Global smooth solutions of Euler equations for Van der Waals gases

We prove global in time existence of solutions of the Euler compressible equations for a Van der Waals gas when the density is small enough in $\H{m}$, for $m$ large enough. To do so, we introduce a specific symmetrisation allowing areas of null density. Next, we make estimates in $\H{m}$, using for some terms the estimates done by M. Grassin, who proved the same theorem in the easier case of a perfect polytropic gas. We treat the remaining terms separately, due to their non-linearity

Identity Through Clothing: Argentinian vs. American Women

According to Roach-Higgins, Eicher, and Johnson (1995), “individuals acquire identity through social, physical, and biological settings” (pg.12). When acquiring identity, culture plays a vital role. Because of numerous influences on identity, a conflict exists for those who identify with more than one culture. This study focuses specifically on the problems of women who identify both as Argentinian and American. The purpose of this creative project was to create an outfit that could be worn by an Argentinian/American woman in the presence of family and friends, regardless of culture, and not feel that she is disregarding societal norms of either culture. Data of what is culturally accepted were collected from WGSN, an industry fashion trend website, news articles, and two popular social media platforms, Pinterest and Instagram. After conducting a study of street styles from each country, lists of similarities and differences were noted. From these findings, an outfit was designed and created that could meet the standards of a woman from Argentina or America, in the author’s opinion. A future survey of other Argentinian and American women is recommended to find conclusive, quantitative data to determine if this garment actually does satisfy the purpose of this creative project

Matrix-F5 algorithms and tropical Gr\"obner bases computation

Let $K$ be a field equipped with a valuation. Tropical varieties over $K$ can be defined with a theory of Gr\"obner bases taking into account the valuation of $K$. Because of the use of the valuation, this theory is promising for stable computations over polynomial rings over a $p$-adic fields.We design a strategy to compute such tropical Gr\"obner bases by adapting the Matrix-F5 algorithm. Two variants of the Matrix-F5 algorithm, depending on how the Macaulay matrices are built, are available to tropical computation with respective modifications. The former is more numerically stable while the latter is faster.Our study is performed both over any exact field with valuation and some inexact fields like $\mathbb{Q}\_p$ or $\mathbb{F}\_q \llbracket t \rrbracket.$ In the latter case, we track the loss in precision, and show that the numerical stability can compare very favorably to the case of classical Gr\"obner bases when the valuation is non-trivial. Numerical examples are provided

Identity and Autonomy in a Human Complex System

The work presented here is centred on the notions of language, of code as well as the interactions that allow to take into account the complex relations between different types of entities, actors, ... corresponding to the embedded cognitive networks . At this level, questions about the identity and the heterogeneity of actors particularly important to the globalisation phenomena can be examined through the negotiation mechanisms and collective decisions. The multiplicity of cognitive shortcuts used, related to the autonomy of actors and institutions or to their interactions, makes it possible to take into account the complexity of human systems.autonomy; cognitive shortcut; complex mediation; embeddeness; identity

Professional and personal paths for Europe’s qualified youth A survey of French, Italian and English ex-Erasmus students’ trajectories

Behind the image of a globalised, mobile elite there is a wide range of social realities. In Europe today, there are many types of international migrants. This paper focuses on the field of qualified, professional migration, a type that falls between the two extremities on the social spectrum: the elite corporation, top executives in the world of globalisation, and poor migrants or asylum-seekers, with little capital. Our starting point is the theory that today in Europe, certain young people from the "middle class” of the south of the continent and/or massified higher education establishments use geographical mobility as a means to social mobility (move out in order to move up). We also hypothesise that this often has consequences on both their lives and their original geographical region. We have chosen to show the "human side” (Smith; Favell, 2006) of globalisation, instead of the more common viewpoint of theory and rhetoric, by asking former Erasmus students about their careers and experiences, both professional and non-professional. We analyse to what extent their careers correspond to new injunctions and how these non-linear, reversible paths have an impact on the entry into adult life for young people from average social and professional categories. On the basis of an in-depth content analysis of around fifty semi-directive interviews with young Italian, French and English people, we show how student mobility corresponds to expectations of the economic and social world, which go beyond the expectations of the participants themselves. The question of a possible reinforcement of existing social and economic inequalities within the European Union is thus raised through the relative "freedom” of the students when confronted with exchanges.