Global Existence of classical solutions for a class of reaction-diffusion systems

In this paper, we use duality arguments "\`a la Michel Pierre" to establish global existence of classic solutions for a class of parabolic reaction-diffusion systems modeling, for instance, the evolution of reversible chemical reactions.Comment: Submitted; Acta Applicandae Mathematicae (2011

Exponential decay towards equilibrium and global classical solutions for nonlinear reaction-diffusion systems

We consider a system of reaction-diffusion equations describing the reversible reaction of two species $\mathcal{U}, \mathcal{V}$ forming a third species $\mathcal{W}$ and vice versa according to mass action law kinetics with arbitrary stochiometric coefficients (equal or larger than one). Firstly, we prove existence of global classical solutions via improved duality estimates under the assumption that one of the diffusion coefficients of $\mathcal{U}$ or $\mathcal{V}$ is sufficiently close to the diffusion coefficient of $\mathcal{W}$. Secondly, we derive an entropy entropy-dissipation estimate, that is a functional inequality, which applied to global solutions of these reaction-diffusion system proves exponential convergence to equilibrium with explicit rates and constants.Comment: 24 page

Association Between Lifetime Adverse Events, Emotion Dysregulation, Posttraumatic Stress Symptoms, Acculturation, and Chronic Pain: A Moderated Mediation Model

The association between traumatic experiences and chronic pain is well established. Lesser is known about how acculturation might affect this relation, specifically with Hispanics. In the present study, self-report measures on traumatic experiences, posttraumatic stress symptoms, emotion dysregulation, chronic pain, and acculturation were administered to 140 participants (71.4% females) aged 18–65 years old (M = 35.06, SD = 11.55), to determine whether acculturation moderates the relation between adverse lifetime experiences and chronic pain as mediated by posttraumatic stress symptoms and emotion dysregulation. Those who were highly acculturated to the U.S. Anglo culture were higher on chronic pain than those who were less acculturated; however, those who were less acculturated had a steeper incline in chronic pain as emotion dysregulation and posttraumatic symptoms of negative affect and hyperarousal increased, ultimately expressing more chronic pain overall. More research needs to be conducted on Hispanic populations to see how this plays out longitudinally. Alternate abstract: La asociación entre experiencias traumáticas y dolor crónico está bien establecida. Se sabe menos sobre cómo la aculturación puede afectar esta relación, específicamente con los hispanos. En el presente estudio, se administraron medidas de autoinforme sobre experiencias traumáticas, síntomas de estrés postraumático, desregulación emocional, dolor crónico y aculturación a 140 participantes (71,4% mujeres) de 18 a 65 años de edad (M = 35,06, DE = 11,55) , para determinar si la aculturación modera la relación entre las experiencias adversas de por vida y el dolor crónico mediado por los síntomas de estrés postraumático y la desregulación de las emociones. Aquellos que estaban altamente aculturados a la cultura anglo de los Estados Unidos tenían más dolor crónico que aquellos que estaban menos aculturados; sin embargo, aquellos que estaban menos aculturados tuvieron una inclinación más pronunciada en el dolor crónico a medida que aumentaron la desregulación de las emociones y los síntomas postraumáticos de afecto negativo e hiperactivación, que finalmente expresaron más dolor crónico en general. Se necesita más investigación sobre las poblaciones hispanas para ver cómo se desarrolla esto longitudinalmente

Habibi - a multi Dialect multi National Arabic Song Lyrics Corpus

This paper introduces Habibi the first Arabic Song Lyrics corpus. The corpus comprises more than 30,000 Arabic song lyrics in 6 Arabic dialects for singers from 18 different Arabic countries. The lyrics are segmented into more than 500,000 sentences (song verses) with more than 3.5 million words. I provide the corpus in both comma separated value (csv) and annotated plain text (txt) file formats. In addition, I converted the csv version into JavaScript Object Notation (json) and eXtensible Markup Language (xml) file formats. To experiment with the corpus I run extensive binary and multi-class experiments for dialect and country-of-origin identification. The identification tasks include the use of several classical machine learning and deep learning models utilising different word embeddings. For the binary dialect identification task the best performing classifier achieved a testing accuracy of 93%. This was achieved using a word-based Convolutional Neural Network (CNN) utilising a Continuous Bag of Words (CBOW) word embeddings model. The results overall show all classical and deep learning models to outperform our baseline, which demonstrates the suitability of the corpus for both dialect and country-of-origin identification tasks. I am making the corpus and the trained CBOW word embeddings freely available for research purposes

Beyond Campaign Finance Reform

While the public blames the United States Supreme Court’s decision in Citizens United v. FEC for the outsized political influence of the super-wealthy, experts in the field know that the constitutional constraints on our ability to limit the political influence of moneyed elites long-predate Citizens United and pose a formidable barrier to effective campaign finance reform. Nevertheless, the most consistent calls in legal circles are for yet more campaign finance reform. This Article argues that it is time for those serious about curtailing the influence of money in politics to recognize that the struggle for effective campaign finance reforms has run its course. Renewed democratic accountability requires an organized, informed, and representative electorate. The field of election law must, therefore, come to grips with the evidence that the apparent crisis of representation is attributable to profound social and political changes since the 1970s, foremost among them, a transformation of civic associations critically linked to legal choices. While increasing the representativeness of the electorate that turns out to vote must remain a key priority for the field, it is time to attend to the ways that law might encourage civic reorganization—just getting voters out on election days is too little too late. In making this argument, this Article defends two controversial claims: First, the First Amendment tradition poses a formidable barrier to curtailing the influence of moneyed interests regardless of the composition of the Supreme Court. Second, the widespread skepticism in the field that the electorate can be a source of democratic accountability is overstated: The fact that voters, as individuals, are incapable of monitoring elected officials does not foreclose the possibility that voters, as groups, could demand democratic responsiveness. In fact, the historical record reveals that ordinary citizens can exercise influence over the officials elected to represent them when they are well organized and vote