Equilibria for the NN-vortex-problem in a general bounded domain

This article is concerned with the study of existence and properties of stationary solutions for the dynamics of $N$ point vortices in an idealised fluid constrained to a bounded two--dimen\-sional domain $\Omega$, which is governed by a Hamiltonian system $$\left\{\begin{aligned} \Gamma_i\frac{d x_i}{d t} &=\frac{\partial H_\Omega}{\partial y_i}(z_1,\dots,z_N)\\ \Gamma_i\frac{d y_i}{d t} &=-\frac{\partial H_\Omega}{\partial x_i}(z_1,\dots,z_N) \end{aligned} \hspace{2cm}\text{where}\ z_i=(x_i,y_i),\ i=1,\dots,N, \right.$$ where $H_\Omega(z):=\sum_{j=1}^N\Gamma_j^2h(z_j)+\sum_{i,j=1, i\not=j}^N\Gamma_i\Gamma_jG(z_i,z_j)$ is the so--called Kirchhoff--Routh--path function under various conditions on the "vorticities" $\Gamma_i$ and various topological and geometrical assumptions on $\Omega$. In particular, we will prove that (under an additional technical assumption) if it is possible to align the vortices along a line, such that the signs of the $\Gamma_i$ are alternating and $|\Gamma_i|$ is increasing, $H_\Omega$ has a critical point. If $\Omega$ is not simply connected, we are able to derive a critical point of $H_\Omega$, if $\sum_{j\in J}\Gamma_j^2>\sum_{\substack{i,j\in J\\ i\not=j}}|\Gamma_i\Gamma_j|$ for all $J\subset\{1,\dots,N\}$, $|J|\ge 2$.Comment: 35 pages, 3 figure

Putting an End to the Silence: Educating Society about the Canadian Residential School System

This paper advocates for the increased education of Canadian society regarding the Indian Residential School System. Many Canadian’s tend to be uninformed on the history of the schools and as a result risk subjecting Aboriginal peoples to further harm. The contents of this paper demonstrates by informing all Canadian citizens of the truth regarding the assimilative schools and their enduring legacy on Aboriginal peoples, several benefits can occur. Specifically, through revealing the truth regarding the residential schools, healing becomes possible for victims, over-representation within the criminal justice system can be better understood as well as addressed, and future harm can be more easily identified as well as prevented. Overall, remaining silent and uninformed about Canadian residential schools can be harmful to Aboriginal peoples, thus it is important society be informed on this history

Income mobility, unemployment and GDP

This paper attempts to identify macroeconomic factors of income mobility. Explored is the relationship between biannual relative income mobility, the relative change in the unemployment rate and the relative change in GDP. A theoretical model is proposed which provides an explanation of the nature of this relationship. It is then verified using household budget data from the CHER database.income mobility ; unemployment ; GDP

Wave Front Shaping in Quasi-One-Dimensional Waveguides

Using 10 monopole antennas reaching into a rectangular multi mode waveguide we shape the incident wave to create specific transport even after scattering events. Each antenna is attached to an IQ-Modulator, which allows the adjustment of the amplitude and phase in a broad band range of 6-18 GHz. All of them are placed in the near field of the other, thus the excitation of an individual antenna is influenced by the presence of the other antennas. Still these 10 antennas are sufficient to generate any combination of the 10 propagating modes in the far field. At the output the propagating modes are extracted using a movable monopole antenna that is scanning the field. If the modes are scattered in a scattering region, the incident wave can be adjusted in such a way, that the outgoing wave can still be adjusted as long as localization is not present.Comment: 6 pages, 8 figure

Computational modeling of acute myocardial infarction

This is an Accepted Manuscript of an article published by Taylor & Francis Group in Computer Methods in Biomechanics and Biomedical Engineering on October, 2016, available online at: http://www.tandfonline.com/10.1080/10255842.2015.1105965Myocardial infarction, commonly known as heart attack, is caused by reduced blood supply and damages the heart muscle because of a lack of oxygen. Myocardial infarction initiates a cascade of biochemical and mechanical events. In the early stages, cardiomyocytes death, wall thinning, collagen degradation, and ventricular dilation are the immediate consequences of myocardial infarction. In the later stages, collagenous scar formation in the infarcted zone and hypertrophy of the non-infarcted zone are auto-regulatory mechanisms to partly correct for these events. Here we propose a computational model for the short-term adaptation after myocardial infarction using the continuum theory of multiplicative growth. Our model captures the effects of cell death initiating wall thinning, and collagen degradation initiating ventricular dilation. Our simulations agree well with clinical observations in early myocardial infarction. They represent a first step toward simulating the progression of myocardial infarction with the ultimate goal to predict the propensity toward heart failure as a function of infarct intensity, location, and size.Peer ReviewedPostprint (author's final draft

THE CHALLENGE OF MEETING SOUTHWEST FLORIDA'S WATER SUPPLY NEEDS

Resource /Energy Economics and Policy,