Erhan Bayraktar University of Michigan Probabilistic Perron's method and verification without smoothness using viscosity comparison: the linear case We introduce a probabilistic version of the classical Perron's method to construct viscosity solutions to linear parabolic equations associated to stochastic differential equations. Using this method, we construct easily two viscosity (sub and supe...

Gaining knowledge on the stability and viscosity of concentrated therapeutic protein solutions is of great relevance to the pharmaceutical industry. In this work, we borrow key concepts from colloid science to rationalize the impact of aggregate formation on the changes in viscosity of a concentrated monoclonal antibody solution. In particular, we monitor the kinetics of aggregate growth under ...

Turbochargers are most widely used in automotive, marine and locomotive applications with diesel engines. To increase the engine performance nowadays, in aerospace applications also turbochargers are used. Mostly the turbocharger rotors are commonly supported over the fluid film bearings. With the operation, lubricant properties continuously alter leading to different load bearing capacities. T...

The microscopic viscosity plays an essential role in cellular biophysics by controlling the rates of diffusion and bimolecular reactions within the cell interior. While several approaches have emerged that have allowed the measurement of viscosity and diffusion on a single cell level in vitro, the in vivo viscosity monitoring has not yet been realized. Here we report the use of fluorescent mole...

The apparent shear viscosity of p-methoxybenzylidene-p'-n-butylaniline in the presence of electrohydrodynamic convection (EHC) is investigated experimentally. In the absence of an electric field, directors are almost aligned along the flow direction such that the viscosity is close to the minimum of the Miesowicz viscosities. Since EHC disturbs the flow-aligned director configuration, the visco...

In this paper, we prove a comparison result between semicontinuous viscosity sub and supersolutions growing at most quadratically of second-order degenerate parabolic Hamilton-Jacobi-Bellman and Isaacs equations. As an application, we characterize the value function of a finite horizon stochastic control problem with unbounded controls as the unique viscosity solution of the corresponding dynam...

Viscosity is an important property to known in energy engineering. Most lubricants are named after a ranking system that is directly related to how viscous that sample is. In addition to this, liquid fuels that are too viscous cannot achieve proper combustion in engines. In this report, a sample of baby oil was tested using Saybolt Universal viscometry to illustrate how increases in temperature...

The mixing dynamics of granular materials immersed in a liquid was experimentally studied in a quasi-2D rotating drum. A DV (SONY DCR-TRV900 NTSC) motion corder analyzer was used to record the motions of granular materials. The effects of interstitial fluid viscosity and filling degree on the mixing index, mixing rate constant, and dynamic repose angle in the rotating drum were investigated and...