Asymptotic stability of a mathematical model of cell population

We consider a simplified system of a growing colony of cells described as a free boundary problem. The system consists of two hyperbolic equations of first order coupled to an ODE to describe the behavior of the boundary. The system for cell populations includes non-local terms of integral type in the coefficients. By introducing a comparison with solutions of an ODE's system, we show that there exists a unique homogeneous steady state which is globally asymptotically stable for a range of parameters under the assumption of radially symmetric initial data.

Some aspects of lubrication in heavy regimes: thermal effects, stability and turbulence

In this work, a combination of numerical methods applied to thermohydrodynamic lubrication problems with cavitation is presented. It should be emphasized the difficulty of the nonlinear mathematical coupled model involving a free boundary problem, but also the simplicity of the algorithms employed to solve it. So, finite element discretizations for the hydrodynamic and thermal equations combined with upwind techniques for the convection terms and duality methods for nonlinear features are proposed. Additionally, a model describing the movement of the shaft is provided. Considering the shaft as a rigid body this model will consist of an ODE system relating acceleration of the center of gravity and external and pressure loads. The numerical experiments of mechanical stability try to clarify the position of the neutral stability curve. Finally, a rotating machine for ship propulsion involving both axial and radial bearings operating with nonconventional lubricants (seawater to avoid environmental pollution) is analyzed by using laminar and turbulent inertial flows.

Analytical study of the thermal behaviour and stability of a small satellite

In this work the thermal analysis of a small satellite orbiting around the Earth has been approached by direct integration of the heat balance equations of a two-node reduced model, obtaining a linearized second order ODE problem, similar in form to the classical case of the forced vibration of a damped system. As the thermal loads (solar radiation, albedo, etc.) are harmonic, the problem is solved by means of Fourier analysis methods. Research on that field can be directly applied to the analysis of thermal problems and the results obtained are satisfactory. Working on the frequency domain streamlines the analysis, simplifies the study and facilitates the experimental testing. The transfer functions are obtained for the two-node case but the study can be extended to an n-node model.

Chemical Reactors. Problem 1: A simple ODE (chaos in the atmosphere) (2011-2012 Course)

Wording of problem 1: A simple ODE (chaos in the atmosphere).

Notebook of John Allen, 1772

Paper-covered notebook containing handwritten poems and verse by Harvard graduate John Allen. Some of the poems refer to Allen’s illnesses in October 1772. The notebook also contains a short list titled “The Gentleman that I wrote diplomas for," with a list of sixteen individuals who received degrees from Harvard. The inside cover includes the inscription: “John Allen – November 4, 1772. Poetic Composition.” “Dr. T. C. Gilman” is stamped on cover.

One year of Ukraine’s De-communisation. A change in the historical narrative. OSW COMMENTARY NUMBER 211/16.05.2016

A year ago, the Parliament of Ukraine adopted four bills on the policy of national memory: on granting access to the archives of the repressive organs of the Communist totalitarian regime in the years 1917–1991, on the legal status and commemoration of Ukrainian independence fighters in the twentieth century, on the immortalisation of the victory over Nazism in the Second World War, 1939–1945, and on the condemnation of the Communist and National Socialist (Nazi) totalitarian regimes and the forbidding of their symbolism from being promoted. The laws came into force on 21 May 2015. After a year, it can be stated that only the latter two are being observed – the official narrative regarding World War II has been changed, mainly due to the activity of the Ukrainian Institute of National Remembrance (UINR), but also as a result of public statements by President Petro Poroshenko. The process of removing from public places the names and commemorations referring to the Soviet era is underway, and the fears that this may trigger serious conflicts have not proved true. From roughly a thousand placenames subject to de-communisation some two thirds have been changed so far (parliamentary bills regarding the remaining ones are awaiting approval) and most statues of Communist leaders have been removed. However, the law concerning independence fighters, which raised the most serious controversies, did not have any practical consequences. Moreover, nothing suggests that this could change. The implementation of the de-communisation laws is associated with a significant change in Ukrainian patriotic narrative: it is no longer focused on national martyrdom and it is beginning to emphasize heroic motives, which is in line with wartime needs. The fact that some of these motives are likely to trigger problems in Ukraine’s relations with Poland seems to be viewed as a marginal ‘by-product’.

Performance testing of an improved driver restraint system for subcompact cars. Volume II - final report.

National Highway Traffic Safety Administration, Washington, D.C.

Mass distribution of the human body using biostereometrics. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Study of older child restraint/booster seat fit and NASS injury analysis. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

The English ode from Milton to Keats,

Issued also as thesis (PH. D.) Columbia university.

Performance evaluation of test dummies with flesh parts produced with substitute foaming compounds. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Trauer-Ode /

German words.

Neunte Symphonie mit Schlusschor über Schiller's Ode an die Freude, op. 125

Mode of access: Internet.

Head and face anthropometry of adult U.S. citizens.

Federal Aviation Administration, Washington, D.C.

Evaluation of passive belts for different size occupants. Final report, phase I.

National Highway Traffic Safety Administration, Washington, D.C.