Nonlinear stability of Euler flows in two-dimensional periodic domains

The non-quadratic conservation laws of the two-dimensional Euler equations are used to show that the gravest modes in a doubly-periodic domain with aspect ratio L = 1 are stable up to translations (or structurally stable) for finite-amplitude disturbances. This extends a previous result based on conservation of energy and enstrophy alone. When L 1, a saturation bound is established for the mode with wavenumber |k| = L −1 (the next-gravest mode), which is linearly unstable. The method is applied to prove nonlinear structural stability of planetary wave two on a rotating sphere.

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.

A model intervenes: the many faces of moral hazard

This article builds on advances in social ontology to develop a new understanding of how mainstream economic modelling affects reality. We propose a new framework for analysing and describing how models intervene in the social sphere. This framework allows us to identify and articulate three key epistemic features of models as interventions: specificity, portability and formal precision. The second part of the article uses our framework to demonstrate how specificity, portability and formal precision explain the use of moral hazard models in a variety of different policy contexts, including worker compensation schemes, bank regulation and the euro-sovereign debt crisis.

Genetic, structural, and molecular insights into the function of ras of complex proteins domains

Ras of complex proteins (ROC) domains were identified in 2003 as GTP binding modules in large multidomain proteins from Dictyostelium discoideum. Research into the function of these domains exploded with their identification in a number of proteins linked to human disease, including leucine-rich repeat kinase 2 (LRRK2) and death-associated protein kinase 1 (DAPK1) in Parkinson’s disease and cancer, respectively. This surge in research has resulted in a growing body of data revealing the role that ROC domains play in regulating protein function and signaling pathways. In this review, recent advances in the structural informa- tion available for proteins containing ROC domains, along with insights into enzymatic function and the integration of ROC domains as molecular switches in a cellular and organismal context, are explored.

Pathogenic Parkinson’s disease mutations across the functional domains of LRRK2 alter the autophagic/lysosomal response to starvation

LRRK2 is one of the most important genetic contributors to Parkinson’s disease (PD). Point mutations in this gene cause an autosomal dominant form of PD, but to date no cellular phenotype has been consis- tently linked with mutations in each of the functional domains (ROC, COR and Kinase) of the protein product of this gene. In this study, primary fibroblasts from individuals carrying pathogenic mutations in the three central domains of LRRK2 were assessed for alterations in the autophagy/lysosomal pathway using a combination of biochemical and cellular approaches. Mutations in all three domains resulted in alterations in markers for autophagy/lysosomal function compared to wild type cells. These data high- light the autophagy and lysosomal pathways as read outs for pathogenic LRRK2 function and as a marker for disease, and provide insight into the mechanisms linking LRRK2 function and mutations.

Common components of risk and uncertainty attitudes across contexts and domains: Evidence from 30 countries

Attitudes towards risk and uncertainty have been indicated to be highly context-dependent, and to be sensitive to the measurement technique employed. We present data collected in controlled experiments with 2,939 subjects in 30 countries measuring risk and uncertainty attitudes through incentivized measures as well as survey questions. Our data show clearly that measures correlate not only within decision contexts or measurement methods, but also across contexts and methods. This points to the existence of one underlying “risk preference”, which influences attitudes independently of the measurement method or choice domain. We furthermore find that answers to a general and a financial survey question correlate with incentivized lottery choices in most countries. Incentivized and survey measures also correlate significantly between countries. This opens the possibility to conduct cultural comparisons on risk attitudes using survey instruments.

The application of a domains based analysis to family processes: implications for assessment and therapy

Social domains are classes of interpersonal processes each with distinct procedural rules underpinning mutual understanding, emotion regulation and action. We describe the features of three domains of family life – safety, attachment and discipline/expectation – and contrast them with exploratory processes in terms of the emotions expressed, the role of certainty versus uncertainty, and the degree of hierarchy in an interaction. We argue that everything that people say and do in family life carries information about the type of interaction they are engaged in – that is, the domain. However, sometimes what they say or how they behave does not make the domain clear, or participants in the social interactions are not in the same domain (there is a domain mismatch). This may result in misunderstandings, irresolvable arguments or distress. We describe how it is possible to identify domains and judge whether they are clear and unclear, and matched and mismatched, in observed family interactions and in accounts of family processes. This then provides a focus for treatment and helps to define criteria for evaluating outcomes.

Pippi Longstocking, juvenile delinquent? Hachette, self-censorship and the moral reconstruction of postwar France

This paper looks at the blockages to the publication of children’s literature caused by the intellectual climate of the postwar era, through a case study of the editorial policy of Hachette, the largest publisher for children at this time. This period witnessed heightened tensions surrounding the social and humanitarian responsibilities of literature. Writers were blamed for having created a culture of defeatism, and collaborationist authors were punished harshly in the purges. In the case of children’s literature, the discourse on responsibility was made more urgent by the assumption that children were easily influenced by their reading material, and by the centrality of the young to the discourse on the moral reconstruction of France. As the politician and education reformer Gustave Monod put it: “penser l’avenir, c’est penser le sort des enfants et de la jeunesse.” These concerns led to the expansion of associations and publications dedicated to protecting children and promoting “good” reading matter for them, and, famously, to the 1949 law regulating publications for children, which banned the depiction of crime, debauchery and violence that might demoralise young readers. Using the testimonials of former employees, along with readers’ reports and editorial correspondence preserved in the Hachette archives, this paper will examine how individual editorial decisions and self-censorship strategies were shaped by the 1949 law with its attendant discourse of moral panic on children’s reading, and how national concerns for future citizens were balanced with commercial imperatives.

Reliable but not home free? What framing effects mean for moral intuitions

Various studies show moral intuitions to be susceptible to framing effects. Many have argued that this susceptibility is a sign of unreliability and that this poses a methodological challenge for moral philosophy. Recently, doubt has been cast on this idea. It has been argued that extant evidence of framing effects does not show that moral intuitions have a unreliability problem. I argue that, even if the extant evidence suggests that moral intuitions are fairly stable with respect to what intuitions we have, the effect of framing on the strength of those intuitions still needs to be taken into account. I argue that this by itself poses a methodological challenge for moral philosophy.

Moral uncertainty and permissibility: evaluating option sets

In this essay, we explore an issue of moral uncertainty: what we are permitted to do when we are unsure about which moral principles are correct. We develop a novel approach to this issue that incorporates important insights from previous work on moral uncertainty, while avoiding some of the difficulties that beset existing alternative approaches. Our approach is based on evaluating and choosing between option sets rather than particular conduct options. We show how our approach is particularly well-suited to address this issue of moral uncertainty with respect to agents that have credence in moral theories that are not fully consequentialist.

INDEFINITE QUASILINEAR ELLIPTIC EQUATIONS IN EXTERIOR DOMAINS WITH EXPONENTIAL CRITICAL GROWTH

This paper is concerned with the existence of solutions for the quasilinear problem {-div(vertical bar del u vertical bar(N-2) del u) + vertical bar u vertical bar(N-2) u = a(x)g(u) in Omega u = 0 on partial derivative Omega, where Omega subset of R(N) (N >= 2) is an exterior domain; that is, Omega = R(N)\omega, where omega subset of R(N) is a bounded domain, the nonlinearity g(u) has an exponential critical growth at infinity and a(x) is a continuous function and changes sign in Omega. A variational method is applied to establish the existence of a nontrivial solution for the above problem.