We consider a stationary Stokes problem with a piecewise constant viscosity coefficient. For the variational formulation of this problem in H0 × L2 we prove a well-posedness result in which the constants are uniform with respect to the jump in the viscosity coefficient. For a standard discretization with a pair of LBB stable finite element spaces we prove an infsup stability result uniform with...

Humans, bushbabies, frogs, locusts, fleas and other animals jump by rapidly extending a pair of legs. Mathematical models are used to investigate the effect muscle properties, leg design and jumping technique have on jump height. Jump height increases with increased isometric force exerted by leg muscles, their maximum shortening speeds and their series compliances. When ground forces are small...

abstract many studies have been conducted on the characteristics of hydraulic jump over gradually expanding cross sections, but comparatively few have been carried out on basins with convergent wall. in the present research, the hydraulic jump characteristic of the stilling basin with convergent wall has been investigated. the main objective of this research is evaluation of conjugate depths ra...

hydraulic jump on adverse stilling basin is an unstable phenomenon which causes some complexities in controlling of the   jump. this paper considers the stability of free hydraulic jump on adverse stilling basins from a theoretical point of view. a minimum value of upstream froude number is needed to produce the free hydraulic jump on adverse stilling basins which was presented by a theoretical...

conclusions the he jump mat can be recommended in relation to the validity of constraints. in this study, only a part of the quality criteria were examined. for the final recommendation it is advised to examine the he jump mat on the other quality criteria (test-retest reliability, sensitivity change). background in the field of vertical jump diagnostics, force plates (fp) are the reference sta...

We establish uniqueness for a class of first-order Hamilton–Jacobi equations with Hamiltonians that arise from the large deviations empirical measure and flux pair weakly interacting Markov jump processes. As corollary, we obtain such deviation principle in context processes time-periodic rates which period-length converges to 0.

1. Introduction Carbon interstitial diffusion in austenite (γ-Fe) has been studied experimentally and analytically for many years. Two experimental studies have been made of carbon diffusion in austenite at low carbon contents. One is a measurement of the carbon chemical or intrinsic diffusion coefficient at 1075 K, 1124 K and 1273 K, and as a function of carbon content [1]; the other is a meas...

A pair of sets of natural numbers A and B forms a K-pair if there exists a c.e. set W , such that A × B ⊆ W and A × B ⊆ W . Kpairs are introduced by Kalimullin and used by him to prove the first order definability of the enumeration jump operator in the global structure of the enumeration degrees. He shows that the property of being a K-pair is degree theoretic and first order definable in the ...

A study was performed to evaluate effects of elastic energy stored pre-stretch on the mechanical work output while performing vertical jump. Eight male volunteers of age between 21 29 years old participated in the present study. The present study hypothesized that the vertical jump height during countermovement jumps (CMJ) would be higher than that during squat jump (SJ). During squat jump, a v...