scholarly journals Analytical consideration of thermodynamic jump condition

2008 ◽  
Vol 3 ◽  
pp. 27-34 ◽  
Author(s):  
Yukihiro YONEMOTO ◽  
Tomoaki KUNUGI
Keyword(s):  
Jump Condition ◽  
Analytical Consideration

scholarly journals On the pointwise jump condition at the free boundary in the 1-phase Stefan problem

2005 ◽  
Vol 4 (2) ◽  
pp. 357-366
Author(s):  
Donatella Danielli ◽  
◽  
Marianne Korten ◽  
Keyword(s):  
Free Boundary ◽  
Stefan Problem ◽  
Jump Condition

scholarly journals Impact of acute static-stretching on the optimal height in drop jumps

2014 ◽  
Vol 20 (1) ◽  
pp. 65-70
Author(s):  
Leonardo A. Pasqua ◽  
Nilo M. Okuno ◽  
Mayara V. Damasceno ◽  
Adriano. E. Lima-Silva ◽  
Rômulo Bertuzzi
Keyword(s):  
Contact Time ◽  
Jump Condition ◽  
Static Stretching ◽  
Drop Height ◽  
Plantar Flexors ◽  
Jump Performance ◽  
Physically Active ◽  
Height Determination ◽  
Drop Jumps ◽  
Male Subjects

This study analyzed the effect of static stretching on performance during drop jumps. Furthermore, we investigated if a reduction in drop height would compensate the stretching-caused alterations. Ten physically active male subjects performed drop jumps at four different drop heights without static stretching for the optimal drop height determination. After, they performed drop jumps on two drop heights with static stretching previously. The jump height, contact time and reactive strength index were significantly affected by static stretching. However, only the contact time was significantly improved by the reduction in drop height with previous static stretching. Our results suggest that the decrement in performance after static stretching could be partially compensated by a reduction in drop height, which decreases the contact time near a non-stretching jump condition. This can be explained by the lower landing velocity and, possibly, the smaller reduction in the activation of the plantar flexors muscles. In conclusion, the reduction in drop height seems to be interesting after a static stretching session, aiming to expose the athletes to lower impact forces to maintain jump performance.

scholarly journals A NOTE ON REAL-WORLD AND RISK-NEUTRAL DYNAMICS FOR HEATH–JARROW–MORTON FRAMEWORKS

2020 ◽  
Vol 23 (03) ◽  
pp. 2050020
Author(s):  
DAVID CRIENS
Keyword(s):  
Brownian Motion ◽  
Real World ◽  
Random Measure ◽  
Jump Condition ◽  
Poisson Random Measure ◽  
Change Of Measure ◽  
The Real ◽  
Infinite Dimensional ◽  
Risk Neutral ◽  
Equivalent Change Of Measure

We show that for time-inhomogeneous Markovian Heath–Jarrow–Morton models driven by an infinite-dimensional Brownian motion and a Poisson random measure an equivalent change of measure exists whenever the real-world and the risk-neutral dynamics can be defined uniquely and are related via a drift and a jump condition.

Effect of Mesoscopic Structure of Interface on Heat and Mass Transfer in a Partially Porous Cavity

2009 ◽  
Author(s):  
Baoming Chen ◽  
Li Wang ◽  
Fang Liu ◽  
Heming Yun ◽  
Wenguang Geng
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Jump Condition ◽  
Domain Model ◽  
Fluid Interface ◽  
Stress Jump ◽  
Left Wall ◽  
Structure Changes ◽  
Mesoscopic Structure ◽  
Flow Heat

Natural convective heat and mass transfer in a cavity partially filled with a vertical porous layer along the left wall was studied in this paper. Different uniform temperature and concentration were specified at the external vertical walls of the cavity while the horizontal walls are adiabatic and impermeable. Two-domain model together with weak constraint method at the porous/fluid interface was used to simulate the flow, heat and mass transfer in the cavity. The shear stress jump condition at the porous/fluid interface is invoked when the Brinkman-Forhheimer-extended Darcy model is used. The mesoscopic structure is homogeneous (the porosity is constant) at the interior region of porous media while the mesoscopic structure changes acutely at the porous/fluid interfacial location. The effect of the mesoscopic structure changes at the porous/fluid interface region on the macroscopic balance is preserved by prescribing the stress jump condition at the interface. This paper focused on the changes of the stress jump coefficients and their influence on heat and mass transfer at the porous/fluid interface.

ASYMPTOTIC EXPANSIONS FOR RIEMANN–HILBERT PROBLEMS

2008 ◽  
Vol 06 (03) ◽  
pp. 269-298 ◽  
Author(s):  
W.-Y. QIU ◽  
R. WONG
Keyword(s):  
Asymptotic Expansion ◽  
Complex Analysis ◽  
Elementary Proof ◽  
Hilbert Problem ◽  
Jump Condition ◽  
Similar Type ◽  
Matrix Solution ◽  
Jump Matrix ◽  
The Matrix ◽  
Riemann Hilbert Problem

Let Γ be a piecewise smooth contour in ℂ, which could be unbounded and may have points of self-intersection. Let V(z, N) be a 2 × 2 matrix-valued function defined on Γ, which depends on a parameter N. Consider a Riemann–Hilbert problem for a matrix-valued analytic function R(z, N) that satisfies a jump condition on the contour Γ with the jump matrix V(z, N). Assume that V(z, N) has an asymptotic expansion, as N → ∞, on Γ. An elementary proof is given for the existence of a similar type of asymptotic expansion for the matrix solution R(z, N), as n → ∞, for z ∈ ℂ\Γ. Our method makes use of only complex analysis.

scholarly journals Analytical Consideration of Growth in Population via Homological Invariant in Algebraic Topology

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Lewis Brew ◽  
William Obeng-Denteh ◽  
Fred Asante-Mensa
Keyword(s):  
Topological Space ◽  
Population Growth ◽  
Algebraic Topology ◽  
Homology Theory ◽  
Significant Feature ◽  
Topological Properties ◽  
Analytical Consideration ◽  
Abstract Approach ◽  
Dimensional Surface

This paper presents an abstract approach of analysing population growth in the field of algebraic topology using the tools of homology theory. For a topological space X and any point vn∈X, where vn is the n-dimensional surface, the group η=X,vn is called population of the space X. The increasing sequence from vin∈X to vjn∈X for i<j provides the bases for the population growth. A growth in population η=X,vn occurs if vin<vjn for all vin∈X and vjn∈X. This is described by the homological invariant Hηk=1. The aim of this paper is to construct the homological invariant Hηk and use Hηk=1 to analyse the growth of the population. This approach is based on topological properties such as connectivity and continuity. The paper made extensive use of homological invariant in presenting important information about the population growth. The most significant feature of this method is its simplicity in analysing population growth using only algebraic category and transformations.

Sign in / Sign up

Export Citation Format

Share Document