We discuss a lubrication approximation model of the interface between two immiscible fluids in a Hele-Shaw cell, derived in [CDG93] and widely studied since. The model consists of a single one dimensional evolution equation for the thickness 2h = 2h(x, t) of a thin neck of fluid, ∂th+ ∂x(h ∂ 3 xh) = 0 , for x ∈ (−1, 1) and t ≥ 0. The boundary conditions fix the neck height and the pressure jump...

OBJECTIVE To evaluate the independent relationship of the Shaw scalpel on the development of facial nerve injury in patients undergoing superficial parotidectomy. METHODS A retrospective review of 77 cases between 1991 and 1996. Forty-eight percent of the surgical procedures were performed using the Shaw scalpel, and 52% were performed using a cold knife. To assess whether use of the Shaw sca...

In this report, I will survey the dominant theories employed in the academic subdiscipline of business ethics, describing and critiquing each one. By “theories” I mean not only the various philosophical approaches which inform discourse and research in this field, but also the alternative paradigms to which those approaches pertain according to the following schema. I will adopt for this survey...

This paper investigates the adaptive chaos control and synchronization of the Shaw chaotic system (Shaw, 1981) with unknown parameters. First, we design adaptive control laws to stabilize the Shaw chaotic system with unknown parameters to its unstable equilibrium at the origin based on the adaptive control theory and Lyapunov stability theory. Next, we derive adaptive control laws to achieve gl...