28 research outputs found
Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise
Get PDFFehrman B, Gess B. Well-Posedness of Nonlinear Diffusion Equations with Nonlinear, Conservative Noise. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. 2019;233(1):249-322.We prove the pathwise well-posedness of stochastic porous media and fast diffusion equations driven by nonlinear, conservative noise. As a consequence, the generation of a random dynamical system is obtained. This extends results of the second author and Souganidis, who considered analogous spatially homogeneous and first-order equations, and earlier works of Lions, Perthame, and Souganidis
Impact of Matrix Factorization and Regularization Hyperparameter on a Recommender System for Movies
No full textArchitecture and development methodology for Location Based Services
Get PDFThis paper presents a LBS (Location Based Service) architecture, development methodology and a development tool to assist LBS developers in building new open standard LBS applications. The approach adopted has been to define new LBS systems based on open standards rather then proprietary driven technologies. SA GESS (Spatial Application Generic Environment System Standards) is an architecture platform for the development and deployment of wireless LBS applications. SAGE (Spatial Application Generic Environment) is a development methodology that outlines a step-by-step development approach to LBS application development. A prototype LBS application was deployed on the author\u27s SA GESS architecture platform, developed using the author\u27s SAGE development guidelines and the SAGE development toolkit. SAGESS and SAGE will decrease LBS development difficulties and provide an open standard approach to LBS application development
The stochastic thin-film equation: existence of nonnegative martingale solutions
Get PDFWe consider the stochastic thin-film equation with colored Gaussian
Stratonovich noise in one space dimension and establish the existence of
nonnegative weak (martingale) solutions. The construction is based on a
Trotter-Kato-type decomposition into a deterministic and a stochastic
evolution, which yields an easy to implement numerical algorithm. Compared to
previous work, no interface potential has to be included, the initial data and
the solution can have de-wetted regions of positive measure, and the
Trotter-Kato scheme allows for a simpler proof of existence than in case of
It\^o noise.Comment: 38 pages, revised version, nonnegativity proof changed, details to
time regularity and interpolation of operators adde
Claude-François Ménestriers fest- und inszenierungstheoretische Schriften. Übersetzung und Kommentar
No full textClaude-François Ménestrier (1631–1705), Jesuit, polymath, organiser of festivals, princes’ entries, and ballets, and author of over 150 writings on emblem-atics, numismatics, heraldry, and a wide variety of festivals and public spectacles, must be considered one of the most influential early modern theoreticians on images, festivals and the performing arts. His work aims to provide a comprehensive overview of mental and material images. This trilingual anthology (in English, French, and German) is the first to present excerpts of Ménestrier’s theoretical writings on festivals and the performing arts in a modern edition. The excerpts are preceded by introductions written by internationally renowned scholars of the early modern period
Images d'action. Claude-François Ménestrier's theoretical writings on festivals and performing arts. translation and commentary = Claude-François Ménestriers fest- und inszenierungstheoretische Schriften. Übersetzung und Kommentar
No full textClaude-François Ménestrier (1631–1705), Jesuit, polymath, organiser of festivals, princes’ entries, and ballets, and author of over 150 writings on emblematics, numismatics, heraldry, and a wide variety of festivals and public spectacles, must be considered one of the most influential early modern theoreticians on images, festivals and the performing arts. His work aims to provide a comprehensive overview of mental and material images. This trilingual anthology (in English, French, and Ger man) is the first to present excerpts of Ménestrier’s theoretical writings on festivals and the performing arts in a modern edition. The excerpts are preceded by introductions written by internationally renowned scholars of the early modern period
The Impact of the Design Process on Student Self-Efficacy and Content Knowledge
No full textThe United States of America needs STEM trained workers, STEM faculty and STEM professionals to improve its technical and professional workforce in order to maintain leadership in a global economy. However, American students are not opting to remain in a STEM course of study, and this is especially so for women and minorities. Of the students who pursue post-secondary education, the majority of movement away from STEM majors occurs in the first two years. Thus, educators are concerned with investigating factors that may influence students' persistence and success when in a STEM track of learning. To that end, this quasi-experimental mixed-method study was concerned with investigating the effects of participation in the design process on student self-efficacy and content knowledge gains in an undergraduate anatomy and physiology laboratory. Over fifty students participated in a design task that paralleled the topic being studied in a given semester and were given efficacy surveys along with lab practicums. Qualitative efficacy data, quantitative efficacy data and quantitative practicum results were analyzed and triangulated to produce a meta-inference as to the effect of participation in the design project had on student learning. Preliminary results indicate that the design process makes statistically significant impacts on both self-efficacy and content knowledge in the given context. The author follows with a discussion of the impact of design-based learning in the undergraduate biology classroom and implications for further research are considered.Ph. D
Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise
Get PDFWe prove the existence of nonnegative martingale solutions to a class of
stochastic degenerate-parabolic fourth-order PDEs arising in surface-tension
driven thin-film flow influenced by thermal noise. The construction applies to
a range of mobilites including the cubic one which occurs under the assumption
of a no-slip condition at the liquid-solid interface. Since their introduction
more than 15 years ago, by Davidovitch, Moro, and Stone and by Gr\"un, Mecke,
and Rauscher, the existence of solutions to stochastic thin-film equations for
cubic mobilities has been an open problem, even in the case of sufficiently
regular noise. Our proof of global-in-time solutions relies on a careful
combination of entropy and energy estimates in conjunction with a tailor-made
approximation procedure to control the formation of shocks caused by the
nonlinear stochastic scalar conservation law structure of the noise.Comment: 50 pages, accepted versio
Well-posedness of stochastic porous media equations with nonlinear, conservative noise
No full textWe prove the pathwise well-posedness of stochastic porous media and fast diffusion
equations driven by nonlinear, conservative noise. As a consequence, the generation of a random
dynamical system is obtained. This extends results of the second author and Souganidis, who
considered analogous spatially homogeneous and first-order equations, and earlier works of Lions,
Perthame, and Souganidis
Ecology and natural history of the Masarid wasps of the world with an assessment of their role as pollinators in southern Africa (Hymenoptera : Vespoidea : Masaridae)
Get PDFThe worldwide knowledge of the ecology and natural history of the masarid wasps, those wasps which bee-like provision their nest cells with pollen and nectar, is synthesized and discussed putting into context the investigations concerning nesting and flower visiting by southern African masarids conducted by the present author. Masarids are found mostly to favour warm to hot areas with relatively low rainfall and open scrubby vegetation. At the generic level the masarids of the Nearctic, Neotropical and Australian regions are distinct from each other and from those of the Palaearctic and Afrotropical regions combined. No species are shared between regions. Southern Africa is apparently the area of greatest species diversity. In this region, at least, there is a high incidence of narrow endemism. Masarids are associated with a relatively small range of plant families. Where sufficient records are available distinct major preferences are shown between zoogeographical regions. Relatedness of plant preferences between zoogeographical regions is apparent when relatedness of plant taxa is considered. Within a region there is marked overlap in masarid generic preferences for flower families. At the specific level there is marked oligolecty and narrow polylecty. The majority of nesting studies indicate that nest construction, egg laying and provisioning are performed by a single female per nest, however, nest sharing has been alledged for two species. No parasitic masarids have been recorded. Egg laying precedes provisioning. Mass provisioning is the rule. According to species, nests are sited in the ground, in non-friable soil or friable soil, in earthen vertical banks, on stones or on plants. Seven nest types are defined. Three bonding agents, water, nectar and self-generated silk are used. Masarids are evaluated as potential pollinators of their forage plants in southern Africa. The "masarid pollination syndrome", though less broad is shown to fall within that designated melittophily. The case studies considered make it clear that, whereas the masarids visiting some flower groups are members of a guild of potential pollinators, the masarids visiting others are probably their most important pollinators. Increasing land utilization is shown to threaten the existence of narrowly endmic masarid species
