Existence and uniqueness of global in time measure solution for a one dimensional nonlinear aggregation equation is considered. Such a system can be written as a conservation law with a velocity field computed through a self-consistent interaction potential. Blow up of regular solutions is now well established for such system. In Carrillo et al. (Duke Math J (2011)) [18], a theory of existence ...

This paper examines how Scientific and technological (S&T) human capital is transformed into financial capital through the creation of firms by scientists. The study is based on the analysis of the role and position of the 132 founders of 62 French biotech SMEs in their early years. . Our empirical analysis highlights that scientists who have the highest human capital in terms of reputation and...

In this work, we are interested in effects of a simple profile of permanent charges on ionic flows. We determine when a permanent charge produces current reversal. We adopt the classical Poisson-NernstPlanck models of ionic flows for this study. The starting point of our analysis is the recently developed geometric singular perturbation approach for Poisson-Nernst-Planck models. Under the setti...

in this study a nonlinear asymmetric instability analysis carried out to study primary atomization of annular liquid sheets emanating from the prefilming airblast atomizer using a perturbation method and potential flow assumption. in this direction, firstly governing equations derived according to potential flow assumption and conservation equations while dynamic and static boundary condition a...

We derive Kramers' formula as singular limit of the Fokker-Planck equation with double-well potential. The convergence proof is based on the Rayleigh principle of the underlying Wasser-stein gradient structure and complements a recent result by Peletier, Savaré and Veneroni.

A growing body of strategy research has recognized that a firm's reputation, defined as collective beliefs in the organizational field about a firm’s identity and prominence, as one of its most valuable assets. Yet research today has not examined how this asset is built, especially by new firms. Drawing on the idea that a firm’s reputation is accumulated through flows of strategic actions (Dier...

The objective of this study is to understand the flow above the front edge of low-rise building roofs. The greatest suction on the building is known to occur at this location as a result of the formation of conical vortices in the separated flow zone. It is expected that the relationship between this suction and upstream flow conditions can be better understood through the analysis of the vorte...

Consider the motion of a material point of unit mass in a central field determined by a homogeneous potential of the form (−1/rα), α > 0, where r being the distance to the centre of the field. Due to the singularity at r = 0, in computer-based simulations, usually, the potential is replaced by a similar potential that is smooth, or at least continuous. In this paper, we compare the global flows...

What can one infer about labor market °ows from matched employer-employee panel data? The purpose of this paper is to sketch possible answers to this question. A general but simple labor market equilibrium model of hire and separation °ows is developed in the paper. The model embodies the hypothesis that worker productivity di®ers across employers and that worker and employer °ows re°ect respon...

This paper examines how Scientific and technological (S&T) human capital is transformed into financial capital through the creation of firms by scientists. The study is based on the analysis of the role and position of the 132 founders of 62 French biotech SMEs in their early years. . Our empirical analysis highlights that scientists who have the highest human capital in terms of reputation and...