On the equivalence of Eulerian and Lagrangian variables for the two-component Camassa-Holm system

The Camassa-Holm equation and its two-component Camassa-Holm system generalization both experience wave breaking in finite time. To analyze this, and to obtain solutions past wave breaking, it is common to reformulate the original equation given in Eulerian coordinates, into a system of ordinary differential equations in Lagrangian coordinates. It is of considerable interest to study the stability of solutions and how this is manifested in Eulerian and Lagrangian variables. We identify criteria of convergence, such that convergence in Eulerian coordinates is equivalent to convergence in Lagrangian coordinates. In addition, we show how one can approximate global conservative solutions of the scalar Camassa-Holm equation by smooth solutions of the two-component Camassa-Holm system that do not experience wave breaking

On the Cauchy Problem for the Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data I. Schwartz-Type Perturbations

We solve the Cauchy problem for the Korteweg-de Vries equation with initial conditions which are steplike Schwartz-type perturbations of finite-gap potentials under the assumption that the respective spectral bands either coincide or are disjoint.Comment: 29 page

Long-Time Asymptotics of Perturbed Finite-Gap Korteweg-de Vries Solutions

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of solutions of the Korteweg--de Vries equation which are decaying perturbations of a quasi-periodic finite-gap background solution. We compute a nonlinear dispersion relation and show that the $x/t$ plane splits into $g+1$ soliton regions which are interlaced by $g+1$ oscillatory regions, where $g+1$ is the number of spectral gaps. In the soliton regions the solution is asymptotically given by a number of solitons travelling on top of finite-gap solutions which are in the same isospectral class as the background solution. In the oscillatory region the solution can be described by a modulated finite-gap solution plus a decaying dispersive tail. The modulation is given by phase transition on the isospectral torus and is, together with the dispersive tail, explicitly characterized in terms of Abelian integrals on the underlying hyperelliptic curve.Comment: 45 pages. arXiv admin note: substantial text overlap with arXiv:0705.034

Application of stochastic programming to reduce uncertainties in quality-based supply planning of slaughterhouses

To match products of different quality with end market preferences under supply uncertainty, it is crucial to integrate product quality information in logistics decision making. We present a case of this integration in a meat processing company that faces uncertainty in delivered livestock quality. We develop a stochastic programming model that exploits historical product quality delivery data to produce slaughterhouse allocation plans with reduced levels of uncertainty in received livestock quality. The allocation plans generated by this model fulfil demand for multiple quality features at separate slaughterhouses under prescribed service levels while minimizing transportation costs. We test the model on real world problem instances generated from a data set provided by an industrial partner. Results show that historical farmer delivery data can be used to reduce uncertainty in quality of animals to be delivered to slaughterhouses

Risk scoring models for trade credit in small and medium enterprises

Trade credit refers to providing goods and services on a deferred payment basis. Commercial credit management is a matter of great importance for most small and medium enterprises (SMEs), since it represents a significant portion of their assets. Commercial lending involves assuming some credit risk due to exposure to default. Thus, the management of trade credit and payment delays is strongly related to the liquidation and bankruptcy of enterprises. In this paper we study the relationship between trade credit management and the level of risk in SMEs. Despite its relevance for most SMEs, this problem has not been sufficiently analyzed in the existing literature. After a brief review of existing literature, we use a large database of enterprises to analyze data and propose a multivariate decision-tree model which aims at explaining the level of risk as a function of several variables, both of financial and non-financial nature. Decision trees replace the equation in parametric regression models with a set of rules. This feature is an important aid for the decision process of risk experts, as it allows them to reduce time and then the economic cost of their decisions

Green competence framework: Evidence from China

© 2015 Taylor & Francis Recently human resources management functions such as recruitment, selection, training and performance evaluation are expected in considering environmental management issues. Environmental protective acts with adequate ecological knowledge and socio-economic behavior and skills are referred to in this paper as green competencies (GCs). However, a systematic approach for developing and understanding key factors that enhance individuals' GCs is lacking. This study contributes to green human resource literature by integrating environmental consumer behavior literature with traditional skills and competencies literature to help firms to select the right individuals to achieve their environmental goals. Using Robert's competencies framework and structural equation modeling, this paper empirically examines the influence of individual GCs on organizations' green practices and performance objectives. Our model is tested using a sample of 1230 employees working in key industries in the Chinese coastal city of Ningbo. The results indicate that acquired GCs are more positively associated with individuals' GCs and green behavior. The study empirically demonstrates that verifying acquired GC attributes such as environmental knowledge, green purchase attitude and intention during employee selection would certainly be helpful for firms to identify individual green performance potential

Psychological Determinants of Consumer Acceptance of Personalised Nutrition in 9 European Countries

YesObjective: To develop a model of the psychological factors which predict people’s intention to adopt personalised nutrition. Potential determinants of adoption included perceived risk and benefit, perceived self-efficacy, internal locus of control and health commitment. Methods: A questionnaire, developed from exploratory study data and the existing theoretical literature, and including validated psychological scales was administered to N = 9381 participants from 9 European countries (Germany, Greece, Ireland, Poland, Portugal, Spain, the Netherlands, the UK, and Norway). Results: Structural equation modelling indicated that the greater participants’ perceived benefits to be associated with personalised nutrition, the more positive their attitudes were towards personalised nutrition, and the greater their intention to adopt it. Higher levels of nutrition self-efficacy were related to more positive attitudes towards, and a greater expressed intention to adopt, personalised nutrition. Other constructs positively impacting attitudes towards personalised nutrition included more positive perceptions of the efficacy of regulatory control to protect consumers (e.g. in relation to personal data protection), higher self-reported internal health locus of control, and health commitment. Although higher perceived risk had a negative relationship with attitude and an inverse relationship with perceived benefit, its effects on attitude and intention to adopt personalised nutrition was less influential than perceived benefit. The model was stable across the different European countries, suggesting that psychological factors determining adoption of personalised nutrition have generic applicability across different European countries. Conclusion: The results suggest that transparent provision of information about potential benefits, and protection of consumers’ personal data is important for adoption, delivery of public health benefits, and commercialisation of personalised nutrition.This project has received funding from the European Union’s Seventh Framework Programme for research, technological development and demonstration under grant agreement n u 265494 (http://cordis.europa.eu/fp7/home_en.html). Food4Me is the acronym of the project ‘‘Personalised nutrition: an integrated analysis of opportunities and challenges’’ (http://www.food4me.org/). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript

Can information affect sensory perceptions? Evidence from a survey on Italian organic food consumers

This paper aims to investigate the influence of information on consumers’ preferences and sensory perceptions of organic food using a sample of 301 Italian organic food consumers. Consumers stated their preferences for “core organic” attributes, labels and information on food products and performed blind and informed tests on strawberry yoghurts and cookies. Data were analysed using descriptive analysis, Mann-Whitney U tests and Wilcoxon signed-rank test. Results revealed that consumers appreciate “core organic” attributes, like artisanal production and variability of sensory attributes. Comparing blind and informed tests, results showed that information affects the overall liking of products and consumers’ perception of product-specific sensory attributes. However, the influence of information on sensory perceptions depends on the product category, sensory attributes and the type of information provided

Pleasure, quality or status? : an analysis of drivers of purchase of fresh pork in China

What are consumers aiming to get when they buy fresh meat? Is it the emotional pleasure, the nutritional quality and functionality, or the status that goes with it? We examine this question for Chinese consumers buying fresh pork. In order to understand the driving forces for pork purchases, we use the concept of perceived value of a product, and distinguish emotional value, quality/performance and social value, together with price/value for money. We look at how perceived value of pork products in China is related to consumers’ attitude to these products and to their repeated purchase of these products. In addition, we look at how value perception and its role in determining attitude and purchase behavior differ between different consumer segments, distinguished based on their shopping behavior. An online survey was carried out in 5 Chinese 1st and 2nd tier cities. Respondents were segmented based on their usage of different ways of shopping for pork using latent class cluster analysis. Relationships between constructs were estimated using PLS. Quality/functional value was the strongest determinant of attitude, but emotional value was both the strongest direct determinant of purchase behavioral and the strongest determinant overall when taking effects mediated by attitude into account. Customer journey segments differed in their pattern of determinants of attitudinal and behavioral loyalty. We conclude that buying fresh meat is, for Chinese consumers, mostly driven by the expected pleasure and to a lesser degree by quality and functional properties like safety and healthiness. The latter do have an impact on consumers’ attitude to the product, but less so on their buying behavior, suggesting that attitude and purchase are driven by different mental processes. We discuss implications for future demand for fresh pork in China.© 2024 Mulders, Grunert, Pedersen, Brunsø and Zhou. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.fi=vertaisarvioitu|en=peerReviewed