A1 - Jones, Eppie Ruth A1 - Jeon, Sungwon A1 - Bhak, Youngjune A1 - Kim, Hak-Min A1 - Cho, Yun Sung A1 - Kim, Hyunho A1 - Lee, Kyusang A1 - Veselovskaya, Elizaveta A1 - Balueva, Tatiana A1 - Gallego-Llorente, Marcos A1 - Hofreiter, Michael A1 - Bradley, Daniel G. A1 - Eriksson, Anders A1 - Pinhasi, Ron A1 - Bhak, Jong A1 - Manica, Andrea T1 - Genome-wide data from two early Neolithic East Asian individuals dating to 7700 years ago JF - Science Advances N2 - Ancient genomes have revolutionized our understanding of Holocene prehistory and, particularly, the Neolithic transition in western Eurasia. In contrast, East Asia has so far received little attention, despite representing a core region at which the Neolithic transition took place independently ~3 millennia after its onset in the Near East. We report genome-wide data from two hunter-gatherers from Devil’s Gate, an early Neolithic cave site (dated to ~7.7 thousand years ago) located in East Asia, on the border between Russia and Korea. Both of these individuals are genetically most similar to geographically close modern populations from the Amur Basin, all speaking Tungusic languages, and, in particular, to the Ulchi. The similarity to nearby modern populations and the low levels of additional genetic material in the Ulchi imply a high level of genetic continuity in this region during the Holocene, a pattern that markedly contrasts with that reported for Europe. Y1 - 2017 U6 - https://doi.org/10.1126/sciadv.1601877 SN - 2375-2548 VL - 3 IS - 2 PB - American Assoc. for the Advancement of Science CY - Washington ER - TY - JOUR A1 - Strader, Anne A1 - Schneider, Max A1 - Schorlemmer, Danijel T1 - Prospective and retrospective evaluation of five-year earthquake forecast models for California JF - Geophysical journal international KW - Probabilistic forecasting KW - Statistical methods KW - Earthquake interaction KW - fore-casting KW - and prediction KW - Statistical seismology Y1 - 2017 U6 - https://doi.org/10.1093/gji/ggx268 SN - 0956-540X SN - 1365-246X VL - 211 SP - 239 EP - 251 PB - Oxford Univ. Press CY - Oxford ER -