Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation

This paper addresses well-posedness issues for the initial value problem (IVP) associated with the generalized Zakharov-Kuznetsov equation, namely, \{equation*} \quad \left\{\{array}{lll} {\displaystyle u_t+\partial_x \Delta u+u^ku_x = 0,}\qquad (x,y) \in \mathbb{R}^2, \,\,\,\, t>0, {\displaystyle u(x,y,0)=u_0(x,y)}. \{array} \right. \{equation*} For $2\leq k \leq 7$, the IVP above is shown to be locally well-posed for data in $H^s(\mathbb{R}^2)$, $s>3/4$. For $k\geq8$, local well-posedness is shown to hold for data in $H^s(\mathbb{R}^2)$, $s>s_k$, where $s_k=1-3/(2k-4)$. Furthermore, for $k\geq3$, if $u_0\in H^1(\mathbb{R}^2)$ and satisfies $\|u_0\|_{H^1}\ll1$, then the solution is shown to be global in $H^1(\mathbb{R}^2)$. For $k=2$, if $u_0\in H^s(\mathbb{R}^2)$, $s>53/63$, and satisfies $\|u_0\|_{L^2}<\sqrt3 \, \|\phi\|_{L^2}$, where $\phi$ is the corresponding ground state solution, then the solution is shown to be global in $H^s(\mathbb{R}^2)$

Transnational encounters : crossing borders in Galician translation and interpreting studies

Exploring the ways in which languages and cultures interact across borders becomes particularly relevant in our increasingly interconnected world, as it ultimately enables an in depth understanding of how societies influence each other. Translation and interpreting, as mediating forces in transnational encounters, offer critical insights into this continuous crosscultural dialogue and negotiation. Of special interest for the Galician context, research into translation and interpreting —especially after the so-called cultural turn in the discipline— has often exposed asymmetrical power relations between languages and cultures and put forward alternatives to challenge them. Indeed, this has been one of the recurrent tropes in Galician Translation and Interpreting Studies scholarship since the 1990s

Synthetic Generation of Events for Address-Event-Representation Communications

Address-Event-Representation (AER) is a communications protocol for transferring images between chips, originally developed for bio-inspired image processing systems. Such systems may consist of a complicated hierarchical structure with many chips that transmit images among them in real time, while performing some processing (for example, convolutions). In developing AER based systems it is very convenient to have available some kind of means of generating AER streams from on-computer stored images. In this paper we present a method for generating AER streams in real time from images stored in a computer’s memory. The method exploits the concept of linear feedback shift register random number generators. This method has been tested by software and compared to other possible algorithms for generating AER streams. It has been found that the proposed method yields a minimum error with respect to the ideal situation. A hardware platform that exploits this technique is currently under development

The privatisation of communal lands in spain (1750-1925): an econometric revision of the Neo-Malthusian thesis

The main aim of this paper is to check one of the few existing theories regarding the factors that can explain the historical dissolution of collective rustic property, namely the Neo-Malthusian thesis which underlies the so-called “tragedy of the commons”. This old interpretative proposal, originating in the field of Biology, but rapidly adopted by Economy, not only continues to be explicitly present in some manuals of natural resources management, but also persists in those works that, from Economic and Social History, attempt to understand the reasons of the decline of communal systems in the Western world. Leaving aside the revision that, in the last decades, New Institutional Economy has advanced in this respect through the “property rights theory”, which is difficult to contrast, my paper tries to test the applicability of the Neo-Malthusian schema with the help of elementary econometric methods. The testing ground chosen for this purpose is the process of disintegration of communal lands which took place in Spain since the middle of the 18th century and, especially, the process of privatisation promoted by the Law of General Disentitlement of 1 May 1855. In no way does this analysis attempt to create a refined econometric model with which to explain the changes in collective patrimony during the last centuries. The inclusion in the test of other factors, different from the ones emphasised in the “tragedy of the commons”, suggests and advances some possible approaches to assemble an alternative theoretical schema, but does not endeavour to offer a global mechanical explanation.tragedy of the commons, Neo-Malthusian thesis, privatisation process, collective rustic patrimony, Spain, Extremadura, econometric methods