We study a smoothing effect of a non-linear degenerate parabolic problem, the Vlasov-Poisson-Fokker-Planck system, in three dimensions. We prove that a solution gives rise actually to very smooth macroscopic density and force field for positive time. This is obtained by analyzing the effect of the Fokker-Planck kernel on the force term in the Vlasov equation and using classical convolution ineq...

Active force-feedback holds the potential for precise and rapid controls. A high performance device can be built from a surplus disk drive and controlled from an inexpensive microcontroller. Our new design,The Plank has only one axis of force-feedback with limited range of motion. It is being used to explore methods of feeling and directly manipulating sound waves and spectra suitable for live ...

We find fundamental solutions in closed form for a family of parabolic equations with two spatial variables, whose symmetry groups had been determined in an earlier paper by Ferdinando Finkel [12]. We show how these results can be applied in finance to yield closed form solutions for special affine and quadratic two factor term structure models as well as a new class of models with inverse squa...

We have significant accomplishments on uncertainty quantification in inverse problems for dynamical systems, generalized sensitivity and optimal design of experiments, elasticity and viscoelasticity modeling for buried target detection, and general inverse problem methodology for proliferating populations. Our efforts have continued on development of efficient accurate integration of Fokker Pla...

We study the Markov property of processes described by generalized Fokker–Planck equations that are nonlinear with respect to probability densities such as mean ,eld Fokker–Planck equations and Fokker–Planck equations related to generalized thermostatistics. We show that their transient solutions describe non-Markov processes. In contrast, stationary solutions can describe Markov processes. As ...

We study time-delayed stochastic systems that can be described by means of so-called delay Fokker-Planck equations. Using Novikov's theorem, we first show that the theory of delay Fokker-Planck equations is on an equal footing with the theory of ordinary Fokker-Planck equations. Subsequently, we derive stationary distributions in the case of small time delays. In the case of additive noise syst...

BACKGROUND Among older people, undue risk taking could lead to falls, irrespective of physical ability. We investigated the interaction between risk-taking behavior and physical ability and its contribution to falls. METHODS Participants (N = 294, age ≥ 70) were asked to walk as quickly as possible to a visible destination by choosing one of six paths. Each contained a raised plank that had t...

This study aimed to examine the effects of kinesiology taping (KT) and different TRX suspension workouts on the amplitude of electromyographic (EMG) activity in the core muscles among people with chronic low back pain (LBP). Each participant (total n = 21) was exposed to two KT conditions: no taping and taping, while performing four TRX suspension exercises: (1) hamstring curl, (2) hip abductio...

A cause of limited physical activity levels in youth is the presence of low back pain (LBP), therefore proper assessment of low back function in physical education settings is needed to identify children who may be at risk. The purpose of this study was to determine the concurrent and criterion-referenced validity of field tests of low back and core muscular endurance in school-aged children. T...