We study the asymptotic behavior, as goes to 0, of a passive scalar T (x;t) solution of the following advection-diiusion equation: @T @t = 2 4T + 1 V (x; t 2) rT ; t > 0 T (x;0) = T0(x); x 2 IR d where is a strictly positive diiusion constant and fV (x; t); x 2 IR d ; t 0g is a mean zero homogeneous Gaussian eld. We assume that the covariance is of the form: IEfV (x; t)V (y; s)g = ?(x ? y) exp(...

Motion Control of Smart Material Based Actuators: Modeling, Controller Design and Experimental Evaluation Sining Liu, Ph.D. Concordia University, 2013 Smart material based actuators, such as piezoelectric, magnetostrictive, and shape memory alloy actuators, are known to exhibit hysteresis e ects. When the smart actuators are preceded with plants, such non-smooth nonlinearities usually lead to p...

Department of Industrial and Business Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, Taoyuan 333, Taiwan. Graduate Institute of Business Administration, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, Taoyuan 333, Taiwan. Department of Information Management, College of Management, Chang Gung University, 259, Wen-Hwa 1...

We propose a level set method for the semiclassical limit of the Schrödinger equation with discontinuous potentials. The discontinuities in the potential corresponds to potential barriers, at which incoming waves can be partially transmitted and reflected. Previously such a problem was handled by Jin and Wen using the Liouville equation – which arises as the semiclassical limit of the Schröding...

The tendon sheath mechanism plays an important role in many robotic systems from surgical devices to robot hands. However, many unexpected properties such as nonlinear hysteresis and backlash, which appear in the tendon sheath system, cause major losses in force transmission. This report deals with the characterization of hysteresis phenomenon, which is attributed to the presence of frictional ...

Depressurization and pressurization streams in industrial systems constitute a work exchange network (WEN). In this paper, a novel graphical approach for targeting energy conservation potential of a WEN is proposed. Through constructing the composite work curves in the pressure-work diagram and assuming all of the mechanical energy of the depressurization streams is recovered by expanders, the ...

A striking result of Bouc gives the decomposition of the representation of the symmetric group on the homology of the matching complex into irreducibles that are self-conjugate. We show how the combinatorial Laplacian can be used to give an elegant proof of this result. We also show that the spectrum of the Laplacian is integral.

Ghrelin, a brain-gut peptide that induces anxiety and other abnormal emotions, contributes to the effects of insomnia on emotional behavior. In contrast, the traditional Chinese Medicine remedy Wen Dan Tang reduces insomnia-related anxiety, which may perhaps correspond to changes in the brain-gut axis. This suggests a possible relationship between Wen Dan Tang's pharmacological mechanism and th...