Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth

We study weak solutions for a class of free-boundary problems which includes as a special case the classical problem of travelling gravity waves on water of finite depth. We show that such problems are equivalent to problems in fixed domains and study the regularity of their solutions. We also prove that in very general situations the free boundary is necessarily the graph of a function.

Steady periodic water waves with constant vorticity: regularity and local bifurcation

This paper studies periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. Using conformal mappings the free-boundary problem is transformed into a quasilinear pseudodifferential equation for a periodic function of one variable. The new formulation leads to a regularity result and, by use of bifurcation theory, to the existence of waves of small amplitude even in the presence of stagnation points in the flow.

Mitochondrial and chloroplast DNA-based phylogeny of Pelargonium (Geraniaceae)

Overall phylogenetic relationships within the genus Pelargonium (Geraniaceae) were inferred based on DNA sequences from mitochondrial(mt)-encoded nad1 b/c exons and from chloroplast(cp)-encoded trnL (UAA) 5' exon-trnF (GAA) exon regions using two species of Geranium and Sarcocaulon vanderetiae as outgroups. The group II intron between nad1 exons b and c was found to be absent from the Pelargonium, Geranium, and Sarcocaulon sequences presented here as well as from Erodium, which is the first recorded loss of this intron in angiosperms. Separate phylogenetic analyses of the mtDNA and cpDNA data sets produced largely congruent topologies, indicating linkage between mitochondrial and chloroplast genome inheritance. Simultaneous analysis of the combined data sets yielded a well-resolved topology with high clade support exhibiting a basic split into small and large chromosome species, the first group containing two lineages and the latter three. One large chromosome lineage (x = 11) comprises species from sections Myrrhidium and Chorisma and is sister to a lineage comprising P. mutans (x = 11) and species from section Jenkinsonia (x = 9). Sister to these two lineages is a lineage comprising species from sections Ciconium (x = 9) and Subsucculentia (x = 10). Cladistic evaluation of this pattern suggests that x = 11 is the ancestral basic chromosome number for the genus.

Equivalence of weak formulations of the steady water waves equations

We prove the equivalence of three weak formulations of the steady water waves equations, namely: the velocity formulation, the stream function formulation and the Dubreil-Jacotin formulation, under weak Hölder regularity assumptions on their solutions.

The relationship between European Community agricultural Structural Policies and their implementation and agricultural succession and inheritance within Member States

This paper presents an overview of the European Union involvement in agricultural restructuring. By way of introduction it looks at the processes of farm replication operating in Europe and the forces behind them. It then considers the wider application of EU measures in each Member State and how they interrelate with the national property laws and social customs. In conclusion the paper appraises the restructuring policies by examining the balance between legitimising the concentration of property rights amongst a minority and the fragmentation of estates between the majority.

The island and the world: kinship, friendship and living together in selected writings of Sam Selvon

This article argues that the ethical force of Trinidadian Sam Selvon’s creative writings comes from the particular configuration of living together that he is interested in, both in his Trinidadian novels and his London ones. It reads examples of this living together alongside and in difference that emerges through his focus on the relations between neighbours, friends and lovers, rather than the kinship relations of family. It argues that his works thereby map horizontal zones of attachment and possible solidarities across groupings that reconfigure vertically inscribed genealogical paradigms of belonging to place and each other based on models of historical continuity and inheritance.

Inheritance, access to resources and poverty in Serer families in Senegal

This research explores the relationship between inheritance, access to resources and the intergenerational transmission of poverty among the Serer ethnic group in rural and urban environments in Senegal. In many Sub-Saharan African countries, customary law excludes women from owning and inheriting assets, such as land and property. Yet, assets controlled by women often result in increased investments in the next generation's health, nutrition and schooling and reduce the intergenerational transmission of poverty. Qualitative research with 60 participants in Senegal reveals the important role that land, housing and financial assets may play in building resilience to household shocks and interrupting the intergenerational transmission of poverty. However, the protection afforded by these assets was often dependent on other factors, including human, social and environmental capital. The death of a spouse or parent had major emotional and material impacts on many Serer families. The inheritance and control of assets and resources was strongly differentiated among family members along lines of gender, age and generation. Younger widows and their children were particularly vulnerable to chronic poverty. Although inheritance disputes were rare, the research suggests they are more likely between co-wives in polygamous unions and their children, particularly in urban areas. In addition to experiencing economic and health-related shocks, many interviewees were exposed to a range of climate-related risks and environmental pressures which increased their vulnerability. Family members coped with these shocks and risks by diversifying livelihoods, migrating to urban areas and other regions for work, participating in women's co-operatives and associations and developing supportive social networks with extended family and community members. Policies and practices that may help to alleviate poverty, safeguard women's and young people's inheritance and build resilience to financial, health-related and environmental shocks and risks include: - Social protection measures targeted towards poor widows and orphaned children, such as social and cash transfers to pay for basic needs including food, healthcare and children's schooling. - Micro-finance initiatives and credit and savings schemes, alongside training and capacity-building targeted to women and young people to develop income-generation activities and skills. - Free legal advice, support and advocacy for women and young people to pursue inheritance claims through the legal system. - Raising awareness about women's and children's legal rights and working with government and community and religious leaders to tackle discriminatory inheritance practices and contradictions caused by legal pluralism. - Increasing women's control of land and access to inputs, enhancing their business, organisational, and leadership skills and promoting civic participation in local, regional and national decision-making processes. - Improving access to basic services in rural areas, particularly healthcare, building the quality of education and promoting girls' access to education - Enhancing agricultural production and providing more employment opportunities, apprenticeships and vocational training for young people, particularly in rural areas.

An integrated view of data quality in Earth observation

Data quality is a difficult notion to define precisely, and different communities have different views and understandings of the subject. This causes confusion, a lack of harmonization of data across communities and omission of vital quality information. For some existing data infrastructures, data quality standards cannot address the problem adequately and cannot fulfil all user needs or cover all concepts of data quality. In this study, we discuss some philosophical issues on data quality. We identify actual user needs on data quality, review existing standards and specifications on data quality, and propose an integrated model for data quality in the field of Earth observation (EO). We also propose a practical mechanism for applying the integrated quality information model to a large number of datasets through metadata inheritance. While our data quality management approach is in the domain of EO, we believe that the ideas and methodologies for data quality management can be applied to wider domains and disciplines to facilitate quality-enabled scientific research.

Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex

In this paper we study convergence of the L2-projection onto the space of polynomials up to degree p on a simplex in Rd, d >= 2. Optimal error estimates are established in the case of Sobolev regularity and illustrated on several numerical examples. The proof is based on the collapsed coordinate transform and the expansion into various polynomial bases involving Jacobi polynomials and their antiderivatives. The results of the present paper generalize corresponding estimates for cubes in Rd from [P. Houston, C. Schwab, E. Süli, Discontinuous hp-finite element methods for advection-diffusion-reaction problems. SIAM J. Numer. Anal. 39 (2002), no. 6, 2133-2163].

Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftz hp-dGFEM

We study the approximation of harmonic functions by means of harmonic polynomials in two-dimensional, bounded, star-shaped domains. Assuming that the functions possess analytic extensions to a delta-neighbourhood of the domain, we prove exponential convergence of the approximation error with respect to the degree of the approximating harmonic polynomial. All the constants appearing in the bounds are explicit and depend only on the shape-regularity of the domain and on delta. We apply the obtained estimates to show exponential convergence with rate O(exp(−b square root N)), N being the number of degrees of freedom and b>0, of a hp-dGFEM discretisation of the Laplace equation based on piecewise harmonic polynomials. This result is an improvement over the classical rate O(exp(−b cubic root N )), and is due to the use of harmonic polynomial spaces, as opposed to complete polynomial spaces.

Contrasting effects of changing rhythm and content on auditory distraction in immediate memory

Across five experiments, the temporal regularity and content of an irrelevant speech stream were varied and their effects on a serial recall task examined. Variations of the content, but not the rhythm, of the irrelevant speech stimuli reliably disrupted serial recall performance in all experiments. Bayesian analyses supported the null hypothesis over the hypothesis that irregular rhythms would disrupt memory to a greater extent than regular rhythms. Pooling the data in a combined analysis revealed that regular presentation of the irrelevant speech was significantly more disruptive to serial recall than irregular presentation. These results are consistent with the idea that auditory distraction is sensitive to both intra-item and inter-item relations and challenge an orienting-based account of auditory distraction.

Working with legal pluralism: widowhood, property inheritance and poverty alleviation in urban Senegal

This article explores the role of women's inheritance and ownership of property in urban Senegal. It shows how being able to inherit and own property promotes the economic and emotional security of widows and their children in urban areas, and discusses the challenges posed by legal pluralism in working on poverty alleviation and social protection in the city.

Emotional responses to Hindustani raga music: the role of musical structure

In Indian classical music, ragas constitute specific combinations of tonic intervals potentially capable of evoking distinct emotions. A raga composition is typically presented in two modes, namely, alaap and gat. Alaap is the note by note delineation of a raga bound by a slow tempo, but not bound by a rhythmic cycle. Gat on the other hand is rendered at a faster tempo and follows a rhythmic cycle. Our primary objective was to (1) discriminate the emotions experienced across alaap and gat of ragas, (2) investigate the association of tonic intervals, tempo and rhythmic regularity with emotional response. 122 participants rated their experienced emotion across alaap and gat of 12 ragas. Analysis of the emotional responses revealed that (1) ragas elicit distinct emotions across the two presentation modes, and (2) specific tonic intervals are robust predictors of emotional response. Specifically, our results showed that the ‘minor second’ is a direct predictor of negative valence. (3) Tonality determines the emotion experienced for a raga where as rhythmic regularity and tempo modulate levels of arousal. Our findings provide new insights into the emotional response to Indian ragas and the impact of tempo, rhythmic regularity and tonality on it.