Abstract. We study the H-norm of the function 1 on tubular neighbourhoods of curves in R. We take the limit of small thickness ε, and we prove two different asymptotic results. The first is an asymptotic development for a fixed curve in the limit ε → 0, containing contributions from the length of the curve (at order ε), the ends (ε), and the curvature (ε). The second result is a Γ-convergence r...

In this paper we present a variational formulation of the problem of determining the elastic stresses in a contact lens on an eye and the induced suction pressure distribution in the tear film between the eye and the lens. This complements the force-balance derivation that we used in earlier work [K. L. Maki and D. S. Ross, J. Bio. Sys., 22 (2014), pp. 235–248]. We investigate the existence of ...

AIM To elucidate the diurnal variation in human corneal thickness over a 48 hour period. METHOD Changes in central corneal thickness were monitored in eight healthy subjects (four male, four female) aged between 10 and 63 years using an ultrasonic pachymeter. Measurements were made over a 48 hour period-immediately before sleep, immediately upon waking and at 15, 30, 45 minutes, 1, 1.5, 2, 2....

Models of topographic support on Europa by lateral shell thickness variations have previously assumed a Newtonian ice viscosity. Here I show that using a more realistic stress-dependent viscosity gives relaxation times which can be significantly different. Topography of wavelength 100 km cannot be supported by lateral shell thickness variations for ∼ 50 Myr, unless the shell thickness is < 10 k...

The purpose of the hot rolling mill is to make a preheated steel block thinner and longer, see Figure 1. This is done by pulling the plate through two parallel rolls mounted in the rolling mill. Due to the large forces obtained in hot rolling, the elastic de ection of the rolling mill is of the same order of magnitude as the plate thickness. Variations in the rolling force caused by variations ...