Very weak estimates for a rough Poisson-Dirichlet problem with natural vertical boundary conditions

This work is a continuation of [E. Bonnetier, D.Bresch, V. Milisic, submitted]; it deals with rough boundaries in the simplified context of a Poisson equation. We impose Dirichlet boundary conditions on the periodic microscopic perturbation of a flat edge on one side and natural homogeneous Neumann boundary conditions are applied on the inlet/outlet of the domain. To prevent oscillations on the Neumann-like boundaries, we introduce a microscopic vertical corrector defined in a rough quarter-plane. In [E. Bonnetier, D.Bresch, V. Milisic, submitted] we studied a priori estimates in this setting; here we fully develop very weak estimates a la Necas [J. Necas. Les m\'ethodes directes en th\'eorie des \'equations elliptiques] in the weighted Sobolev spaces on an unbounded domain. We obtain optimal estimates which improve those derived in [E. Bonnetier, D.Bresch, V. Milisic, submitted]. We validate these results numerically, proving first order results for boundary layer approximation including the vertical correctors and a little less for the averaged wall-law introduced in the literature [W. J\"ager and A. Mikelic. J. Diff. Equa., N. Neus, M. Neus, A. Mikelic, Appl. Anal. 2006]

Political economy of the US financial crisis 2007-2009

The emphasis of this paper is on the political economy of the subprime mortgage crisis in the United States and how the policy makers contributed to it through their legislation and regulations, made under the rising influence of interest groups and the lobbying activities of the finance industry. The “Great Recession” of 2007-2009 began as a bubble-burst in the mortgage market in the United States that spilled over to the entire financial market of the US, and afterwards to the integrated world financial market. The crisis sprang up over the US real sector and, due to the decline in US aggregate demand, spread consequently to the real economy of the rest of the World. No sound evidence has been given for the publicly proclaimed idea that the causes of the crisis lie within the self-regulating free market. The causes of the crisis lie primarily in the activities of political power, i.e. in the extensive government regulation which has, under the strong influence of interest groups and the lobbying power of financial corporations, led to favouritism in macroeconomic policies and inefficient resource allocation. Regulation was enforced by stimulating affordable housing through government sponsored enterprises, oligopoly of the rating agencies, banking regulation and an increasing connection between government and the finance industry.United States financial crisis, political economy, government regulation, lobbying, political power

Space dependent adhesion forces mediated by transient elastic linkages : new convergence and global existence results

In the first part of this work we show the convergence with respect to an asymptotic parameter {\epsilon} of a delayed heat equation. It represents a mathematical extension of works considered previously by the authors [Milisic et al. 2011, Milisic et al. 2016]. Namely, this is the first result involving delay operators approximating protein linkages coupled with a spatial elliptic second order operator. For the sake of simplicity we choose the Laplace operator, although more general results could be derived. The main arguments are (i) new energy estimates and (ii) a stability result extended from the previous work to this more involved context. They allow to prove convergence of the delay operator to a friction term together with the Laplace operator in the same asymptotic regime considered without the space dependence in [Milisic et al, 2011]. In a second part we extend fixed-point results for the fully non-linear model introduced in [Milisic et al, 2016] and prove global existence in time. This shows that the blow-up scenario observed previously does not occur. Since the latter result was interpreted as a rupture of adhesion forces, we discuss the possibility of bond breaking both from the analytic and numerical point of view

Blood-Flow Modelling Along and Trough a Braided Multi-Layer Metallic Stent

In this work we study the hemodynamics in a stented artery connected either to a collateral artery or to an aneurysmal sac. The blood flow is driven by the pressure drop. Our aim is to characterize the flow-rate and the pressure in the contiguous zone to the main artery: using boundary layer theory we construct a homogenized first order approximation with respect to epsilon, the size of the stent's wires. This provides an explicit expression of the velocity profile through and along the stent. The profile depends only on the input/output pressure data of the problem and some homogenized constant quantities: it is explicit. In the collateral artery this gives the flow-rate. In the case of the aneurysm, it shows that : (i) the zeroth order term of the pressure in the sac equals the averaged pressure along the stent in the main artery, (ii) the presence of the stent inverses the rotation of the vortex. Extending the tools set up in [Bonnetier et al, Adv. Math. Fluids, 2009, Milisic, Meth. Apl. Ann., 2009] we prove rigorously that our asymptotic approximation is first order accurate with respect to . We derive then new implicit interface conditions that our approximation formally satisfies, generalizing our analysis to other possible geometrical configurations. In the last part we provide numerical results that illustrate and validate the theoretical approach

Unrecorded capital flows and accumulation of foreign assets: the case of Croatia

This paper evaluates the magnitude of unrecorded capital flows and the resulting unrecorded accumulation of foreign assets for Croatia, over the period between 2000 and 2007. The problem of unrecorded capital outflows, often labeled as capital flight, has gained significance in the present global financial and economic crises, because of increasing capital scarcity in many emerging markets and transition economies including Croatia. The findings reveal relatively large amounts of unrecorded foreign asset accumulation over the observed period. A large portion of this accumulation relates to cumulative amounts of net errors and omissions term, which is interpreted as unrecorded capital flow. There are reasons to believe that this net errors and omissions item in Croatia possibly partly represents the unrecorded accumulation of foreign cash from foreign tourist spending, and/or partly results from overstated tourism income in the official statistics. However, even after excluding this item from the calculation of capital flight, the remaining unrecorded accumulation of foreign assets over the period is still substantial. Consequently, if these unrecorded flows are taken into account, Croatia’s net international investment position is improved